%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM528+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:25:50 PM UTC 2026
% Result : Theorem 57.54s 12.43s
% Output : CNFRefutation 57.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 47
% Syntax : Number of formulae : 2205 ( 292 unt; 0 def)
% Number of atoms : 9355 (2898 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 12527 (5377 ~;6839 |; 236 &)
% ( 12 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 2084 ( 0 sgn2050 !; 34 ?;1613 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( X1 != sz00
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X1 = X0
| X1 = sz10 ) )
& X0 != sz10
& X0 != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f38,axiom,
! [X0] :
( ( X0 != sz10
& X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPDP) ).
fof(f40,axiom,
( xp != sz00
& xm != sz00
& xn != sz00
& aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( X2 != sz00
& X1 != sz00
& X0 != sz00
& aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
=> ( iLess0(X0,xn)
=> ~ ( isPrime0(X2)
| ( ! [X3] :
( ( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3) )
=> ( X3 = X2
| X3 = sz10 ) )
& X2 != sz10 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2963) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(f43,axiom,
( isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( xp = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xp
| X0 = sz10 ) )
& xp != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
fof(f44,axiom,
( doDivides0(xp,xn)
& ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X0] :
( sdtasdt0(xn,xn) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
( xq = sdtsldt0(xn,xp)
& xn = sdtasdt0(xp,xq)
& aNaturalNumber0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(f46,axiom,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
fof(f47,axiom,
( ( sdtlseqdt0(xn,xm)
| ? [X0] :
( sdtpldt0(xn,X0) = xm
& aNaturalNumber0(X0) ) )
=> ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& ? [X0] :
( sdtpldt0(sdtasdt0(xn,xn),X0) = sdtasdt0(xm,xm)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3152) ).
fof(f48,conjecture,
( ( sdtlseqdt0(xm,xn)
| ? [X0] :
( sdtpldt0(xm,X0) = xn
& aNaturalNumber0(X0) ) )
& xm != xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
| ? [X0] :
( sdtpldt0(xm,X0) = xn
& aNaturalNumber0(X0) ) )
& xm != xn ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,plain,
( doDivides0(xp,xn)
& ? [X1] :
( xn = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X0] :
( sdtasdt0(xn,xn) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f51,plain,
( ( sdtlseqdt0(xn,xm)
| ? [X0] :
( sdtpldt0(xn,X0) = xm
& aNaturalNumber0(X0) ) )
=> ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& ? [X1] :
( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),X1)
& aNaturalNumber0(X1) ) ) ),
inference(rectify,[],[f47]) ).
fof(f54,plain,
! [X0,X1,X2] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2 ) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f55,plain,
! [X0,X1,X2] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2 ) ) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
( isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10 ),
inference(ennf_transformation,[],[f43]) ).
fof(f57,plain,
( isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10 ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
( ( ~ sdtlseqdt0(xn,xm)
& ! [X0] :
( xm != sdtpldt0(xn,X0)
| ~ aNaturalNumber0(X0) ) )
| ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& ? [X1] :
( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),X1)
& aNaturalNumber0(X1) ) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f59,plain,
( ( ~ sdtlseqdt0(xm,xn)
& ! [X0] :
( xn != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) ) )
| xn = xm ),
inference(ennf_transformation,[],[f49]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f63,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f69,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f68]) ).
fof(f70,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(f71,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,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f73,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f74,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f75,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f77,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(ennf_transformation,[],[f26]) ).
fof(f79,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f83,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(f84,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,[],[f83]) ).
fof(f85,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(f86,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f102,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ),
inference(flattening,[],[f101]) ).
fof(f103,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(f104,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,[],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ! [X2] :
( ~ aNaturalNumber0(X2)
| ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ! [X2] :
( ~ aNaturalNumber0(X2)
| ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f115,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f114]) ).
fof(f116,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(f117,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,[],[f116]) ).
fof(f118,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(f119,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f121,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1,X2] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ( ~ isPrime0(X2)
& ( ( doDivides0(sK0(X2),X2)
& sdtasdt0(sK0(X2),sK1(X2)) = X2
& aNaturalNumber0(sK1(X2))
& aNaturalNumber0(sK0(X2))
& sK0(X2) != X2
& sz10 != sK0(X2) )
| sz10 = X2 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X2)),skolemize(X4,sK1(X2))],[f55]) ).
fof(f125,plain,
( doDivides0(xp,xn)
& xn = sdtasdt0(xp,sK3)
& aNaturalNumber0(sK3)
& doDivides0(xp,sdtasdt0(xn,xn))
& sdtasdt0(xn,xn) = sdtasdt0(xp,sK2)
& aNaturalNumber0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f50]) ).
fof(f126,plain,
( ( ~ sdtlseqdt0(xn,xm)
& ! [X1] :
( xm != sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1) ) )
| ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& ? [X0] :
( sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),X0)
& aNaturalNumber0(X0) ) ) ),
inference(rectify,[],[f58]) ).
fof(f127,plain,
( ( ~ sdtlseqdt0(xn,xm)
& ! [X1] :
( xm != sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1) ) )
| ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),sK4)
& aNaturalNumber0(sK4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f126]) ).
fof(f128,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ( isPrime0(sK5(X0))
& doDivides0(sK5(X0),X0)
& aNaturalNumber0(sK5(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f75]) ).
fof(f129,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f130,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(rectify,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ( doDivides0(sK6(X0),X0)
& aNaturalNumber0(sK6(X0))
& sK6(X0) != X0
& sz10 != sK6(X0) )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f131]) ).
fof(f133,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,[],[f98]) ).
fof(f134,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,[],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK7(X0,X1)) = X1
& aNaturalNumber0(sK7(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1))],[f134]) ).
fof(f136,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,[],[f104]) ).
fof(f137,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,[],[f136]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK8(X0,X1)) = X1
& aNaturalNumber0(sK8(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f139]) ).
fof(f141,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f142,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f143,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f144,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f145,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f146,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ~ isPrime0(X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f148,plain,
! [X2,X0,X1] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| doDivides0(sK0(X2),X2)
| sz10 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f149,plain,
! [X2,X0,X1] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| sdtasdt0(sK0(X2),sK1(X2)) = X2
| sz10 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f150,plain,
! [X2,X0,X1] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| aNaturalNumber0(sK1(X2))
| sz10 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f151,plain,
! [X2,X0,X1] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| aNaturalNumber0(sK0(X2))
| sz10 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f152,plain,
! [X2,X0,X1] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| sK0(X2) != X2
| sz10 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f153,plain,
! [X2,X0,X1] :
( sz00 = X2
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| sz10 != sK0(X2)
| sz10 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f154,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f155,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f57]) ).
fof(f156,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f157,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f158,plain,
sz10 != xp,
inference(cnf_transformation,[],[f57]) ).
fof(f159,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f125]) ).
fof(f160,plain,
xn = sdtasdt0(xp,sK3),
inference(cnf_transformation,[],[f125]) ).
fof(f161,plain,
aNaturalNumber0(sK3),
inference(cnf_transformation,[],[f125]) ).
fof(f162,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(cnf_transformation,[],[f125]) ).
fof(f163,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK2),
inference(cnf_transformation,[],[f125]) ).
fof(f164,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f125]) ).
fof(f165,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f166,plain,
xn = sdtasdt0(xp,xq),
inference(cnf_transformation,[],[f45]) ).
fof(f167,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f45]) ).
fof(f168,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f169,plain,
( ~ sdtlseqdt0(xn,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f170,plain,
! [X1] :
( xm != sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f171,plain,
( ~ sdtlseqdt0(xn,xm)
| sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),sK4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f172,plain,
! [X1] :
( xm != sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xm,xm) = sdtpldt0(sdtasdt0(xn,xn),sK4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f173,plain,
( ~ sdtlseqdt0(xn,xm)
| aNaturalNumber0(sK4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f174,plain,
! [X1] :
( xm != sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sK4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f175,plain,
( ~ sdtlseqdt0(xm,xn)
| xn = xm ),
inference(cnf_transformation,[],[f59]) ).
fof(f176,plain,
! [X0] :
( xn != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0)
| xn = xm ),
inference(cnf_transformation,[],[f59]) ).
fof(f177,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f178,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f184,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f185,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f188,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f189,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f72]) ).
fof(f190,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f191,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f192,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| isPrime0(sK5(X0)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f194,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| doDivides0(sK5(X0),X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f195,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK5(X0)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f196,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 ),
inference(cnf_transformation,[],[f132]) ).
fof(f197,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz10 != X0 ),
inference(cnf_transformation,[],[f132]) ).
fof(f198,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz00 != X0 ),
inference(cnf_transformation,[],[f132]) ).
fof(f199,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(sK6(X0),X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f200,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK6(X0))
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f201,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sK6(X0) != X0
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f202,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != sK6(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f203,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f205,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f206,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f207,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f208,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f209,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f210,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,[],[f84]) ).
fof(f211,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,[],[f84]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f213,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f214,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f218,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK7(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f135]) ).
fof(f219,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK7(X0,X1)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f137]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f225,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,[],[f137]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f230,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f233,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f112]) ).
fof(f234,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK8(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f236,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f140]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f117]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f117]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f241,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f242,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f243,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f198]) ).
fof(f244,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f197]) ).
fof(f246,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f220]) ).
fof(f247,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,[],[f225]) ).
fof(f248,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f224]) ).
fof(f249,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f223]) ).
fof(f251,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f237]) ).
tcf(c_49,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f146]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f145]) ).
tcf(c_51,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f144]) ).
tcf(c_52,plain,
xn != sz00,
inference(cnf_transformation,[],[f143]) ).
tcf(c_53,plain,
xm != sz00,
inference(cnf_transformation,[],[f142]) ).
tcf(c_54,plain,
xp != sz00,
inference(cnf_transformation,[],[f141]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X2,xn)
| ( sK0(X0) != sz10 )
| ( sdtasdt0(X0,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2) ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X2,xn)
| ( sK0(X0) != X0 )
| ( sdtasdt0(X0,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2) ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( aNaturalNumber0(sK0(X0))
| ( X2 = sz00 )
| ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X2,xn)
| ( sdtasdt0(X0,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2) ) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( aNaturalNumber0(sK1(X0))
| ( X2 = sz00 )
| ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X2,xn)
| ( sdtasdt0(X0,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2) ) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK0(X0),sK1(X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X2,xn)
| ( sdtasdt0(X0,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2) ) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(sK0(X0),X0)
| ( X2 = sz00 )
| ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X2,xn)
| ( sdtasdt0(X0,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2) ) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X1 = sz00 )
| ( X0 = sz00 )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X2,xn)
| ( sdtasdt0(X0,sdtasdt0(X1,X1)) != sdtasdt0(X2,X2) ) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_62,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f154]) ).
tcf(c_63,plain,
xp != sz10,
inference(cnf_transformation,[],[f158]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != xp ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_65,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_66,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f155]) ).
tcf(c_67,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f164]) ).
tcf(c_68,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK2),
inference(cnf_transformation,[],[f163]) ).
tcf(c_69,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(cnf_transformation,[],[f162]) ).
tcf(c_70,plain,
aNaturalNumber0(sK3),
inference(cnf_transformation,[],[f161]) ).
tcf(c_71,plain,
sdtasdt0(xp,sK3) = xn,
inference(cnf_transformation,[],[f160]) ).
tcf(c_72,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f159]) ).
tcf(c_73,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f167]) ).
tcf(c_74,plain,
sdtasdt0(xp,xq) = xn,
inference(cnf_transformation,[],[f166]) ).
tcf(c_75,plain,
sdtsldt0(xn,xp) = xq,
inference(cnf_transformation,[],[f165]) ).
tcf(c_76,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
inference(cnf_transformation,[],[f168]) ).
tcf(c_77,plain,
! [X0: $i] :
( aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xm ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_78,plain,
( aNaturalNumber0(sK4)
| ~ sdtlseqdt0(xn,xm) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_79,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtasdt0(xm,xm) )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xm ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_80,plain,
( ( sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtasdt0(xm,xm) )
| ~ sdtlseqdt0(xn,xm) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_81,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xm ) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_82,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( ( xn = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xn ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_84,negated_conjecture,
( ( xn = xm )
| ~ sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_94,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,[],[f187]) ).
tcf(c_95,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,[],[f186]) ).
tcf(c_96,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_97,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_98,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_99,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_100,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f192]) ).
tcf(c_101,plain,
! [X0: $i] :
( aNaturalNumber0(sK5(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_102,plain,
! [X0: $i] :
( doDivides0(sK5(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_103,plain,
! [X0: $i] :
( isPrime0(sK5(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_104,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK6(X0) != sz10 ) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_105,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK6(X0) != X0 ) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_106,plain,
! [X0: $i] :
( isPrime0(X0)
| aNaturalNumber0(sK6(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_107,plain,
! [X0: $i] :
( isPrime0(X0)
| doDivides0(sK6(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_108,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_109,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = X1 )
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_111,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_112,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_113,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_114,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f208]) ).
tcf(c_115,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f207]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(X2,X0),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(X1,sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK7(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK7(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| doDivides0(X0,X1)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_130,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,[],[f247]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_141,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK8(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK8(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(X1,sdtpldt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_203,plain,
~ isPrime0(sz10),
inference(global_subsumption_just,[status(thm)],[c_109,c_114,c_109]) ).
tcf(c_205,plain,
~ isPrime0(sz00),
inference(global_subsumption_just,[status(thm)],[c_108,c_100,c_108]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_142,c_149,c_142]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_125,c_121,c_125]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_130,c_121,c_130,c_210]) ).
tcf(c_5001,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_5011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_6657,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_96]) ).
tcf(c_6681,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_49,c_98]) ).
tcf(c_6682,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_98]) ).
tcf(c_6728,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_6682,c_207]) ).
tcf(c_6729,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_6728,c_100,c_50]) ).
tcf(c_6745,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_68,c_121]) ).
tcf(c_6748,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_76,c_121]) ).
tcf(c_6771,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_6745,c_67,c_51]) ).
tcf(c_6772,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6748,c_51]) ).
tcf(c_6855,plain,
sdtpldt0(sz00,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_6771,c_99]) ).
tcf(c_6904,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_6657,c_210]) ).
tcf(c_6916,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6904,c_100,c_49]) ).
tcf(c_6922,plain,
( aNaturalNumber0(sK5(xm))
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_6933,plain,
( aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ( xn != xm ) ),
inference(superposition,[status(thm)],[c_6681,c_77]) ).
tcf(c_6934,plain,
( aNaturalNumber0(sK4)
| ( xn != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6933,c_100]) ).
tcf(c_6951,plain,
( sdtlseqdt0(xn,xm)
| ( xn = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_138,c_84]) ).
tcf(c_6957,plain,
( sdtlseqdt0(xn,xm)
| ( xn = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6951,c_50,c_49]) ).
tcf(c_6964,plain,
( aNaturalNumber0(sK4)
| ( xn = xm ) ),
inference(superposition,[status(thm)],[c_6957,c_78]) ).
tcf(c_6967,plain,
aNaturalNumber0(sK4),
inference(global_subsumption_just,[status(thm)],[c_6964,c_6934,c_6964]) ).
tcf(c_7009,plain,
( ( xn = xm )
| ( sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtasdt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_6957,c_80]) ).
tcf(c_7089,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ( xn = xm )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_7009,c_207]) ).
tcf(c_7093,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ( xn = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7089,c_6967,c_6771]) ).
tcf(c_7097,plain,
( isPrime0(xm)
| aNaturalNumber0(sK6(xm))
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_7138,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_7159,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_120]) ).
tcf(c_7219,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_7369,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK4) = sdtpldt0(sK4,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6967,c_148]) ).
tcf(c_7541,plain,
sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtpldt0(sK4,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_6771,c_7369]) ).
tcf(c_7564,plain,
( ( xn = xm )
| ( sdtpldt0(sK4,sdtasdt0(xn,xn)) = sdtasdt0(xm,xm) ) ),
inference(demodulation,[status(thm)],[c_7009,c_7541]) ).
tcf(c_7710,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(X0,X1)
| ( xm != X1 )
| ( xn != X0 ) ),
inference(instantiation,[status(thm)],[c_5011]) ).
tcf(c_8029,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sz00)
| ( xn != xm ) ),
inference(superposition,[status(thm)],[c_6681,c_81]) ).
tcf(c_8030,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ( xn != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8029,c_100]) ).
tcf(c_8187,plain,
aNaturalNumber0(sK4),
inference(global_subsumption_just,[status(thm)],[c_78,c_6934,c_6964]) ).
tcf(c_8959,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_49,c_98]) ).
tcf(c_9253,plain,
! [X0: $i] :
( ( sdtpldt0(sK4,sdtasdt0(xn,xn)) = sdtasdt0(xm,xm) )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xm ) ),
inference(light_normalisation,[status(thm)],[c_79,c_7541]) ).
tcf(c_9263,plain,
( ( sdtpldt0(sK4,sdtasdt0(xn,xn)) = sdtasdt0(xm,xm) )
| ~ aNaturalNumber0(sz00)
| ( xn != xm ) ),
inference(superposition,[status(thm)],[c_6681,c_9253]) ).
tcf(c_9264,plain,
( ( sdtpldt0(sK4,sdtasdt0(xn,xn)) = sdtasdt0(xm,xm) )
| ( xn != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9263,c_100]) ).
tcf(c_10194,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_68,c_121]) ).
tcf(c_10222,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_10194,c_67,c_51]) ).
tcf(c_11178,plain,
sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(global_subsumption_just,[status(thm)],[c_82,c_7093,c_8030]) ).
tcf(c_11797,plain,
( sdtlseqdt0(xn,xm)
| ( xn = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_138,c_84]) ).
tcf(c_11801,plain,
( sdtlseqdt0(xn,xm)
| ( xn = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11797,c_50,c_49]) ).
tcf(c_11818,plain,
( ( xn = xm )
| ( sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtasdt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_11801,c_80]) ).
tcf(c_12471,plain,
xm = xm,
inference(instantiation,[status(thm)],[c_5001]) ).
tcf(c_13756,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xm) != sz00 ) ),
inference(instantiation,[status(thm)],[c_7219]) ).
tcf(c_19867,plain,
( ( sz00 = sK4 )
| ( xn = xm )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(xm,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_11818,c_93]) ).
tcf(c_19891,plain,
( ( sz00 = sK4 )
| ( xn = xm )
| ( sdtasdt0(xm,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19867,c_8187,c_10222]) ).
tcf(c_19989,plain,
sdtasdt0(xm,xm) != sz00,
inference(global_subsumption_just,[status(thm)],[c_19891,c_50,c_53,c_13756]) ).
tcf(c_23452,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xm) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_23781,plain,
! [X0: $i] :
( doDivides0(X0,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ doDivides0(X0,sdtpldt0(sK4,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_7541,c_122]) ).
tcf(c_23787,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sK4,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_7541,c_207]) ).
tcf(c_23798,plain,
sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sK4,sdtasdt0(xn,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_23787,c_6967,c_6771]) ).
tcf(c_23825,plain,
! [X0: $i] :
( doDivides0(X0,sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ doDivides0(X0,sdtpldt0(sK4,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23781,c_6967,c_6771]) ).
tcf(c_25728,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(xn) ),
inference(instantiation,[status(thm)],[c_7138]) ).
tcf(c_26038,plain,
( ( sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtasdt0(xm,xm) )
| ~ aNaturalNumber0(sz00)
| ( xn != xm ) ),
inference(superposition,[status(thm)],[c_8959,c_79]) ).
tcf(c_26040,plain,
( ( sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtasdt0(xm,xm) )
| ( xn != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26038,c_100]) ).
tcf(c_37809,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(global_subsumption_just,[status(thm)],[c_6772,c_50,c_23452]) ).
tcf(c_49690,plain,
sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtasdt0(xm,xm),
inference(global_subsumption_just,[status(thm)],[c_79,c_7009,c_26040]) ).
tcf(c_49761,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_68,c_121]) ).
tcf(c_49764,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_76,c_121]) ).
tcf(c_49791,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_49761,c_67,c_51]) ).
tcf(c_49792,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49764,c_51]) ).
tcf(c_49847,plain,
sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(global_subsumption_just,[status(thm)],[c_82,c_11178]) ).
tcf(c_49855,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(global_subsumption_just,[status(thm)],[c_49792,c_50,c_23452]) ).
tcf(c_52102,plain,
( ( sdtasdt0(xn,xn) = sdtasdt0(xm,xm) )
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_49847,c_140]) ).
tcf(c_52160,plain,
( ( sdtasdt0(xn,xn) = sdtasdt0(xm,xm) )
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52102,c_49855,c_49791]) ).
tcf(c_60062,plain,
sdtpldt0(sK4,sdtasdt0(xn,xn)) = sdtasdt0(xm,xm),
inference(global_subsumption_just,[status(thm)],[c_9264,c_7564,c_9264]) ).
tcf(c_60065,plain,
sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(demodulation,[status(thm)],[c_23798,c_60062]) ).
tcf(c_60079,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtpldt0(X0,sdtasdt0(xn,xn)) != sdtasdt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_60062,c_146]) ).
tcf(c_60080,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_60062,c_123]) ).
tcf(c_60166,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60080,c_6967,c_6771]) ).
tcf(c_60171,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xn)) != sdtasdt0(xm,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60079,c_6967,c_6771]) ).
tcf(c_62485,plain,
( doDivides0(xn,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,sK4) ),
inference(superposition,[status(thm)],[c_210,c_60166]) ).
tcf(c_62489,plain,
( doDivides0(xn,sdtasdt0(xm,xm))
| ~ doDivides0(xn,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62485,c_49]) ).
tcf(c_62515,plain,
( ( sz00 = sK4 )
| ~ aNaturalNumber0(sz00)
| ( sdtasdt0(xn,xn) != sdtasdt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_6855,c_60171]) ).
tcf(c_62517,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(xn,xn) != sdtasdt0(xm,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62515,c_100]) ).
tcf(c_62701,plain,
( doDivides0(xn,xm)
| ~ isPrime0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,sK4) ),
inference(superposition,[status(thm)],[c_62489,c_128]) ).
tcf(c_62706,plain,
( doDivides0(xn,xm)
| ~ isPrime0(xn)
| ~ doDivides0(xn,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62701,c_50,c_49]) ).
tcf(c_65851,plain,
! [X0: $i] :
( doDivides0(X0,sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(light_normalisation,[status(thm)],[c_23825,c_60062]) ).
tcf(c_98296,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,X0)
| ( xm != X0 )
| ( xn != xm ) ),
inference(instantiation,[status(thm)],[c_7710]) ).
tcf(c_117022,plain,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xm)
| ( xm != xm )
| ( xn != xm ) ),
inference(instantiation,[status(thm)],[c_98296]) ).
tcf(c_118163,plain,
sdtasdt0(xp,sK2) = sdtasdt0(sK2,xp),
inference(superposition,[status(thm)],[c_67,c_7159]) ).
tcf(c_118164,plain,
sdtasdt0(xp,sK3) = sdtasdt0(sK3,xp),
inference(superposition,[status(thm)],[c_70,c_7159]) ).
tcf(c_118165,plain,
sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
inference(superposition,[status(thm)],[c_73,c_7159]) ).
tcf(c_118177,plain,
sdtasdt0(sdtasdt0(xm,xm),xp) = sdtasdt0(xp,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_37809,c_7159]) ).
tcf(c_118231,plain,
sdtasdt0(xq,xp) = xn,
inference(light_normalisation,[status(thm)],[c_118165,c_74]) ).
tcf(c_118232,plain,
sdtasdt0(sK3,xp) = xn,
inference(light_normalisation,[status(thm)],[c_118164,c_71]) ).
tcf(c_118233,plain,
sdtasdt0(xn,xn) = sdtasdt0(sK2,xp),
inference(light_normalisation,[status(thm)],[c_118163,c_68]) ).
tcf(c_118235,plain,
sdtasdt0(sdtasdt0(xm,xm),xp) = sdtasdt0(xn,xn),
inference(light_normalisation,[status(thm)],[c_118177,c_62]) ).
tcf(c_118538,plain,
( sdtlseqdt0(xq,xn)
| ( xp = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_118231,c_86]) ).
tcf(c_118546,plain,
sdtlseqdt0(xq,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_118538,c_54,c_73,c_51]) ).
tcf(c_118646,plain,
( sdtlseqdt0(sK3,xn)
| ( xp = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_118232,c_86]) ).
tcf(c_118657,plain,
sdtlseqdt0(sK3,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_118646,c_54,c_70,c_51]) ).
tcf(c_118894,plain,
( doDivides0(sK2,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_118233,c_210]) ).
tcf(c_118908,plain,
doDivides0(sK2,sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_118894,c_67,c_51]) ).
tcf(c_119014,plain,
( doDivides0(sK2,sK4)
| ~ aNaturalNumber0(sK2)
| ~ doDivides0(sK2,sdtasdt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_118908,c_65851]) ).
tcf(c_119022,plain,
( doDivides0(sK2,sK4)
| ~ doDivides0(sK2,sdtasdt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_119014,c_67]) ).
tcf(c_122779,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_118235,c_86]) ).
tcf(c_122787,plain,
sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_122779,c_54,c_51,c_37809]) ).
tcf(c_122951,plain,
( ( sdtasdt0(xn,xn) = sdtasdt0(xm,xm) )
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_122787,c_140]) ).
tcf(c_122964,plain,
sdtasdt0(xn,xn) = sdtasdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_122951,c_37809,c_6771,c_60065]) ).
tcf(c_122970,plain,
( doDivides0(sK2,sK4)
| ~ doDivides0(sK2,sdtasdt0(xn,xn)) ),
inference(demodulation,[status(thm)],[c_119022,c_122964]) ).
tcf(c_123100,plain,
doDivides0(sK2,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_122970,c_118908]) ).
tcf(c_123171,plain,
( sdtlseqdt0(sK2,sK4)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[status(thm)],[c_123100,c_85]) ).
tcf(c_123173,plain,
( sdtlseqdt0(sK2,sK4)
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123171,c_6967,c_67]) ).
tcf(c_123251,plain,
sz00 = sK4,
inference(global_subsumption_just,[status(thm)],[c_123173,c_52160,c_62517,c_122787]) ).
tcf(c_123572,plain,
( doDivides0(xn,xm)
| ~ isPrime0(xn)
| ~ doDivides0(xn,sz00) ),
inference(demodulation,[status(thm)],[c_62706,c_123251]) ).
tcf(c_124570,plain,
( doDivides0(xn,xm)
| ~ isPrime0(xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123572,c_6916]) ).
tcf(c_125262,plain,
( sdtlseqdt0(xn,xm)
| ( xm = sz00 )
| ~ isPrime0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_124570,c_85]) ).
tcf(c_125264,plain,
( sdtlseqdt0(xn,xm)
| ~ isPrime0(xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125262,c_53,c_50,c_49]) ).
tcf(c_125284,plain,
sdtlseqdt0(xn,xm),
inference(global_subsumption_just,[status(thm)],[c_125264,c_6729,c_6957,c_12471,c_117022]) ).
tcf(c_125286,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_125284,c_139]) ).
tcf(c_125291,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_125286,c_50,c_49]) ).
tcf(c_125973,plain,
( sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_118546,c_125291]) ).
tcf(c_125975,plain,
( sdtlseqdt0(sK3,xm)
| ~ aNaturalNumber0(sK3) ),
inference(superposition,[status(thm)],[c_118657,c_125291]) ).
tcf(c_125977,plain,
sdtlseqdt0(sK3,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_125975,c_70]) ).
tcf(c_125978,plain,
sdtlseqdt0(xq,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_125973,c_73]) ).
tcf(c_209318,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xn),X0) = xn )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_217]) ).
tcf(c_209319,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xm),X0) = xm )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_217]) ).
tcf(c_209320,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xp),X0) = xp )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_217]) ).
tcf(c_209321,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sK2),X0) = sK2 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_67,c_217]) ).
tcf(c_209322,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sK3),X0) = sK3 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_70,c_217]) ).
tcf(c_209323,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xq),X0) = xq )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_217]) ).
tcf(c_209324,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sz00),X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_217]) ).
tcf(c_209325,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sz10),X0) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_217]) ).
tcf(c_209350,plain,
aNaturalNumber0(sK4),
inference(global_subsumption_just,[status(thm)],[c_78,c_6934,c_6964]) ).
tcf(c_209361,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_96]) ).
tcf(c_209362,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_96]) ).
tcf(c_209363,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_96]) ).
tcf(c_209364,plain,
sdtasdt0(sK2,sz00) = sz00,
inference(superposition,[status(thm)],[c_67,c_96]) ).
tcf(c_209365,plain,
sdtasdt0(sK3,sz00) = sz00,
inference(superposition,[status(thm)],[c_70,c_96]) ).
tcf(c_209366,plain,
sdtasdt0(xq,sz00) = sz00,
inference(superposition,[status(thm)],[c_73,c_96]) ).
tcf(c_209367,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_100,c_96]) ).
tcf(c_209368,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_114,c_96]) ).
tcf(c_209373,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_49,c_97]) ).
tcf(c_209374,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_97]) ).
tcf(c_209375,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_51,c_97]) ).
tcf(c_209376,plain,
sdtasdt0(sz00,sK2) = sz00,
inference(superposition,[status(thm)],[c_67,c_97]) ).
tcf(c_209377,plain,
sdtasdt0(sz00,sK3) = sz00,
inference(superposition,[status(thm)],[c_70,c_97]) ).
tcf(c_209378,plain,
sdtasdt0(sz00,xq) = sz00,
inference(superposition,[status(thm)],[c_73,c_97]) ).
tcf(c_209380,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_114,c_97]) ).
tcf(c_209385,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_49,c_98]) ).
tcf(c_209386,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_98]) ).
tcf(c_209387,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_51,c_98]) ).
tcf(c_209388,plain,
sdtpldt0(sK2,sz00) = sK2,
inference(superposition,[status(thm)],[c_67,c_98]) ).
tcf(c_209389,plain,
sdtpldt0(sK3,sz00) = sK3,
inference(superposition,[status(thm)],[c_70,c_98]) ).
tcf(c_209390,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_73,c_98]) ).
tcf(c_209391,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_100,c_98]) ).
tcf(c_209392,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_114,c_98]) ).
tcf(c_209397,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_99]) ).
tcf(c_209398,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_99]) ).
tcf(c_209399,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_99]) ).
tcf(c_209400,plain,
sdtpldt0(sz00,sK2) = sK2,
inference(superposition,[status(thm)],[c_67,c_99]) ).
tcf(c_209401,plain,
sdtpldt0(sz00,sK3) = sK3,
inference(superposition,[status(thm)],[c_70,c_99]) ).
tcf(c_209402,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_73,c_99]) ).
tcf(c_209404,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_114,c_99]) ).
tcf(c_209409,plain,
sdtasdt0(xn,sz10) = xn,
inference(superposition,[status(thm)],[c_49,c_112]) ).
tcf(c_209410,plain,
sdtasdt0(xm,sz10) = xm,
inference(superposition,[status(thm)],[c_50,c_112]) ).
tcf(c_209411,plain,
sdtasdt0(xp,sz10) = xp,
inference(superposition,[status(thm)],[c_51,c_112]) ).
tcf(c_209412,plain,
sdtasdt0(sK2,sz10) = sK2,
inference(superposition,[status(thm)],[c_67,c_112]) ).
tcf(c_209413,plain,
sdtasdt0(sK3,sz10) = sK3,
inference(superposition,[status(thm)],[c_70,c_112]) ).
tcf(c_209414,plain,
sdtasdt0(xq,sz10) = xq,
inference(superposition,[status(thm)],[c_73,c_112]) ).
tcf(c_209416,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(superposition,[status(thm)],[c_114,c_112]) ).
tcf(c_209421,plain,
sdtasdt0(sz10,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_113]) ).
tcf(c_209422,plain,
sdtasdt0(sz10,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_113]) ).
tcf(c_209423,plain,
sdtasdt0(sz10,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_113]) ).
tcf(c_209424,plain,
sdtasdt0(sz10,sK2) = sK2,
inference(superposition,[status(thm)],[c_67,c_113]) ).
tcf(c_209425,plain,
sdtasdt0(sz10,sK3) = sK3,
inference(superposition,[status(thm)],[c_70,c_113]) ).
tcf(c_209426,plain,
sdtasdt0(sz10,xq) = xq,
inference(superposition,[status(thm)],[c_73,c_113]) ).
tcf(c_209429,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209385,c_207]) ).
tcf(c_209430,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_209429,c_100,c_49]) ).
tcf(c_209432,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209386,c_207]) ).
tcf(c_209433,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_209432,c_100,c_50]) ).
tcf(c_209434,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209387,c_207]) ).
tcf(c_209435,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_209434,c_100,c_51]) ).
tcf(c_209436,plain,
( sdtlseqdt0(sK2,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209388,c_207]) ).
tcf(c_209437,plain,
sdtlseqdt0(sK2,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_209436,c_67,c_100]) ).
tcf(c_209438,plain,
( sdtlseqdt0(sK3,sK3)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209389,c_207]) ).
tcf(c_209439,plain,
sdtlseqdt0(sK3,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_209438,c_70,c_100]) ).
tcf(c_209447,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_68,c_121]) ).
tcf(c_209450,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_76,c_121]) ).
tcf(c_209466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),X2) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_217]) ).
tcf(c_209467,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_113]) ).
tcf(c_209468,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_112]) ).
tcf(c_209469,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_99]) ).
tcf(c_209470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_98]) ).
tcf(c_209471,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_97]) ).
tcf(c_209472,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_96]) ).
tcf(c_209473,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_209447,c_67,c_51]) ).
tcf(c_209474,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209450,c_51]) ).
tcf(c_209511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),X2) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_217]) ).
tcf(c_209512,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_113]) ).
tcf(c_209513,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_112]) ).
tcf(c_209514,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_99]) ).
tcf(c_209515,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_98]) ).
tcf(c_209516,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_97]) ).
tcf(c_209517,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_96]) ).
tcf(c_209541,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),X0) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_209473,c_217]) ).
tcf(c_209542,plain,
sdtasdt0(sz10,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_209473,c_113]) ).
tcf(c_209543,plain,
sdtasdt0(sdtasdt0(xn,xn),sz10) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_209473,c_112]) ).
tcf(c_209544,plain,
sdtpldt0(sz00,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_209473,c_99]) ).
tcf(c_209545,plain,
sdtpldt0(sdtasdt0(xn,xn),sz00) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_209473,c_98]) ).
tcf(c_209546,plain,
sdtasdt0(sz00,sdtasdt0(xn,xn)) = sz00,
inference(superposition,[status(thm)],[c_209473,c_97]) ).
tcf(c_209547,plain,
sdtasdt0(sdtasdt0(xn,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_209473,c_96]) ).
tcf(c_209552,plain,
( sdtlseqdt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209390,c_207]) ).
tcf(c_209553,plain,
sdtlseqdt0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_209552,c_73,c_100]) ).
tcf(c_209555,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209391,c_207]) ).
tcf(c_209556,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209555,c_100]) ).
tcf(c_209558,plain,
( sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209392,c_207]) ).
tcf(c_209559,plain,
sdtlseqdt0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_209558,c_114,c_100]) ).
tcf(c_209561,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209397,c_207]) ).
tcf(c_209562,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_209561,c_100,c_49]) ).
tcf(c_209564,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209398,c_207]) ).
tcf(c_209565,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_209564,c_100,c_50]) ).
tcf(c_209567,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209399,c_207]) ).
tcf(c_209568,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_209567,c_100,c_51]) ).
tcf(c_209569,plain,
sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(global_subsumption_just,[status(thm)],[c_82,c_7093,c_8030]) ).
tcf(c_209581,plain,
( doDivides0(xp,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_76,c_210]) ).
tcf(c_209582,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209368,c_210]) ).
tcf(c_209584,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209367,c_210]) ).
tcf(c_209591,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209361,c_210]) ).
tcf(c_209592,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209362,c_210]) ).
tcf(c_209593,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209363,c_210]) ).
tcf(c_209594,plain,
( doDivides0(sK2,sz00)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209364,c_210]) ).
tcf(c_209595,plain,
( doDivides0(sK3,sz00)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209365,c_210]) ).
tcf(c_209596,plain,
( doDivides0(xq,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209366,c_210]) ).
tcf(c_209597,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209584,c_100]) ).
tcf(c_209598,plain,
doDivides0(xq,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209596,c_73,c_100]) ).
tcf(c_209599,plain,
doDivides0(sK3,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209595,c_70,c_100]) ).
tcf(c_209600,plain,
doDivides0(sK2,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209594,c_67,c_100]) ).
tcf(c_209601,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209593,c_100,c_51]) ).
tcf(c_209602,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209592,c_100,c_50]) ).
tcf(c_209603,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209591,c_100,c_49]) ).
tcf(c_209604,plain,
doDivides0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_209582,c_114,c_100]) ).
tcf(c_209605,plain,
( doDivides0(xp,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209581,c_51]) ).
tcf(c_209618,plain,
( sdtlseqdt0(xn,xm)
| ( xn = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_138,c_84]) ).
tcf(c_209622,plain,
( sdtlseqdt0(xn,xm)
| ( xn = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_209618,c_50,c_49]) ).
tcf(c_209625,plain,
sdtlseqdt0(xn,xm),
inference(global_subsumption_just,[status(thm)],[c_209622,c_125284]) ).
tcf(c_209628,plain,
( sdtlseqdt0(sz00,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209400,c_207]) ).
tcf(c_209629,plain,
sdtlseqdt0(sz00,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_209628,c_67,c_100]) ).
tcf(c_209631,plain,
( sdtlseqdt0(sz00,sK3)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209401,c_207]) ).
tcf(c_209632,plain,
sdtlseqdt0(sz00,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_209631,c_70,c_100]) ).
tcf(c_209633,plain,
sdtpldt0(sdtasdt0(xn,xn),sK4) = sdtasdt0(xm,xm),
inference(global_subsumption_just,[status(thm)],[c_80,c_49690]) ).
tcf(c_209635,plain,
sdtasdt0(xn,xn) = sdtasdt0(xm,xm),
inference(light_normalisation,[status(thm)],[c_209633,c_209545,c_123251]) ).
tcf(c_209636,plain,
sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)),
inference(demodulation,[status(thm)],[c_209569,c_209635]) ).
tcf(c_209637,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xn),
inference(demodulation,[status(thm)],[c_76,c_209635]) ).
tcf(c_209638,plain,
sdtasdt0(xp,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
inference(demodulation,[status(thm)],[c_62,c_209635]) ).
tcf(c_209639,plain,
sdtasdt0(xn,xn) != sz00,
inference(demodulation,[status(thm)],[c_19989,c_209635]) ).
tcf(c_209640,plain,
( doDivides0(xm,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209635,c_210]) ).
tcf(c_209642,plain,
doDivides0(xm,sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_209640,c_50]) ).
tcf(c_209651,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X1,sK5(X0)),X1) = sK5(X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_217]) ).
tcf(c_209652,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK5(X0)) = sK5(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_113]) ).
tcf(c_209653,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK5(X0),sz10) = sK5(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_112]) ).
tcf(c_209654,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK5(X0)) = sK5(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_99]) ).
tcf(c_209655,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK5(X0),sz00) = sK5(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_98]) ).
tcf(c_209656,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK5(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_97]) ).
tcf(c_209657,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK5(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_96]) ).
tcf(c_209705,plain,
( sdtlseqdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209402,c_207]) ).
tcf(c_209706,plain,
sdtlseqdt0(sz00,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_209705,c_73,c_100]) ).
tcf(c_209716,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209404,c_207]) ).
tcf(c_209717,plain,
sdtlseqdt0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_209716,c_114,c_100]) ).
tcf(c_209718,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209409,c_210]) ).
tcf(c_209720,plain,
doDivides0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_209718,c_114,c_49]) ).
tcf(c_209721,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209410,c_210]) ).
tcf(c_209723,plain,
doDivides0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_209721,c_114,c_50]) ).
tcf(c_209730,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_120]) ).
tcf(c_209731,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_120]) ).
tcf(c_209732,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_120]) ).
tcf(c_209733,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK2) = sdtasdt0(sK2,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_67,c_120]) ).
tcf(c_209734,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK3) = sdtasdt0(sK3,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_70,c_120]) ).
tcf(c_209735,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xq) = sdtasdt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_120]) ).
tcf(c_209736,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_120]) ).
tcf(c_209737,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK5(X0),X1) = sdtasdt0(X1,sK5(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_120]) ).
tcf(c_209738,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_120]) ).
tcf(c_209739,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_121,c_120]) ).
tcf(c_209740,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_149,c_120]) ).
tcf(c_209741,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xn),X0) = sdtasdt0(X0,sdtasdt0(xn,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_209473,c_120]) ).
tcf(c_209789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK7(X0,X1),X2) = sdtasdt0(X2,sK7(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_120]) ).
tcf(c_209790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sK7(X0,X1)),X2) = sK7(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_217]) ).
tcf(c_209791,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK7(X0,X1)) = sK7(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_113]) ).
tcf(c_209792,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK7(X0,X1),sz10) = sK7(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_112]) ).
tcf(c_209793,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK7(X0,X1)) = sK7(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_99]) ).
tcf(c_209794,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK7(X0,X1),sz00) = sK7(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_98]) ).
tcf(c_209795,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK7(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_97]) ).
tcf(c_209796,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK7(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_96]) ).
tcf(c_209845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK8(X0,X1),X2) = sdtasdt0(X2,sK8(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_120]) ).
tcf(c_209846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sK8(X0,X1)),X2) = sK8(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_217]) ).
tcf(c_209847,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK8(X0,X1)) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_113]) ).
tcf(c_209848,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sz10) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_112]) ).
tcf(c_209849,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK8(X0,X1)) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_99]) ).
tcf(c_209850,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK8(X0,X1),sz00) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_98]) ).
tcf(c_209851,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK8(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_97]) ).
tcf(c_209852,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_96]) ).
tcf(c_209902,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_148]) ).
tcf(c_209903,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_148]) ).
tcf(c_209904,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_148]) ).
tcf(c_209905,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK2) = sdtpldt0(sK2,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_67,c_148]) ).
tcf(c_209906,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK3) = sdtpldt0(sK3,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_70,c_148]) ).
tcf(c_209907,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_148]) ).
tcf(c_209908,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_148]) ).
tcf(c_209909,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK5(X0),X1) = sdtpldt0(X1,sK5(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_148]) ).
tcf(c_209910,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_148]) ).
tcf(c_209911,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_121,c_148]) ).
tcf(c_209912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK7(X0,X1),X2) = sdtpldt0(X2,sK7(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_148]) ).
tcf(c_209913,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_149,c_148]) ).
tcf(c_209914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK8(X0,X1),X2) = sdtpldt0(X2,sK8(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_148]) ).
tcf(c_209915,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xn),X0) = sdtpldt0(X0,sdtasdt0(xn,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_209473,c_148]) ).
tcf(c_209965,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209411,c_210]) ).
tcf(c_209967,plain,
doDivides0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_209965,c_114,c_51]) ).
tcf(c_209972,plain,
( doDivides0(sK2,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209412,c_210]) ).
tcf(c_209974,plain,
doDivides0(sK2,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_209972,c_67,c_114]) ).
tcf(c_209975,plain,
( doDivides0(sK3,sK3)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209413,c_210]) ).
tcf(c_209977,plain,
doDivides0(sK3,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_209975,c_70,c_114]) ).
tcf(c_209978,plain,
( doDivides0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209414,c_210]) ).
tcf(c_209980,plain,
doDivides0(xq,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_209978,c_73,c_114]) ).
tcf(c_209981,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209416,c_210]) ).
tcf(c_209983,plain,
doDivides0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_209981,c_114]) ).
tcf(c_209984,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209421,c_210]) ).
tcf(c_209986,plain,
doDivides0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_209984,c_114,c_49]) ).
tcf(c_209987,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209422,c_210]) ).
tcf(c_209989,plain,
doDivides0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_209987,c_114,c_50]) ).
tcf(c_210011,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209635,c_86]) ).
tcf(c_210012,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xn))
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_68,c_86]) ).
tcf(c_210013,plain,
( sdtlseqdt0(xp,xn)
| ( sz00 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_71,c_86]) ).
tcf(c_210014,plain,
( sdtlseqdt0(xp,xn)
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_74,c_86]) ).
tcf(c_210038,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209421,c_86]) ).
tcf(c_210039,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209422,c_86]) ).
tcf(c_210040,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209638,c_86]) ).
tcf(c_210041,plain,
sdtlseqdt0(xm,sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_210011,c_53,c_50]) ).
tcf(c_210042,plain,
sdtlseqdt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_210039,c_53,c_114,c_50]) ).
tcf(c_210043,plain,
sdtlseqdt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210038,c_52,c_114,c_49]) ).
tcf(c_210044,plain,
( sdtlseqdt0(xp,xn)
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210014,c_73,c_51]) ).
tcf(c_210047,plain,
( sdtlseqdt0(xp,xn)
| ( sz00 = sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210013,c_70,c_51]) ).
tcf(c_210053,plain,
sdtlseqdt0(xp,sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_210040,c_209639,c_51,c_209473]) ).
tcf(c_210066,plain,
( ( xp = sz10 )
| ( xp = sz00 )
| ( sK5(xp) = sz10 )
| ( sK5(xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK5(xp)) ),
inference(superposition,[status(thm)],[c_102,c_65]) ).
tcf(c_210067,plain,
( ( sK5(xp) = sz10 )
| ( sK5(xp) = xp )
| ~ aNaturalNumber0(sK5(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210066,c_63,c_54,c_51]) ).
tcf(c_210081,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK6(X0),X1) = sdtpldt0(X1,sK6(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_148]) ).
tcf(c_210082,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK6(X0),X1) = sdtasdt0(X1,sK6(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_120]) ).
tcf(c_210083,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X1,sK6(X0)),X1) = sK6(X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_217]) ).
tcf(c_210084,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK6(X0)) = sK6(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_113]) ).
tcf(c_210085,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK6(X0),sz10) = sK6(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_112]) ).
tcf(c_210086,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK6(X0)) = sK6(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_99]) ).
tcf(c_210087,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK6(X0),sz00) = sK6(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_98]) ).
tcf(c_210088,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK6(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_97]) ).
tcf(c_210089,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK6(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_96]) ).
tcf(c_210152,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209423,c_210]) ).
tcf(c_210154,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209423,c_86]) ).
tcf(c_210155,plain,
doDivides0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_210152,c_114,c_51]) ).
tcf(c_210156,plain,
sdtlseqdt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_210154,c_54,c_114,c_51]) ).
tcf(c_210158,plain,
( doDivides0(sz10,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209424,c_210]) ).
tcf(c_210160,plain,
( sdtlseqdt0(sz10,sK2)
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209424,c_86]) ).
tcf(c_210161,plain,
doDivides0(sz10,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_210158,c_67,c_114]) ).
tcf(c_210162,plain,
( sdtlseqdt0(sz10,sK2)
| ( sz00 = sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210160,c_67,c_114]) ).
tcf(c_210165,plain,
( doDivides0(sz10,sK3)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209425,c_210]) ).
tcf(c_210167,plain,
( sdtlseqdt0(sz10,sK3)
| ( sz00 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209425,c_86]) ).
tcf(c_210168,plain,
doDivides0(sz10,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_210165,c_70,c_114]) ).
tcf(c_210169,plain,
( sdtlseqdt0(sz10,sK3)
| ( sz00 = sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210167,c_70,c_114]) ).
tcf(c_210172,plain,
( doDivides0(sz10,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209542,c_210]) ).
tcf(c_210174,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209542,c_86]) ).
tcf(c_210175,plain,
doDivides0(sz10,sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_210172,c_114,c_209473]) ).
tcf(c_210176,plain,
sdtlseqdt0(sz10,sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_210174,c_209639,c_114,c_209473]) ).
tcf(c_210190,plain,
( sdtlseqdt0(xp,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_72,c_85]) ).
tcf(c_210191,plain,
! [X0: $i] :
( sdtlseqdt0(sK5(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0)) ),
inference(superposition,[status(thm)],[c_102,c_85]) ).
tcf(c_210192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_210,c_85]) ).
tcf(c_210213,plain,
sdtlseqdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210190,c_52,c_51,c_49]) ).
tcf(c_210276,plain,
( doDivides0(sz10,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209426,c_210]) ).
tcf(c_210278,plain,
( sdtlseqdt0(sz10,xq)
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209426,c_86]) ).
tcf(c_210279,plain,
doDivides0(sz10,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_210276,c_73,c_114]) ).
tcf(c_210280,plain,
( sdtlseqdt0(sz10,xq)
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210278,c_73,c_114]) ).
tcf(c_210303,plain,
( doDivides0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209543,c_210]) ).
tcf(c_210306,plain,
doDivides0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_210303,c_114,c_209473]) ).
tcf(c_210318,plain,
! [X0: $i] :
( isPrime0(X0)
| sdtlseqdt0(sK6(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(X0)) ),
inference(superposition,[status(thm)],[c_107,c_85]) ).
tcf(c_210335,plain,
( iLess0(xn,xm)
| ( xn = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209625,c_116]) ).
tcf(c_210336,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_116]) ).
tcf(c_210337,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_116]) ).
tcf(c_210338,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_116]) ).
tcf(c_210340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,X0)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_116]) ).
tcf(c_210341,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtpldt0(X0,X1))
| ( sdtpldt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_207,c_116]) ).
tcf(c_210343,plain,
( iLess0(sz00,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209562,c_116]) ).
tcf(c_210351,plain,
( iLess0(sz00,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209565,c_116]) ).
tcf(c_210352,plain,
( iLess0(sz00,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209568,c_116]) ).
tcf(c_210353,plain,
( iLess0(sz00,sK2)
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209629,c_116]) ).
tcf(c_210354,plain,
( iLess0(sz10,xn)
| ( xn = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_210043,c_116]) ).
tcf(c_210355,plain,
( iLess0(sz10,xm)
| ( xm = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_210042,c_116]) ).
tcf(c_210356,plain,
( iLess0(sz10,xp)
| ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_210156,c_116]) ).
tcf(c_210357,plain,
( iLess0(sz00,sK3)
| ( sz00 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209632,c_116]) ).
tcf(c_210358,plain,
( iLess0(sz00,xq)
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209706,c_116]) ).
tcf(c_210359,plain,
( iLess0(sz00,sz10)
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209717,c_116]) ).
tcf(c_210360,plain,
( iLess0(xp,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210053,c_116]) ).
tcf(c_210361,plain,
( iLess0(xp,xn)
| ( xn = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_210213,c_116]) ).
tcf(c_210362,plain,
( iLess0(sz10,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210176,c_116]) ).
tcf(c_210364,plain,
( iLess0(sz10,sK2)
| ( sz10 = sK2 )
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210162,c_116]) ).
tcf(c_210365,plain,
( iLess0(sz10,sK3)
| ( sz10 = sK3 )
| ( sz00 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210169,c_116]) ).
tcf(c_210366,plain,
( iLess0(sz10,xq)
| ( sz10 = xq )
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210280,c_116]) ).
tcf(c_210367,plain,
( iLess0(xm,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210041,c_116]) ).
tcf(c_210368,plain,
( iLess0(xp,xn)
| ( xn = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210361,c_51,c_49]) ).
tcf(c_210371,plain,
iLess0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_210359,c_115,c_114,c_100]) ).
tcf(c_210372,plain,
( iLess0(sz00,xq)
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210358,c_73,c_100]) ).
tcf(c_210375,plain,
( iLess0(sz00,sK3)
| ( sz00 = sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210357,c_70,c_100]) ).
tcf(c_210378,plain,
iLess0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_210356,c_63,c_114,c_51]) ).
tcf(c_210379,plain,
( iLess0(sz10,xm)
| ( xm = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210355,c_114,c_50]) ).
tcf(c_210382,plain,
( iLess0(sz10,xn)
| ( xn = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210354,c_114,c_49]) ).
tcf(c_210385,plain,
( iLess0(sz00,sK2)
| ( sz00 = sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210353,c_67,c_100]) ).
tcf(c_210388,plain,
iLess0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_210352,c_54,c_100,c_51]) ).
tcf(c_210389,plain,
iLess0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_210351,c_53,c_100,c_50]) ).
tcf(c_210390,plain,
iLess0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210343,c_52,c_100,c_49]) ).
tcf(c_210391,plain,
( iLess0(xn,xm)
| ( xn = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210335,c_50,c_49]) ).
tcf(c_210404,plain,
( iLess0(sz10,xq)
| ( sz10 = xq )
| ( sz00 = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210366,c_73,c_114]) ).
tcf(c_210408,plain,
( iLess0(sz10,sK3)
| ( sz10 = sK3 )
| ( sz00 = sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210365,c_70,c_114]) ).
tcf(c_210412,plain,
( iLess0(sz10,sK2)
| ( sz10 = sK2 )
| ( sz00 = sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210364,c_67,c_114]) ).
tcf(c_210416,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210338,c_114]) ).
tcf(c_210421,plain,
( iLess0(xm,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210367,c_50,c_209473]) ).
tcf(c_210424,plain,
( iLess0(sz10,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210362,c_114,c_209473]) ).
tcf(c_210427,plain,
( iLess0(xp,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210360,c_51,c_209473]) ).
tcf(c_210465,plain,
( ( sdtasdt0(xp,sK7(xp,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_69,c_127]) ).
tcf(c_210466,plain,
( ( sdtasdt0(xp,sK7(xp,xn)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_72,c_127]) ).
tcf(c_210467,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK5(X0),sK7(sK5(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0)) ),
inference(superposition,[status(thm)],[c_102,c_127]) ).
tcf(c_210468,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK6(X0),sK7(sK6(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(X0)) ),
inference(superposition,[status(thm)],[c_107,c_127]) ).
tcf(c_210469,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK7(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_210,c_127]) ).
tcf(c_210470,plain,
( ( sdtasdt0(sz00,sK7(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209597,c_127]) ).
tcf(c_210471,plain,
( ( sdtasdt0(xp,sK7(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209601,c_127]) ).
tcf(c_210472,plain,
( ( sdtasdt0(sz10,sK7(sz10,sz00)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209604,c_127]) ).
tcf(c_210473,plain,
( ( sdtasdt0(xn,sK7(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209603,c_127]) ).
tcf(c_210474,plain,
( ( sdtasdt0(xm,sK7(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209602,c_127]) ).
tcf(c_210475,plain,
( ( sdtasdt0(sK2,sK7(sK2,sz00)) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209600,c_127]) ).
tcf(c_210476,plain,
( ( sdtasdt0(sK3,sK7(sK3,sz00)) = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209599,c_127]) ).
tcf(c_210477,plain,
( ( sdtasdt0(xq,sK7(xq,sz00)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209598,c_127]) ).
tcf(c_210478,plain,
( ( sdtasdt0(xn,sK7(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209720,c_127]) ).
tcf(c_210479,plain,
( ( sdtasdt0(xm,sK7(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209723,c_127]) ).
tcf(c_210480,plain,
( ( sdtasdt0(sz10,sK7(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209986,c_127]) ).
tcf(c_210481,plain,
( ( sdtasdt0(sz10,sK7(sz10,xm)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209989,c_127]) ).
tcf(c_210482,plain,
( ( sdtasdt0(sz10,sK7(sz10,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210175,c_127]) ).
tcf(c_210483,plain,
( ( sdtasdt0(xp,sK7(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209967,c_127]) ).
tcf(c_210484,plain,
( ( sdtasdt0(sK2,sK7(sK2,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[status(thm)],[c_209974,c_127]) ).
tcf(c_210485,plain,
( ( sdtasdt0(sK3,sK7(sK3,sK3)) = sK3 )
| ~ aNaturalNumber0(sK3) ),
inference(superposition,[status(thm)],[c_209977,c_127]) ).
tcf(c_210486,plain,
( ( sdtasdt0(xq,sK7(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_209980,c_127]) ).
tcf(c_210487,plain,
( ( sdtasdt0(sz10,sK7(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209983,c_127]) ).
tcf(c_210488,plain,
( ( sdtasdt0(sz10,sK7(sz10,xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_210155,c_127]) ).
tcf(c_210489,plain,
( ( sdtasdt0(sz10,sK7(sz10,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210161,c_127]) ).
tcf(c_210490,plain,
( ( sdtasdt0(sz10,sK7(sz10,sK3)) = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210168,c_127]) ).
tcf(c_210491,plain,
( ( sdtasdt0(sz10,sK7(sz10,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210279,c_127]) ).
tcf(c_210492,plain,
( ( sdtasdt0(xm,sK7(xm,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209642,c_127]) ).
tcf(c_210493,plain,
sdtasdt0(sz10,sK7(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_210487,c_114]) ).
tcf(c_210494,plain,
sdtasdt0(xq,sK7(xq,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_210486,c_73]) ).
tcf(c_210495,plain,
sdtasdt0(sK3,sK7(sK3,sK3)) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_210485,c_70]) ).
tcf(c_210496,plain,
sdtasdt0(sK2,sK7(sK2,sK2)) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_210484,c_67]) ).
tcf(c_210497,plain,
sdtasdt0(xp,sK7(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_210483,c_51]) ).
tcf(c_210498,plain,
sdtasdt0(xm,sK7(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_210479,c_50]) ).
tcf(c_210499,plain,
sdtasdt0(xn,sK7(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_210478,c_49]) ).
tcf(c_210500,plain,
sdtasdt0(sz00,sK7(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210470,c_100]) ).
tcf(c_210501,plain,
sdtasdt0(sz10,sK7(sz10,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_210491,c_73,c_114]) ).
tcf(c_210502,plain,
sdtasdt0(sz10,sK7(sz10,sK3)) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_210490,c_70,c_114]) ).
tcf(c_210503,plain,
sdtasdt0(sz10,sK7(sz10,sK2)) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_210489,c_67,c_114]) ).
tcf(c_210504,plain,
sdtasdt0(sz10,sK7(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_210488,c_114,c_51]) ).
tcf(c_210505,plain,
sdtasdt0(sz10,sK7(sz10,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_210481,c_114,c_50]) ).
tcf(c_210506,plain,
sdtasdt0(sz10,sK7(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_210480,c_114,c_49]) ).
tcf(c_210507,plain,
sdtasdt0(xq,sK7(xq,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210477,c_73,c_100]) ).
tcf(c_210508,plain,
sdtasdt0(sK3,sK7(sK3,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210476,c_70,c_100]) ).
tcf(c_210509,plain,
sdtasdt0(sK2,sK7(sK2,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210475,c_67,c_100]) ).
tcf(c_210510,plain,
sdtasdt0(xm,sK7(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210474,c_100,c_50]) ).
tcf(c_210511,plain,
sdtasdt0(xn,sK7(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210473,c_100,c_49]) ).
tcf(c_210512,plain,
sdtasdt0(sz10,sK7(sz10,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210472,c_114,c_100]) ).
tcf(c_210513,plain,
sdtasdt0(xp,sK7(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210471,c_100,c_51]) ).
tcf(c_210514,plain,
sdtasdt0(xp,sK7(xp,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_210466,c_51,c_49]) ).
tcf(c_210515,plain,
sdtasdt0(xm,sK7(xm,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210492,c_50,c_209473]) ).
tcf(c_210516,plain,
sdtasdt0(sz10,sK7(sz10,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210482,c_114,c_209473]) ).
tcf(c_210517,plain,
sdtasdt0(xp,sK7(xp,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210465,c_51,c_209473]) ).
tcf(c_210568,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_131,c_148]) ).
tcf(c_210569,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_131,c_120]) ).
tcf(c_210570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),X2) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_217]) ).
tcf(c_210571,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz10,sdtsldt0(X1,X0)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_113]) ).
tcf(c_210572,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz10) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_112]) ).
tcf(c_210573,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_131,c_99]) ).
tcf(c_210574,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_131,c_98]) ).
tcf(c_210575,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_131,c_97]) ).
tcf(c_210576,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_131,c_96]) ).
tcf(c_210654,plain,
( ( sdtasdt0(sdtasdt0(xn,xn),sK7(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210306,c_127]) ).
tcf(c_210656,plain,
sdtasdt0(sdtasdt0(xn,xn),sK7(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210654,c_209473]) ).
tcf(c_210664,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209544,c_207]) ).
tcf(c_210665,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_210664,c_100,c_209473]) ).
tcf(c_210676,plain,
( ( xn = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_209625,c_140]) ).
tcf(c_210678,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_86,c_140]) ).
tcf(c_210679,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_111,c_140]) ).
tcf(c_210682,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_207,c_140]) ).
tcf(c_210684,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_209562,c_140]) ).
tcf(c_210692,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_209565,c_140]) ).
tcf(c_210693,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_209568,c_140]) ).
tcf(c_210694,plain,
( ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK2,sz00) ),
inference(superposition,[status(thm)],[c_209629,c_140]) ).
tcf(c_210695,plain,
( ( xn = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz10) ),
inference(superposition,[status(thm)],[c_210043,c_140]) ).
tcf(c_210696,plain,
( ( xm = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz10) ),
inference(superposition,[status(thm)],[c_210042,c_140]) ).
tcf(c_210697,plain,
( ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz10) ),
inference(superposition,[status(thm)],[c_210156,c_140]) ).
tcf(c_210698,plain,
( ( sz00 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK3,sz00) ),
inference(superposition,[status(thm)],[c_209632,c_140]) ).
tcf(c_210699,plain,
( ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xq,sz00) ),
inference(superposition,[status(thm)],[c_209706,c_140]) ).
tcf(c_210700,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,sz00) ),
inference(superposition,[status(thm)],[c_209717,c_140]) ).
tcf(c_210701,plain,
( ( sdtasdt0(xn,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xp) ),
inference(superposition,[status(thm)],[c_210053,c_140]) ).
tcf(c_210702,plain,
( ( xn = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xp) ),
inference(superposition,[status(thm)],[c_210213,c_140]) ).
tcf(c_210703,plain,
( ( sdtasdt0(xn,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),sz10) ),
inference(superposition,[status(thm)],[c_210176,c_140]) ).
tcf(c_210705,plain,
( ( sz10 = sK2 )
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK2,sz10) ),
inference(superposition,[status(thm)],[c_210162,c_140]) ).
tcf(c_210706,plain,
( ( sz10 = sK3 )
| ( sz00 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK3,sz10) ),
inference(superposition,[status(thm)],[c_210169,c_140]) ).
tcf(c_210707,plain,
( ( sz10 = xq )
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xq,sz10) ),
inference(superposition,[status(thm)],[c_210280,c_140]) ).
tcf(c_210708,plain,
( ( sdtasdt0(xn,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xm) ),
inference(superposition,[status(thm)],[c_210041,c_140]) ).
tcf(c_210709,plain,
( ( xn = xp )
| ~ sdtlseqdt0(xn,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210702,c_51,c_49]) ).
tcf(c_210712,plain,
~ sdtlseqdt0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_210700,c_115,c_114,c_100]) ).
tcf(c_210713,plain,
( ( sz00 = xq )
| ~ sdtlseqdt0(xq,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210699,c_73,c_100]) ).
tcf(c_210716,plain,
( ( sz00 = sK3 )
| ~ sdtlseqdt0(sK3,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210698,c_70,c_100]) ).
tcf(c_210719,plain,
~ sdtlseqdt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_210697,c_63,c_114,c_51]) ).
tcf(c_210720,plain,
( ( xm = sz10 )
| ~ sdtlseqdt0(xm,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210696,c_114,c_50]) ).
tcf(c_210723,plain,
( ( xn = sz10 )
| ~ sdtlseqdt0(xn,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210695,c_114,c_49]) ).
tcf(c_210726,plain,
( ( sz00 = sK2 )
| ~ sdtlseqdt0(sK2,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210694,c_67,c_100]) ).
tcf(c_210729,plain,
~ sdtlseqdt0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_210693,c_54,c_100,c_51]) ).
tcf(c_210730,plain,
~ sdtlseqdt0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_210692,c_53,c_100,c_50]) ).
tcf(c_210731,plain,
~ sdtlseqdt0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_210684,c_52,c_100,c_49]) ).
tcf(c_210733,plain,
( ( sz10 = xq )
| ( sz00 = xq )
| ~ sdtlseqdt0(xq,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210707,c_73,c_114]) ).
tcf(c_210737,plain,
( ( sz10 = sK3 )
| ( sz00 = sK3 )
| ~ sdtlseqdt0(sK3,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210706,c_70,c_114]) ).
tcf(c_210741,plain,
( ( sz10 = sK2 )
| ( sz00 = sK2 )
| ~ sdtlseqdt0(sK2,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210705,c_67,c_114]) ).
tcf(c_210745,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210679,c_114]) ).
tcf(c_210750,plain,
( ( sdtasdt0(xn,xn) = xm )
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210708,c_50,c_209473]) ).
tcf(c_210753,plain,
( ( sdtasdt0(xn,xn) = sz10 )
| ~ sdtlseqdt0(sdtasdt0(xn,xn),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210703,c_114,c_209473]) ).
tcf(c_210756,plain,
( ( sdtasdt0(xn,xn) = xp )
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210701,c_51,c_209473]) ).
tcf(c_210797,plain,
( ( sdtpldt0(xn,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209625,c_144]) ).
tcf(c_210798,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK8(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_144]) ).
tcf(c_210799,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK8(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_144]) ).
tcf(c_210800,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_144]) ).
tcf(c_210801,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK8(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_141,c_144]) ).
tcf(c_210802,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK8(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_144]) ).
tcf(c_210803,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK8(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_207,c_144]) ).
tcf(c_210804,plain,
( ( sdtpldt0(sz00,sK8(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209556,c_144]) ).
tcf(c_210805,plain,
( ( sdtpldt0(sz00,sK8(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209562,c_144]) ).
tcf(c_210806,plain,
( ( sdtpldt0(xn,sK8(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209430,c_144]) ).
tcf(c_210807,plain,
( ( sdtpldt0(xm,sK8(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209433,c_144]) ).
tcf(c_210808,plain,
( ( sdtpldt0(xp,sK8(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209435,c_144]) ).
tcf(c_210809,plain,
( ( sdtpldt0(sK2,sK8(sK2,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[status(thm)],[c_209437,c_144]) ).
tcf(c_210810,plain,
( ( sdtpldt0(sK3,sK8(sK3,sK3)) = sK3 )
| ~ aNaturalNumber0(sK3) ),
inference(superposition,[status(thm)],[c_209439,c_144]) ).
tcf(c_210811,plain,
( ( sdtpldt0(xq,sK8(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_209553,c_144]) ).
tcf(c_210812,plain,
( ( sdtpldt0(sz10,sK8(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209559,c_144]) ).
tcf(c_210813,plain,
( ( sdtpldt0(sz00,sK8(sz00,xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209565,c_144]) ).
tcf(c_210814,plain,
( ( sdtpldt0(sz00,sK8(sz00,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209568,c_144]) ).
tcf(c_210815,plain,
( ( sdtpldt0(sz00,sK8(sz00,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209629,c_144]) ).
tcf(c_210816,plain,
( ( sdtpldt0(sz10,sK8(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_210043,c_144]) ).
tcf(c_210817,plain,
( ( sdtpldt0(sz10,sK8(sz10,xm)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_210042,c_144]) ).
tcf(c_210818,plain,
( ( sdtpldt0(sz10,sK8(sz10,xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_210156,c_144]) ).
tcf(c_210819,plain,
( ( sdtpldt0(sz00,sK8(sz00,sK3)) = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209632,c_144]) ).
tcf(c_210820,plain,
( ( sdtpldt0(sz00,sK8(sz00,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209706,c_144]) ).
tcf(c_210821,plain,
( ( sdtpldt0(sz00,sK8(sz00,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209717,c_144]) ).
tcf(c_210822,plain,
( ( sdtpldt0(xp,sK8(xp,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210053,c_144]) ).
tcf(c_210823,plain,
( ( sdtpldt0(xp,sK8(xp,xn)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_210213,c_144]) ).
tcf(c_210824,plain,
( ( sdtpldt0(sz10,sK8(sz10,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210176,c_144]) ).
tcf(c_210825,plain,
( ( sdtpldt0(sdtasdt0(xn,xn),sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209636,c_144]) ).
tcf(c_210826,plain,
( ( sz00 = sK2 )
| ( sdtpldt0(sz10,sK8(sz10,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210162,c_144]) ).
tcf(c_210827,plain,
( ( sz00 = sK3 )
| ( sdtpldt0(sz10,sK8(sz10,sK3)) = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210169,c_144]) ).
tcf(c_210828,plain,
( ( sz00 = xq )
| ( sdtpldt0(sz10,sK8(sz10,xq)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210280,c_144]) ).
tcf(c_210829,plain,
( ( sdtpldt0(xm,sK8(xm,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210041,c_144]) ).
tcf(c_210830,plain,
sdtpldt0(sz10,sK8(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_210812,c_114]) ).
tcf(c_210831,plain,
sdtpldt0(xq,sK8(xq,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_210811,c_73]) ).
tcf(c_210832,plain,
sdtpldt0(sK3,sK8(sK3,sK3)) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_210810,c_70]) ).
tcf(c_210833,plain,
sdtpldt0(sK2,sK8(sK2,sK2)) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_210809,c_67]) ).
tcf(c_210834,plain,
sdtpldt0(xp,sK8(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_210808,c_51]) ).
tcf(c_210835,plain,
sdtpldt0(xm,sK8(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_210807,c_50]) ).
tcf(c_210836,plain,
sdtpldt0(xn,sK8(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_210806,c_49]) ).
tcf(c_210837,plain,
sdtpldt0(sz00,sK8(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_210804,c_100]) ).
tcf(c_210840,plain,
sdtpldt0(xp,sK8(xp,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_210823,c_51,c_49]) ).
tcf(c_210841,plain,
sdtpldt0(sz00,sK8(sz00,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_210821,c_114,c_100]) ).
tcf(c_210842,plain,
sdtpldt0(sz00,sK8(sz00,xq)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_210820,c_73,c_100]) ).
tcf(c_210843,plain,
sdtpldt0(sz00,sK8(sz00,sK3)) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_210819,c_70,c_100]) ).
tcf(c_210844,plain,
sdtpldt0(sz10,sK8(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_210818,c_114,c_51]) ).
tcf(c_210845,plain,
sdtpldt0(sz10,sK8(sz10,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_210817,c_114,c_50]) ).
tcf(c_210846,plain,
sdtpldt0(sz10,sK8(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_210816,c_114,c_49]) ).
tcf(c_210847,plain,
sdtpldt0(sz00,sK8(sz00,sK2)) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_210815,c_67,c_100]) ).
tcf(c_210848,plain,
sdtpldt0(sz00,sK8(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_210814,c_100,c_51]) ).
tcf(c_210849,plain,
sdtpldt0(sz00,sK8(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_210813,c_100,c_50]) ).
tcf(c_210850,plain,
sdtpldt0(sz00,sK8(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_210805,c_100,c_49]) ).
tcf(c_210851,plain,
sdtpldt0(xn,sK8(xn,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_210797,c_50,c_49]) ).
tcf(c_210860,plain,
( ( sz00 = xq )
| ( sdtpldt0(sz10,sK8(sz10,xq)) = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210828,c_73,c_114]) ).
tcf(c_210863,plain,
( ( sz00 = sK3 )
| ( sdtpldt0(sz10,sK8(sz10,sK3)) = sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210827,c_70,c_114]) ).
tcf(c_210866,plain,
( ( sz00 = sK2 )
| ( sdtpldt0(sz10,sK8(sz10,sK2)) = sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210826,c_67,c_114]) ).
tcf(c_210869,plain,
sdtpldt0(xm,sK8(xm,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210829,c_50,c_209473]) ).
tcf(c_210870,plain,
sdtpldt0(sz10,sK8(sz10,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210824,c_114,c_209473]) ).
tcf(c_210871,plain,
sdtpldt0(xp,sK8(xp,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210822,c_51,c_209473]) ).
tcf(c_210872,plain,
sdtpldt0(sdtasdt0(xn,xn),sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_210825,c_209473]) ).
tcf(c_210873,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210800,c_114]) ).
tcf(c_210959,plain,
( ( xn = xm )
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(xn,xn) != xn ) ),
inference(superposition,[status(thm)],[c_210869,c_83]) ).
tcf(c_210999,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_69,c_124]) ).
tcf(c_211000,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_72,c_124]) ).
tcf(c_211001,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X1))
| ~ doDivides0(X0,sK5(X1)) ),
inference(superposition,[status(thm)],[c_102,c_124]) ).
tcf(c_211002,plain,
! [X0: $i,X1: $i] :
( isPrime0(X1)
| doDivides0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(X1))
| ~ doDivides0(X0,sK6(X1)) ),
inference(superposition,[status(thm)],[c_107,c_124]) ).
tcf(c_211003,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_210,c_124]) ).
tcf(c_211005,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_209601,c_124]) ).
tcf(c_211006,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209604,c_124]) ).
tcf(c_211007,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_209603,c_124]) ).
tcf(c_211008,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_209602,c_124]) ).
tcf(c_211009,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2) ),
inference(superposition,[status(thm)],[c_209600,c_124]) ).
tcf(c_211010,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK3) ),
inference(superposition,[status(thm)],[c_209599,c_124]) ).
tcf(c_211011,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(superposition,[status(thm)],[c_209598,c_124]) ).
tcf(c_211014,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209986,c_124]) ).
tcf(c_211015,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209989,c_124]) ).
tcf(c_211016,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210175,c_124]) ).
tcf(c_211023,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210155,c_124]) ).
tcf(c_211024,plain,
! [X0: $i] :
( doDivides0(X0,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210161,c_124]) ).
tcf(c_211025,plain,
! [X0: $i] :
( doDivides0(X0,sK3)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210168,c_124]) ).
tcf(c_211026,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210279,c_124]) ).
tcf(c_211027,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209642,c_124]) ).
tcf(c_211028,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211026,c_73,c_114]) ).
tcf(c_211032,plain,
! [X0: $i] :
( doDivides0(X0,sK3)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211025,c_70,c_114]) ).
tcf(c_211036,plain,
! [X0: $i] :
( doDivides0(X0,sK2)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211024,c_67,c_114]) ).
tcf(c_211040,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211023,c_114,c_51]) ).
tcf(c_211044,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211015,c_114,c_50]) ).
tcf(c_211048,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211014,c_114,c_49]) ).
tcf(c_211052,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211011,c_73,c_100]) ).
tcf(c_211056,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211010,c_70,c_100]) ).
tcf(c_211060,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211009,c_67,c_100]) ).
tcf(c_211064,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211008,c_100,c_50]) ).
tcf(c_211068,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211007,c_100,c_49]) ).
tcf(c_211072,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211006,c_114,c_100]) ).
tcf(c_211076,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211005,c_100,c_51]) ).
tcf(c_211080,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211000,c_51,c_49]) ).
tcf(c_211084,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211027,c_50,c_209473]) ).
tcf(c_211088,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211016,c_114,c_209473]) ).
tcf(c_211092,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_210999,c_51,c_209473]) ).
tcf(c_211142,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_209625,c_139]) ).
tcf(c_211144,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_139]) ).
tcf(c_211145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_111,c_139]) ).
tcf(c_211147,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_138,c_139]) ).
tcf(c_211148,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_207,c_139]) ).
tcf(c_211150,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209562,c_139]) ).
tcf(c_211158,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209565,c_139]) ).
tcf(c_211159,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209568,c_139]) ).
tcf(c_211160,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209629,c_139]) ).
tcf(c_211161,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210043,c_139]) ).
tcf(c_211162,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210042,c_139]) ).
tcf(c_211163,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210156,c_139]) ).
tcf(c_211164,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209632,c_139]) ).
tcf(c_211165,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209706,c_139]) ).
tcf(c_211166,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209717,c_139]) ).
tcf(c_211167,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210053,c_139]) ).
tcf(c_211168,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_210213,c_139]) ).
tcf(c_211169,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210176,c_139]) ).
tcf(c_211171,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ( sz00 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210162,c_139]) ).
tcf(c_211172,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3)
| ( sz00 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210169,c_139]) ).
tcf(c_211173,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sz00 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_210280,c_139]) ).
tcf(c_211174,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210041,c_139]) ).
tcf(c_211175,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211168,c_51,c_49]) ).
tcf(c_211179,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211166,c_114,c_100]) ).
tcf(c_211183,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211165,c_73,c_100]) ).
tcf(c_211187,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211164,c_70,c_100]) ).
tcf(c_211191,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211163,c_114,c_51]) ).
tcf(c_211195,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211162,c_114,c_50]) ).
tcf(c_211199,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211161,c_114,c_49]) ).
tcf(c_211203,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211160,c_67,c_100]) ).
tcf(c_211207,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211159,c_100,c_51]) ).
tcf(c_211211,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211158,c_100,c_50]) ).
tcf(c_211215,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211150,c_100,c_49]) ).
tcf(c_211219,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211142,c_50,c_49]) ).
tcf(c_211229,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211174,c_50,c_209473]) ).
tcf(c_211233,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xq)
| ( sz00 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211173,c_73,c_114]) ).
tcf(c_211238,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK3)
| ( sz00 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211172,c_70,c_114]) ).
tcf(c_211243,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK2)
| ( sz00 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211171,c_67,c_114]) ).
tcf(c_211248,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211169,c_114,c_209473]) ).
tcf(c_211252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211167,c_51,c_209473]) ).
tcf(c_211262,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211145,c_114]) ).
tcf(c_211352,plain,
( ( xm = sz10 )
| ( xm = xp )
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xn,xn) != xp ) ),
inference(superposition,[status(thm)],[c_209635,c_64]) ).
tcf(c_211389,plain,
( ( xm = sz10 )
| ( xm = xp )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(xn,xn) != xp ) ),
inference(superposition,[status(thm)],[c_210515,c_64]) ).
tcf(c_211390,plain,
( ( xm = sz10 )
| ( xm = xp )
| ( sdtasdt0(xn,xn) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211352,c_50]) ).
tcf(c_211394,plain,
( ( xm = sz10 )
| ( xm = xp )
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(xn,xn) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211389,c_50]) ).
tcf(c_211401,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210665,c_139]) ).
tcf(c_211402,plain,
( ( sdtpldt0(sz00,sK8(sz00,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210665,c_144]) ).
tcf(c_211403,plain,
( ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),sz00) ),
inference(superposition,[status(thm)],[c_210665,c_140]) ).
tcf(c_211404,plain,
( iLess0(sz00,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210665,c_116]) ).
tcf(c_211405,plain,
iLess0(sz00,sdtasdt0(xn,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_211404,c_209639,c_100,c_209473]) ).
tcf(c_211406,plain,
~ sdtlseqdt0(sdtasdt0(xn,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_211403,c_209639,c_100,c_209473]) ).
tcf(c_211407,plain,
sdtpldt0(sz00,sK8(sz00,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_211402,c_100,c_209473]) ).
tcf(c_211408,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211401,c_100,c_209473]) ).
tcf(c_211427,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_211219]) ).
tcf(c_211431,plain,
( sdtlseqdt0(xp,xm)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_210213,c_211219]) ).
tcf(c_211432,plain,
sdtlseqdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_211431,c_51]) ).
tcf(c_211433,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211427,c_49]) ).
tcf(c_211437,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_211432,c_139]) ).
tcf(c_211438,plain,
( ( sdtpldt0(xp,sK8(xp,xm)) = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_211432,c_144]) ).
tcf(c_211439,plain,
( ( xm = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xp) ),
inference(superposition,[status(thm)],[c_211432,c_140]) ).
tcf(c_211440,plain,
( iLess0(xp,xm)
| ( xm = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_211432,c_116]) ).
tcf(c_211441,plain,
( iLess0(xp,xm)
| ( xm = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211440,c_51,c_50]) ).
tcf(c_211444,plain,
( ( xm = xp )
| ~ sdtlseqdt0(xm,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211439,c_51,c_50]) ).
tcf(c_211447,plain,
sdtpldt0(xp,sK8(xp,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_211438,c_51,c_50]) ).
tcf(c_211448,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211437,c_51,c_50]) ).
tcf(c_211516,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_211433,c_139]) ).
tcf(c_211517,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_211433,c_144]) ).
tcf(c_211518,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_211433,c_140]) ).
tcf(c_211519,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| iLess0(xn,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_211433,c_116]) ).
tcf(c_211522,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_211433,c_139]) ).
tcf(c_211523,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_211433,c_144]) ).
tcf(c_211524,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_211433,c_140]) ).
tcf(c_211525,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_211433,c_116]) ).
tcf(c_211526,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = xm )
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_211433,c_210750]) ).
tcf(c_211527,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211526,c_209473]) ).
tcf(c_211530,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211525,c_50]) ).
tcf(c_211535,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| iLess0(xn,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211519,c_49]) ).
tcf(c_211540,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211524,c_50]) ).
tcf(c_211545,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211523,c_50]) ).
tcf(c_211549,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211518,c_49]) ).
tcf(c_211554,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211517,c_49]) ).
tcf(c_211558,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211522,c_50]) ).
tcf(c_211564,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211516,c_49]) ).
tcf(c_211599,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_211448]) ).
tcf(c_211604,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211599,c_51]) ).
tcf(c_211609,plain,
( doDivides0(sdtasdt0(xn,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209547,c_210]) ).
tcf(c_211612,plain,
doDivides0(sdtasdt0(xn,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_211609,c_100,c_209473]) ).
tcf(c_211674,plain,
( ( xp = sz10 )
| ( sdtasdt0(xn,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_69,c_110]) ).
tcf(c_211675,plain,
( ( xp = sz10 )
| ( xn = xp )
| ~ isPrime0(xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_72,c_110]) ).
tcf(c_211676,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK5(X0) = sz10 )
| ( sK5(X0) = X0 )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0)) ),
inference(superposition,[status(thm)],[c_102,c_110]) ).
tcf(c_211678,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ isPrime0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_210,c_110]) ).
tcf(c_211702,plain,
( ( xm = sz10 )
| ( sdtasdt0(xn,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ isPrime0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209642,c_110]) ).
tcf(c_211703,plain,
( ( xn = xp )
| ~ isPrime0(xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211675,c_63,c_51,c_49]) ).
tcf(c_211706,plain,
( ( xm = sz10 )
| ( sdtasdt0(xn,xn) = xm )
| ~ isPrime0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211702,c_50,c_209473]) ).
tcf(c_211710,plain,
( ( sdtasdt0(xn,xn) = xp )
| ~ isPrime0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211674,c_63,c_51,c_209473]) ).
tcf(c_211734,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,X1),X0) = sdtasdt0(xn,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_119]) ).
tcf(c_211735,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X1),X0) = sdtasdt0(xm,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_119]) ).
tcf(c_211736,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xp,X1),X0) = sdtasdt0(xp,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_119]) ).
tcf(c_211737,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK2,X1),X0) = sdtasdt0(sK2,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_67,c_119]) ).
tcf(c_211738,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK3,X1),X0) = sdtasdt0(sK3,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_70,c_119]) ).
tcf(c_211739,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xq,X1),X0) = sdtasdt0(xq,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_119]) ).
tcf(c_211740,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X1),X0) = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_119]) ).
tcf(c_211741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK5(X0),X2),X1) = sdtasdt0(sK5(X0),sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_119]) ).
tcf(c_211742,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK6(X0),X2),X1) = sdtasdt0(sK6(X0),sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_119]) ).
tcf(c_211743,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz10,X1),X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_119]) ).
tcf(c_211744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X3),X2) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_119]) ).
tcf(c_211745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK7(X0,X1),X3),X2) = sdtasdt0(sK7(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_119]) ).
tcf(c_211746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X3),X2) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_119]) ).
tcf(c_211747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X3),X2) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_119]) ).
tcf(c_211748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK8(X0,X1),X3),X2) = sdtasdt0(sK8(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_119]) ).
tcf(c_211749,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xn),X1),X0) = sdtasdt0(sdtasdt0(xn,xn),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_209473,c_119]) ).
tcf(c_211846,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X1),X0) = sdtpldt0(xn,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_147]) ).
tcf(c_211847,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X1),X0) = sdtpldt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_147]) ).
tcf(c_211848,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X1),X0) = sdtpldt0(xp,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_147]) ).
tcf(c_211849,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK2,X1),X0) = sdtpldt0(sK2,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_67,c_147]) ).
tcf(c_211850,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK3,X1),X0) = sdtpldt0(sK3,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_70,c_147]) ).
tcf(c_211851,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xq,X1),X0) = sdtpldt0(xq,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_147]) ).
tcf(c_211852,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X1),X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_147]) ).
tcf(c_211853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK5(X0),X2),X1) = sdtpldt0(sK5(X0),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_147]) ).
tcf(c_211854,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK6(X0),X2),X1) = sdtpldt0(sK6(X0),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_147]) ).
tcf(c_211855,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz10,X1),X0) = sdtpldt0(sz10,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_147]) ).
tcf(c_211856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X3),X2) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_147]) ).
tcf(c_211857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK7(X0,X1),X3),X2) = sdtpldt0(sK7(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_147]) ).
tcf(c_211858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X3),X2) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_147]) ).
tcf(c_211859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X3),X2) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_147]) ).
tcf(c_211860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK8(X0,X1),X3),X2) = sdtpldt0(sK8(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_147]) ).
tcf(c_211861,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xn),X1),X0) = sdtpldt0(sdtasdt0(xn,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_209473,c_147]) ).
tcf(c_211943,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_211612,c_124]) ).
tcf(c_211945,plain,
( ( sdtasdt0(sdtasdt0(xn,xn),sK7(sdtasdt0(xn,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_211612,c_127]) ).
tcf(c_211947,plain,
sdtasdt0(sdtasdt0(xn,xn),sK7(sdtasdt0(xn,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_211945,c_100,c_209473]) ).
tcf(c_211948,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_211943,c_100,c_209473]) ).
tcf(c_212016,plain,
sdtlseqdt0(xn,sdtasdt0(xn,xn)),
inference(global_subsumption_just,[status(thm)],[c_211527,c_49,c_52,c_25728]) ).
tcf(c_212018,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_212016,c_139]) ).
tcf(c_212019,plain,
( ( sdtpldt0(xn,sK8(xn,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_212016,c_144]) ).
tcf(c_212020,plain,
( ( sdtasdt0(xn,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xn) ),
inference(superposition,[status(thm)],[c_212016,c_140]) ).
tcf(c_212021,plain,
( iLess0(xn,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_212016,c_116]) ).
tcf(c_212022,plain,
( iLess0(xn,sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212021,c_49,c_209473]) ).
tcf(c_212025,plain,
( ( sdtasdt0(xn,xn) = xn )
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212020,c_49,c_209473]) ).
tcf(c_212028,plain,
sdtpldt0(xn,sK8(xn,sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_212019,c_49,c_209473]) ).
tcf(c_212029,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212018,c_49,c_209473]) ).
tcf(c_212058,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_86,c_211540]) ).
tcf(c_212060,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_211540]) ).
tcf(c_212061,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xm,X0))
| ( sdtpldt0(xm,X0) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_207,c_211540]) ).
tcf(c_212065,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212060,c_50]) ).
tcf(c_212070,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xm,X0))
| ( sdtpldt0(xm,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212061,c_50]) ).
tcf(c_212075,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,X0) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212058,c_50]) ).
tcf(c_212087,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK8(X1,xm)) = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_211545,c_139]) ).
tcf(c_212088,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_211545,c_144]) ).
tcf(c_212089,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_211545,c_140]) ).
tcf(c_212090,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_211545,c_116]) ).
tcf(c_212094,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212090,c_49]) ).
tcf(c_212099,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212089,c_49]) ).
tcf(c_212104,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212088,c_49]) ).
tcf(c_212108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK8(X1,xm)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212087,c_49]) ).
tcf(c_212122,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xn,sK8(xn,X1)) = X1 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_211554,c_139]) ).
tcf(c_212123,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_211554,c_144]) ).
tcf(c_212124,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_211554,c_140]) ).
tcf(c_212125,plain,
! [X0: $i] :
( iLess0(X0,xm)
| ( X0 = xm )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_211554,c_116]) ).
tcf(c_212128,plain,
! [X0: $i] :
( iLess0(X0,xm)
| ( X0 = xm )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212125,c_50]) ).
tcf(c_212133,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212124,c_50]) ).
tcf(c_212139,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(xn,sK8(xn,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212122,c_50]) ).
tcf(c_212156,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_211558]) ).
tcf(c_212157,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_211558]) ).
tcf(c_212160,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xm)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_211558]) ).
tcf(c_212161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_207,c_211558]) ).
tcf(c_212167,plain,
( sdtlseqdt0(sK2,xm)
| sdtlseqdt0(xn,sK2)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[status(thm)],[c_209437,c_211558]) ).
tcf(c_212168,plain,
( sdtlseqdt0(sK3,xm)
| sdtlseqdt0(xn,sK3)
| ~ aNaturalNumber0(sK3) ),
inference(superposition,[status(thm)],[c_209439,c_211558]) ).
tcf(c_212169,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xn,xq)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_209553,c_211558]) ).
tcf(c_212195,plain,
( sdtlseqdt0(xq,xm)
| sdtlseqdt0(xn,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212169,c_73]) ).
tcf(c_212198,plain,
( sdtlseqdt0(sK3,xm)
| sdtlseqdt0(xn,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212168,c_70]) ).
tcf(c_212201,plain,
( sdtlseqdt0(sK2,xm)
| sdtlseqdt0(xn,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212167,c_67]) ).
tcf(c_212242,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK5(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK5(sdtpldt0(X0,X1)))
| ~ doDivides0(sK5(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_102,c_122]) ).
tcf(c_212243,plain,
! [X0: $i,X1: $i] :
( isPrime0(sdtpldt0(X0,X1))
| doDivides0(sK6(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK6(sdtpldt0(X0,X1)))
| ~ doDivides0(sK6(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_107,c_122]) ).
tcf(c_212261,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210851,c_122]) ).
tcf(c_212262,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210872,c_122]) ).
tcf(c_212263,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(xp,xm)) ),
inference(superposition,[status(thm)],[c_211447,c_122]) ).
tcf(c_212264,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xm,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210869,c_122]) ).
tcf(c_212265,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210870,c_122]) ).
tcf(c_212266,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212263,c_51]) ).
tcf(c_212272,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212261,c_49]) ).
tcf(c_212278,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212265,c_114]) ).
tcf(c_212284,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xm,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212264,c_50]) ).
tcf(c_212290,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212262,c_209473]) ).
tcf(c_212353,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ doDivides0(X0,sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210851,c_123]) ).
tcf(c_212355,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xm))
| ~ doDivides0(X0,sK8(xp,xm)) ),
inference(superposition,[status(thm)],[c_211447,c_123]) ).
tcf(c_212356,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ~ doDivides0(X0,sK8(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210869,c_123]) ).
tcf(c_212357,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ~ doDivides0(X0,sK8(sz10,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210870,c_123]) ).
tcf(c_212358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_123,c_124]) ).
tcf(c_212359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( sdtpldt0(X0,X1) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ isPrime0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_123,c_110]) ).
tcf(c_212360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK7(X2,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_123,c_127]) ).
tcf(c_212361,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_123,c_85]) ).
tcf(c_212363,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xm))
| ~ doDivides0(X0,sK8(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212355,c_51]) ).
tcf(c_212369,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ doDivides0(X0,sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212353,c_49]) ).
tcf(c_212420,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xn),xp)) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_69,c_132]) ).
tcf(c_212421,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(xn,xp)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_72,c_132]) ).
tcf(c_212422,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK5(X0) = sz00 )
| ( sdtasdt0(sK5(X0),sdtsldt0(X0,sK5(X0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(X0)) ),
inference(superposition,[status(thm)],[c_102,c_132]) ).
tcf(c_212423,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK6(X0) = sz00 )
| ( sdtasdt0(sK6(X0),sdtsldt0(X0,sK6(X0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(X0)) ),
inference(superposition,[status(thm)],[c_107,c_132]) ).
tcf(c_212424,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_123,c_132]) ).
tcf(c_212425,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_210,c_132]) ).
tcf(c_212427,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209601,c_132]) ).
tcf(c_212428,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sz00,sz10)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209604,c_132]) ).
tcf(c_212429,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209603,c_132]) ).
tcf(c_212430,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209602,c_132]) ).
tcf(c_212431,plain,
( ( sz00 = sK2 )
| ( sdtasdt0(sK2,sdtsldt0(sz00,sK2)) = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209600,c_132]) ).
tcf(c_212432,plain,
( ( sz00 = sK3 )
| ( sdtasdt0(sK3,sdtsldt0(sz00,sK3)) = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209599,c_132]) ).
tcf(c_212433,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_209598,c_132]) ).
tcf(c_212434,plain,
( ( sdtasdt0(xn,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xn),sdtsldt0(sz00,sdtasdt0(xn,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_211612,c_132]) ).
tcf(c_212435,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209720,c_132]) ).
tcf(c_212436,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209723,c_132]) ).
tcf(c_212437,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209986,c_132]) ).
tcf(c_212438,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xm,sz10)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_209989,c_132]) ).
tcf(c_212439,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xn),sz10)) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210175,c_132]) ).
tcf(c_212440,plain,
( ( sdtasdt0(xn,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xn),sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210306,c_132]) ).
tcf(c_212441,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_209967,c_132]) ).
tcf(c_212442,plain,
( ( sz00 = sK2 )
| ( sdtasdt0(sK2,sdtsldt0(sK2,sK2)) = sK2 )
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[status(thm)],[c_209974,c_132]) ).
tcf(c_212443,plain,
( ( sz00 = sK3 )
| ( sdtasdt0(sK3,sdtsldt0(sK3,sK3)) = sK3 )
| ~ aNaturalNumber0(sK3) ),
inference(superposition,[status(thm)],[c_209977,c_132]) ).
tcf(c_212444,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(xq,xq)) = xq )
| ~ aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_209980,c_132]) ).
tcf(c_212445,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_209983,c_132]) ).
tcf(c_212446,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_210155,c_132]) ).
tcf(c_212447,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK2,sz10)) = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210161,c_132]) ).
tcf(c_212448,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sK3,sz10)) = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210168,c_132]) ).
tcf(c_212449,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xq,sz10)) = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_210279,c_132]) ).
tcf(c_212450,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xn,xn),xm)) = sdtasdt0(xn,xn) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209642,c_132]) ).
tcf(c_212451,plain,
sdtasdt0(sz10,sdtsldt0(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_212445,c_115,c_114]) ).
tcf(c_212452,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(xq,xq)) = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212444,c_73]) ).
tcf(c_212455,plain,
( ( sz00 = sK3 )
| ( sdtasdt0(sK3,sdtsldt0(sK3,sK3)) = sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212443,c_70]) ).
tcf(c_212458,plain,
( ( sz00 = sK2 )
| ( sdtasdt0(sK2,sdtsldt0(sK2,sK2)) = sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212442,c_67]) ).
tcf(c_212461,plain,
sdtasdt0(xp,sdtsldt0(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_212441,c_54,c_51]) ).
tcf(c_212462,plain,
sdtasdt0(xm,sdtsldt0(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_212436,c_53,c_50]) ).
tcf(c_212463,plain,
sdtasdt0(xn,sdtsldt0(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_212435,c_52,c_49]) ).
tcf(c_212464,plain,
sdtasdt0(sz10,sdtsldt0(xq,sz10)) = xq,
inference(forward_subsumption_resolution,[status(thm)],[c_212449,c_115,c_73,c_114]) ).
tcf(c_212465,plain,
sdtasdt0(sz10,sdtsldt0(sK3,sz10)) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_212448,c_115,c_70,c_114]) ).
tcf(c_212466,plain,
sdtasdt0(sz10,sdtsldt0(sK2,sz10)) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_212447,c_115,c_67,c_114]) ).
tcf(c_212467,plain,
sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_212446,c_115,c_114,c_51]) ).
tcf(c_212468,plain,
sdtasdt0(sz10,sdtsldt0(xm,sz10)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_212438,c_115,c_114,c_50]) ).
tcf(c_212469,plain,
sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_212437,c_115,c_114,c_49]) ).
tcf(c_212470,plain,
( ( sz00 = xq )
| ( sdtasdt0(xq,sdtsldt0(sz00,xq)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212433,c_73,c_100]) ).
tcf(c_212473,plain,
( ( sz00 = sK3 )
| ( sdtasdt0(sK3,sdtsldt0(sz00,sK3)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212432,c_70,c_100]) ).
tcf(c_212476,plain,
( ( sz00 = sK2 )
| ( sdtasdt0(sK2,sdtsldt0(sz00,sK2)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212431,c_67,c_100]) ).
tcf(c_212479,plain,
sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_212430,c_53,c_100,c_50]) ).
tcf(c_212480,plain,
sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_212429,c_52,c_100,c_49]) ).
tcf(c_212481,plain,
sdtasdt0(sz10,sdtsldt0(sz00,sz10)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_212428,c_115,c_114,c_100]) ).
tcf(c_212482,plain,
sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_212427,c_54,c_100,c_51]) ).
tcf(c_212484,plain,
sdtasdt0(xm,sdtsldt0(sdtasdt0(xn,xn),xm)) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_212450,c_53,c_50,c_209473]) ).
tcf(c_212485,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xn),sz10)) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_212439,c_115,c_114,c_209473]) ).
tcf(c_212486,plain,
sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xn),xp)) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_212420,c_54,c_51,c_209473]) ).
tcf(c_212487,plain,
sdtasdt0(sdtasdt0(xn,xn),sdtsldt0(sz00,sdtasdt0(xn,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_212434,c_209639,c_100,c_209473]) ).
tcf(c_212488,plain,
sdtasdt0(sdtasdt0(xn,xn),sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) = sdtasdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_212440,c_209639,c_209473]) ).
tcf(c_212576,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209391,c_145]) ).
tcf(c_212577,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_209385,c_145]) ).
tcf(c_212578,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_209386,c_145]) ).
tcf(c_212579,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_209387,c_145]) ).
tcf(c_212580,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_209388,c_145]) ).
tcf(c_212581,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK3,X0) != sK3 ) ),
inference(superposition,[status(thm)],[c_209389,c_145]) ).
tcf(c_212582,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_209390,c_145]) ).
tcf(c_212583,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_209392,c_145]) ).
tcf(c_212584,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_209397,c_145]) ).
tcf(c_212585,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_209398,c_145]) ).
tcf(c_212586,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_209399,c_145]) ).
tcf(c_212587,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_209400,c_145]) ).
tcf(c_212588,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK3 ) ),
inference(superposition,[status(thm)],[c_209401,c_145]) ).
tcf(c_212589,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(superposition,[status(thm)],[c_209402,c_145]) ).
tcf(c_212590,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_209404,c_145]) ).
tcf(c_212591,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_209544,c_145]) ).
tcf(c_212592,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_209545,c_145]) ).
tcf(c_212593,plain,
! [X0: $i] :
( ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ( sdtpldt0(xn,X0) != xm ) ),
inference(superposition,[status(thm)],[c_210851,c_145]) ).
tcf(c_212594,plain,
! [X0: $i] :
( ( sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ( sdtpldt0(sdtasdt0(xn,xn),X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_210872,c_145]) ).
tcf(c_212595,plain,
! [X0: $i] :
( ( sK8(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xm))
| ( sdtpldt0(xp,X0) != xm ) ),
inference(superposition,[status(thm)],[c_211447,c_145]) ).
tcf(c_212596,plain,
! [X0: $i] :
( ( sK8(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ( sdtpldt0(xm,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_210869,c_145]) ).
tcf(c_212597,plain,
! [X0: $i] :
( ( sK8(sz10,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ( sdtpldt0(sz10,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_210870,c_145]) ).
tcf(c_212599,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212576,c_100]) ).
tcf(c_212603,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212590,c_114,c_100]) ).
tcf(c_212607,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212589,c_73,c_100]) ).
tcf(c_212611,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212588,c_70,c_100]) ).
tcf(c_212615,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212587,c_67,c_100]) ).
tcf(c_212619,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212586,c_100,c_51]) ).
tcf(c_212623,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212585,c_100,c_50]) ).
tcf(c_212627,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212584,c_100,c_49]) ).
tcf(c_212631,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212583,c_114,c_100]) ).
tcf(c_212635,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212582,c_73,c_100]) ).
tcf(c_212639,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK3,X0) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212581,c_70,c_100]) ).
tcf(c_212643,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK2,X0) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212580,c_67,c_100]) ).
tcf(c_212647,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212579,c_100,c_51]) ).
tcf(c_212651,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212578,c_100,c_50]) ).
tcf(c_212655,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212577,c_100,c_49]) ).
tcf(c_212659,plain,
! [X0: $i] :
( ( sK8(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xm))
| ( sdtpldt0(xp,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212595,c_51]) ).
tcf(c_212664,plain,
! [X0: $i] :
( ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ( sdtpldt0(xn,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212593,c_49]) ).
tcf(c_212669,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xn),X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212592,c_100,c_209473]) ).
tcf(c_212673,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212591,c_100,c_209473]) ).
tcf(c_212677,plain,
! [X0: $i] :
( ( sK8(sz10,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ( sdtpldt0(sz10,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212597,c_114]) ).
tcf(c_212682,plain,
! [X0: $i] :
( ( sK8(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ( sdtpldt0(xm,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212596,c_50]) ).
tcf(c_212687,plain,
! [X0: $i] :
( ( sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ( sdtpldt0(sdtasdt0(xn,xn),X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212594,c_209473]) ).
tcf(c_212728,plain,
sdtlseqdt0(xq,xm),
inference(global_subsumption_just,[status(thm)],[c_212195,c_125978]) ).
tcf(c_212730,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_212728,c_139]) ).
tcf(c_212732,plain,
( ( sdtpldt0(xq,sK8(xq,xm)) = xm )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_212728,c_144]) ).
tcf(c_212733,plain,
( ( xm = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xq) ),
inference(superposition,[status(thm)],[c_212728,c_140]) ).
tcf(c_212734,plain,
( iLess0(xq,xm)
| ( xm = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_212728,c_116]) ).
tcf(c_212735,plain,
( iLess0(xq,xm)
| ( xm = xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212734,c_73,c_50]) ).
tcf(c_212738,plain,
( ( xm = xq )
| ~ sdtlseqdt0(xm,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212733,c_73,c_50]) ).
tcf(c_212741,plain,
sdtpldt0(xq,sK8(xq,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_212732,c_73,c_50]) ).
tcf(c_212742,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212730,c_73,c_50]) ).
tcf(c_212761,plain,
sdtlseqdt0(sK3,xm),
inference(global_subsumption_just,[status(thm)],[c_212198,c_125977]) ).
tcf(c_212763,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(superposition,[status(thm)],[c_212761,c_139]) ).
tcf(c_212765,plain,
( ( sdtpldt0(sK3,sK8(sK3,xm)) = xm )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_212761,c_144]) ).
tcf(c_212766,plain,
( ( xm = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sK3) ),
inference(superposition,[status(thm)],[c_212761,c_140]) ).
tcf(c_212767,plain,
( iLess0(sK3,xm)
| ( xm = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_212761,c_116]) ).
tcf(c_212768,plain,
( iLess0(sK3,xm)
| ( xm = sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212767,c_70,c_50]) ).
tcf(c_212771,plain,
( ( xm = sK3 )
| ~ sdtlseqdt0(xm,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212766,c_70,c_50]) ).
tcf(c_212774,plain,
sdtpldt0(sK3,sK8(sK3,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_212765,c_70,c_50]) ).
tcf(c_212775,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212763,c_70,c_50]) ).
tcf(c_212795,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK2)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_212201,c_139]) ).
tcf(c_212797,plain,
( sdtlseqdt0(xn,sK2)
| ( sdtpldt0(sK2,sK8(sK2,xm)) = xm )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_212201,c_144]) ).
tcf(c_212798,plain,
( sdtlseqdt0(xn,sK2)
| ( xm = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sK2) ),
inference(superposition,[status(thm)],[c_212201,c_140]) ).
tcf(c_212799,plain,
( sdtlseqdt0(xn,sK2)
| iLess0(sK2,xm)
| ( xm = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_212201,c_116]) ).
tcf(c_212800,plain,
( sdtlseqdt0(xn,sK2)
| iLess0(sK2,xm)
| ( xm = sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212799,c_67,c_50]) ).
tcf(c_212804,plain,
( sdtlseqdt0(xn,sK2)
| ( xm = sK2 )
| ~ sdtlseqdt0(xm,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212798,c_67,c_50]) ).
tcf(c_212808,plain,
( sdtlseqdt0(xn,sK2)
| ( sdtpldt0(sK2,sK8(sK2,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212797,c_67,c_50]) ).
tcf(c_212811,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK2)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212795,c_67,c_50]) ).
tcf(c_212840,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sK8(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xm)
| ~ doDivides0(X1,xn)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212272,c_124]) ).
tcf(c_212841,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sK8(xn,xm),X0)) = sK8(xn,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212272,c_132]) ).
tcf(c_212842,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ isPrime0(sK8(xn,xm))
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212272,c_110]) ).
tcf(c_212843,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK7(X0,sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212272,c_127]) ).
tcf(c_212844,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xm))
| ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212272,c_85]) ).
tcf(c_212909,plain,
( doDivides0(sK5(sK8(xn,xm)),xm)
| ( sK8(xn,xm) = sz10 )
| ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sK5(sK8(xn,xm)))
| ~ doDivides0(sK5(sK8(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_102,c_212369]) ).
tcf(c_212910,plain,
( isPrime0(sK8(xn,xm))
| doDivides0(sK6(sK8(xn,xm)),xm)
| ( sK8(xn,xm) = sz10 )
| ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sK6(sK8(xn,xm)))
| ~ doDivides0(sK6(sK8(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_107,c_212369]) ).
tcf(c_212933,plain,
( ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xm))
| ( xn != xm ) ),
inference(superposition,[status(thm)],[c_209385,c_212664]) ).
tcf(c_212935,plain,
( ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xm))
| ( xn != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212933,c_100]) ).
tcf(c_212939,plain,
( ( sdtasdt0(xn,xn) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212487,c_91]) ).
tcf(c_212943,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sz00)
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212487,c_86]) ).
tcf(c_212944,plain,
( ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212943,c_211406,c_209473]) ).
tcf(c_212965,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK8(xn,xm))
| ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xm)
| ~ doDivides0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212844,c_139]) ).
tcf(c_212966,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xn,sK8(xn,xm))
| ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212844,c_211558]) ).
tcf(c_212967,plain,
! [X0: $i] :
( ( sK8(xn,xm) = sz00 )
| ( sdtpldt0(X0,sK8(X0,sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212844,c_144]) ).
tcf(c_212968,plain,
! [X0: $i] :
( ( sK8(xn,xm) = sz00 )
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ sdtlseqdt0(sK8(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_212844,c_140]) ).
tcf(c_212969,plain,
! [X0: $i] :
( iLess0(X0,sK8(xn,xm))
| ( sK8(xn,xm) = sz00 )
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212844,c_116]) ).
tcf(c_212970,plain,
( sdtlseqdt0(xn,sK8(xn,xm))
| ( sK8(xn,xm) = sz00 )
| ( sK8(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xm,xm)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212844,c_211540]) ).
tcf(c_212978,plain,
( sdtlseqdt0(xn,sK8(xn,xm))
| ( sK8(xn,xm) = sz00 )
| ( sK8(xn,xm) = xm )
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_212970,c_50,c_209723]) ).
tcf(c_213030,plain,
( doDivides0(xp,sK8(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(sdtasdt0(xn,xn),xm)
| ~ doDivides0(sdtasdt0(xn,xn),xn) ),
inference(superposition,[status(thm)],[c_69,c_212840]) ).
tcf(c_213031,plain,
( doDivides0(xp,sK8(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,xm)
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_72,c_212840]) ).
tcf(c_213032,plain,
! [X0: $i] :
( doDivides0(sK5(X0),sK8(xn,xm))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK5(X0))
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_102,c_212840]) ).
tcf(c_213033,plain,
! [X0: $i] :
( isPrime0(X0)
| doDivides0(sK6(X0),sK8(xn,xm))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK6(X0))
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_107,c_212840]) ).
tcf(c_213034,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,sK8(xn,xm))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ doDivides0(sdtpldt0(X0,X1),xm)
| ~ doDivides0(sdtpldt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_123,c_212840]) ).
tcf(c_213035,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sK8(xn,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(sdtasdt0(X0,X1),xm)
| ~ doDivides0(sdtasdt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_210,c_212840]) ).
tcf(c_213036,plain,
( doDivides0(sz00,sK8(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209597,c_212840]) ).
tcf(c_213037,plain,
( doDivides0(xp,sK8(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209601,c_212840]) ).
tcf(c_213038,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209604,c_212840]) ).
tcf(c_213039,plain,
( doDivides0(xn,sK8(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209603,c_212840]) ).
tcf(c_213040,plain,
( doDivides0(xm,sK8(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209602,c_212840]) ).
tcf(c_213041,plain,
( doDivides0(sK2,sK8(xn,xm))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209600,c_212840]) ).
tcf(c_213042,plain,
( doDivides0(sK3,sK8(xn,xm))
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209599,c_212840]) ).
tcf(c_213043,plain,
( doDivides0(xq,sK8(xn,xm))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209598,c_212840]) ).
tcf(c_213044,plain,
( doDivides0(sdtasdt0(xn,xn),sK8(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_211612,c_212840]) ).
tcf(c_213045,plain,
( doDivides0(xn,sK8(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,xm)
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209720,c_212840]) ).
tcf(c_213046,plain,
( doDivides0(xm,sK8(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xm,xm)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209723,c_212840]) ).
tcf(c_213047,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,xm)
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209986,c_212840]) ).
tcf(c_213048,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xm,xm)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209989,c_212840]) ).
tcf(c_213049,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(sdtasdt0(xn,xn),xm)
| ~ doDivides0(sdtasdt0(xn,xn),xn) ),
inference(superposition,[status(thm)],[c_210175,c_212840]) ).
tcf(c_213050,plain,
( doDivides0(sdtasdt0(xn,xn),sK8(xn,xm))
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(sdtasdt0(xn,xn),xm)
| ~ doDivides0(sdtasdt0(xn,xn),xn) ),
inference(superposition,[status(thm)],[c_210306,c_212840]) ).
tcf(c_213051,plain,
( doDivides0(xp,sK8(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,xm)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209967,c_212840]) ).
tcf(c_213052,plain,
( doDivides0(sK2,sK8(xn,xm))
| ~ aNaturalNumber0(sK2)
| ~ doDivides0(sK2,xm)
| ~ doDivides0(sK2,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209974,c_212840]) ).
tcf(c_213054,plain,
( doDivides0(sK3,sK8(xn,xm))
| ~ aNaturalNumber0(sK3)
| ~ doDivides0(sK3,xm)
| ~ doDivides0(sK3,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209977,c_212840]) ).
tcf(c_213055,plain,
( doDivides0(xq,sK8(xn,xm))
| ~ aNaturalNumber0(xq)
| ~ doDivides0(xq,xm)
| ~ doDivides0(xq,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209980,c_212840]) ).
tcf(c_213056,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sz10,xm)
| ~ doDivides0(sz10,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_209983,c_212840]) ).
tcf(c_213057,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,xm)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210155,c_212840]) ).
tcf(c_213058,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK2,xm)
| ~ doDivides0(sK2,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210161,c_212840]) ).
tcf(c_213059,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK3,xm)
| ~ doDivides0(sK3,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210168,c_212840]) ).
tcf(c_213060,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xq,xm)
| ~ doDivides0(xq,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210279,c_212840]) ).
tcf(c_213061,plain,
( doDivides0(xm,sK8(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(sdtasdt0(xn,xn),xm)
| ~ doDivides0(sdtasdt0(xn,xn),xn) ),
inference(superposition,[status(thm)],[c_209642,c_212840]) ).
tcf(c_213062,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213056,c_114,c_209989,c_209986]) ).
tcf(c_213065,plain,
( doDivides0(xq,sK8(xn,xm))
| ~ doDivides0(xq,xm)
| ~ doDivides0(xq,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213055,c_73]) ).
tcf(c_213070,plain,
( doDivides0(sK3,sK8(xn,xm))
| ~ doDivides0(sK3,xm)
| ~ doDivides0(sK3,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213054,c_70]) ).
tcf(c_213075,plain,
( doDivides0(sK2,sK8(xn,xm))
| ~ doDivides0(sK2,xm)
| ~ doDivides0(sK2,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213052,c_67]) ).
tcf(c_213080,plain,
( doDivides0(xp,sK8(xn,xm))
| ~ doDivides0(xp,xm)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213051,c_51,c_72]) ).
tcf(c_213084,plain,
( doDivides0(xm,sK8(xn,xm))
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213046,c_50,c_209723]) ).
tcf(c_213088,plain,
( doDivides0(xn,sK8(xn,xm))
| ~ doDivides0(xn,xm)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213045,c_49,c_209720]) ).
tcf(c_213092,plain,
( doDivides0(sz00,sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213036,c_100]) ).
tcf(c_213097,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ doDivides0(xq,xm)
| ~ doDivides0(xq,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213060,c_73,c_114]) ).
tcf(c_213102,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ doDivides0(sK3,xm)
| ~ doDivides0(sK3,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213059,c_70,c_114]) ).
tcf(c_213107,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ doDivides0(sK2,xm)
| ~ doDivides0(sK2,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213058,c_67,c_114]) ).
tcf(c_213112,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ doDivides0(xp,xm)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213057,c_114,c_51,c_72]) ).
tcf(c_213116,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213048,c_114,c_50,c_209723]) ).
tcf(c_213120,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ doDivides0(xn,xm)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213047,c_114,c_49,c_209720]) ).
tcf(c_213124,plain,
( doDivides0(xq,sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213043,c_73,c_100]) ).
tcf(c_213129,plain,
( doDivides0(sK3,sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213042,c_70,c_100]) ).
tcf(c_213134,plain,
( doDivides0(sK2,sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213041,c_67,c_100]) ).
tcf(c_213139,plain,
( doDivides0(xm,sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213040,c_100,c_50]) ).
tcf(c_213144,plain,
( doDivides0(xn,sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213039,c_100,c_49]) ).
tcf(c_213149,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213038,c_114,c_100]) ).
tcf(c_213154,plain,
( doDivides0(xp,sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213037,c_100,c_51]) ).
tcf(c_213159,plain,
( doDivides0(xp,sK8(xn,xm))
| ~ doDivides0(xn,xm)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213031,c_51,c_49,c_209720]) ).
tcf(c_213163,plain,
( doDivides0(sdtasdt0(xn,xn),sK8(xn,xm))
| ~ doDivides0(sz00,xm)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213044,c_100,c_209473]) ).
tcf(c_213168,plain,
( doDivides0(sdtasdt0(xn,xn),sK8(xn,xm))
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xn),xm)
| ~ doDivides0(sdtasdt0(xn,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213050,c_209473]) ).
tcf(c_213173,plain,
( doDivides0(xm,sK8(xn,xm))
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xn),xm)
| ~ doDivides0(sdtasdt0(xn,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213061,c_50,c_209473]) ).
tcf(c_213179,plain,
( doDivides0(xp,sK8(xn,xm))
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xn),xm)
| ~ doDivides0(sdtasdt0(xn,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213030,c_51,c_209473]) ).
tcf(c_213339,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK7(X0,sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xm)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_143,c_212843]) ).
tcf(c_213340,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK7(X0,sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213339,c_50,c_49,c_209625]) ).
tcf(c_213387,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_209391,c_146]) ).
tcf(c_213388,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_209385,c_146]) ).
tcf(c_213389,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_209386,c_146]) ).
tcf(c_213390,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_209387,c_146]) ).
tcf(c_213391,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK2 ) ),
inference(superposition,[status(thm)],[c_209388,c_146]) ).
tcf(c_213392,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK3 ) ),
inference(superposition,[status(thm)],[c_209389,c_146]) ).
tcf(c_213393,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(superposition,[status(thm)],[c_209390,c_146]) ).
tcf(c_213394,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(superposition,[status(thm)],[c_209392,c_146]) ).
tcf(c_213395,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_209397,c_146]) ).
tcf(c_213396,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_209398,c_146]) ).
tcf(c_213397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_209399,c_146]) ).
tcf(c_213398,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK2) != sK2 ) ),
inference(superposition,[status(thm)],[c_209400,c_146]) ).
tcf(c_213399,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK3) != sK3 ) ),
inference(superposition,[status(thm)],[c_209401,c_146]) ).
tcf(c_213400,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(superposition,[status(thm)],[c_209402,c_146]) ).
tcf(c_213401,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_209404,c_146]) ).
tcf(c_213402,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_209544,c_146]) ).
tcf(c_213403,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_209545,c_146]) ).
tcf(c_213404,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ( sdtpldt0(X0,sK8(xn,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_210851,c_146]) ).
tcf(c_213405,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ( sdtpldt0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_210872,c_146]) ).
tcf(c_213406,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xm))
| ( sdtpldt0(X0,sK8(xp,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_211447,c_146]) ).
tcf(c_213407,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ( sdtpldt0(X0,sK8(xm,sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_210869,c_146]) ).
tcf(c_213408,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ( sdtpldt0(X0,sK8(sz10,sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_210870,c_146]) ).
tcf(c_213410,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213387,c_100]) ).
tcf(c_213414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213401,c_114,c_100]) ).
tcf(c_213418,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xq) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213400,c_73,c_100]) ).
tcf(c_213422,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK3) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213399,c_70,c_100]) ).
tcf(c_213426,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK2) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213398,c_67,c_100]) ).
tcf(c_213430,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213397,c_100,c_51]) ).
tcf(c_213434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213396,c_100,c_50]) ).
tcf(c_213438,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213395,c_100,c_49]) ).
tcf(c_213442,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213394,c_114,c_100]) ).
tcf(c_213446,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213393,c_73,c_100]) ).
tcf(c_213450,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213392,c_70,c_100]) ).
tcf(c_213454,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213391,c_67,c_100]) ).
tcf(c_213458,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213390,c_100,c_51]) ).
tcf(c_213462,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213389,c_100,c_50]) ).
tcf(c_213466,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213388,c_100,c_49]) ).
tcf(c_213470,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xm))
| ( sdtpldt0(X0,sK8(xp,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213406,c_51]) ).
tcf(c_213475,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ( sdtpldt0(X0,sK8(xn,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213404,c_49]) ).
tcf(c_213480,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213403,c_100,c_209473]) ).
tcf(c_213484,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xn)) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213402,c_100,c_209473]) ).
tcf(c_213488,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ( sdtpldt0(X0,sK8(sz10,sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213408,c_114]) ).
tcf(c_213493,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ( sdtpldt0(X0,sK8(xm,sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213407,c_50]) ).
tcf(c_213498,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ( sdtpldt0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213405,c_209473]) ).
tcf(c_213532,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,X1),sdtasdt0(xn,X0)) = sdtasdt0(xn,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_117]) ).
tcf(c_213533,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X1),sdtasdt0(xm,X0)) = sdtasdt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_117]) ).
tcf(c_213534,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X1),sdtasdt0(xp,X0)) = sdtasdt0(xp,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_117]) ).
tcf(c_213535,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK2,X1),sdtasdt0(sK2,X0)) = sdtasdt0(sK2,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_67,c_117]) ).
tcf(c_213536,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK3,X1),sdtasdt0(sK3,X0)) = sdtasdt0(sK3,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_70,c_117]) ).
tcf(c_213537,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(xq,X0)) = sdtasdt0(xq,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_117]) ).
tcf(c_213538,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_117]) ).
tcf(c_213539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK5(X0),X2),sdtasdt0(sK5(X0),X1)) = sdtasdt0(sK5(X0),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_117]) ).
tcf(c_213540,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(X0),X2),sdtasdt0(sK6(X0),X1)) = sdtasdt0(sK6(X0),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_117]) ).
tcf(c_213541,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz10,X1),sdtasdt0(sz10,X0)) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_117]) ).
tcf(c_213542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X0,X1),X2)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_117]) ).
tcf(c_213543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK7(X0,X1),X3),sdtasdt0(sK7(X0,X1),X2)) = sdtasdt0(sK7(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_117]) ).
tcf(c_213544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X3),sdtasdt0(sdtsldt0(X1,X0),X2)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_117]) ).
tcf(c_213545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_117]) ).
tcf(c_213546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK8(X0,X1),X3),sdtasdt0(sK8(X0,X1),X2)) = sdtasdt0(sK8(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_117]) ).
tcf(c_213547,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xn),X1),sdtasdt0(sdtasdt0(xn,xn),X0)) = sdtasdt0(sdtasdt0(xn,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_209473,c_117]) ).
tcf(c_213673,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xn),sdtasdt0(X0,xn)) = sdtasdt0(sdtpldt0(X1,X0),xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_118]) ).
tcf(c_213674,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xm),sdtasdt0(X0,xm)) = sdtasdt0(sdtpldt0(X1,X0),xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_118]) ).
tcf(c_213675,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xp),sdtasdt0(X0,xp)) = sdtasdt0(sdtpldt0(X1,X0),xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_118]) ).
tcf(c_213676,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK2),sdtasdt0(X0,sK2)) = sdtasdt0(sdtpldt0(X1,X0),sK2) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_67,c_118]) ).
tcf(c_213677,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK3),sdtasdt0(X0,sK3)) = sdtasdt0(sdtpldt0(X1,X0),sK3) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_70,c_118]) ).
tcf(c_213678,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xq),sdtasdt0(X0,xq)) = sdtasdt0(sdtpldt0(X1,X0),xq) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_118]) ).
tcf(c_213679,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_100,c_118]) ).
tcf(c_213680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sK5(X0)),sdtasdt0(X1,sK5(X0))) = sdtasdt0(sdtpldt0(X2,X1),sK5(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_118]) ).
tcf(c_213681,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sK6(X0)),sdtasdt0(X1,sK6(X0))) = sdtasdt0(sdtpldt0(X2,X1),sK6(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_118]) ).
tcf(c_213682,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sz10),sdtasdt0(X0,sz10)) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_114,c_118]) ).
tcf(c_213683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X0,X1)),sdtasdt0(X2,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_121,c_118]) ).
tcf(c_213684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK7(X0,X1)),sdtasdt0(X2,sK7(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sK7(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_126,c_118]) ).
tcf(c_213685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,sdtsldt0(X1,X0)),sdtasdt0(X2,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X3,X2),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_131,c_118]) ).
tcf(c_213686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),sdtasdt0(X2,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_149,c_118]) ).
tcf(c_213687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK8(X0,X1)),sdtasdt0(X2,sK8(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sK8(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_143,c_118]) ).
tcf(c_213688,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xn,xn)),sdtasdt0(X0,sdtasdt0(xn,xn))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xn,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_209473,c_118]) ).
tcf(c_213790,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK5(sdtasdt0(X0,X1)),X1)
| doDivides0(sK5(sdtasdt0(X0,X1)),X0)
| ( sdtasdt0(X0,X1) = sz10 )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ isPrime0(sK5(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sK5(sdtasdt0(X0,X1))) ),
inference(superposition,[status(thm)],[c_102,c_128]) ).
tcf(c_213791,plain,
! [X0: $i,X1: $i] :
( isPrime0(sdtasdt0(X0,X1))
| doDivides0(sK6(sdtasdt0(X0,X1)),X1)
| doDivides0(sK6(sdtasdt0(X0,X1)),X0)
| ( sdtasdt0(X0,X1) = sz10 )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ isPrime0(sK6(sdtasdt0(X0,X1)))
| ~ aNaturalNumber0(sK6(sdtasdt0(X0,X1))) ),
inference(superposition,[status(thm)],[c_107,c_128]) ).
tcf(c_213792,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,X1)
| doDivides0(X0,X0)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_210,c_128]) ).
tcf(c_213794,plain,
( doDivides0(sdtasdt0(xn,xn),xn)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210306,c_128]) ).
tcf(c_213795,plain,
( doDivides0(xm,xn)
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_209642,c_128]) ).
tcf(c_213796,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209635,c_128]) ).
tcf(c_213797,plain,
! [X0: $i] :
( doDivides0(X0,sK2)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_68,c_128]) ).
tcf(c_213798,plain,
! [X0: $i] :
( doDivides0(X0,sK3)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_71,c_128]) ).
tcf(c_213799,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_74,c_128]) ).
tcf(c_213800,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209637,c_128]) ).
tcf(c_213835,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| doDivides0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212487,c_128]) ).
tcf(c_213838,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sK7(xm,sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210515,c_128]) ).
tcf(c_213839,plain,
( doDivides0(xm,xn)
| ~ isPrime0(xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213795,c_50,c_49]) ).
tcf(c_213847,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213796,c_50]) ).
tcf(c_213852,plain,
( doDivides0(sdtasdt0(xn,xn),xn)
| ~ isPrime0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213794,c_49,c_209473]) ).
tcf(c_213855,plain,
! [X0: $i] :
( doDivides0(X0,xq)
| doDivides0(X0,xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213799,c_73,c_51]) ).
tcf(c_213861,plain,
! [X0: $i] :
( doDivides0(X0,sK3)
| doDivides0(X0,xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213798,c_70,c_51]) ).
tcf(c_213867,plain,
! [X0: $i] :
( doDivides0(X0,sK2)
| doDivides0(X0,xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213797,c_67,c_51]) ).
tcf(c_213873,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sdtasdt0(xq,xq))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ doDivides0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213800,c_51]) ).
tcf(c_213880,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sK7(xm,sdtasdt0(xn,xn)))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213838,c_50]) ).
tcf(c_213887,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xn))
| doDivides0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213835,c_209473]) ).
tcf(c_213957,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_213839,c_124]) ).
tcf(c_213958,plain,
( doDivides0(xm,sK8(xn,xm))
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,xm)
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_213839,c_212840]) ).
tcf(c_213959,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xn,xm)) = xn )
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_213839,c_132]) ).
tcf(c_213960,plain,
( ( xm = sz10 )
| ( xn = xm )
| ~ isPrime0(xm)
| ~ isPrime0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_213839,c_110]) ).
tcf(c_213961,plain,
( ( sdtasdt0(xm,sK7(xm,xn)) = xn )
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_213839,c_127]) ).
tcf(c_213962,plain,
( sdtlseqdt0(xm,xn)
| ( xn = sz00 )
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_213839,c_85]) ).
tcf(c_213963,plain,
( sdtlseqdt0(xm,xn)
| ~ isPrime0(xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213962,c_52,c_50,c_49]) ).
tcf(c_213966,plain,
( ( sdtasdt0(xm,sK7(xm,xn)) = xn )
| ~ isPrime0(xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213961,c_50,c_49]) ).
tcf(c_213969,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ isPrime0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213957,c_50,c_49]) ).
tcf(c_213974,plain,
( ( xm = sz10 )
| ( xn = xm )
| ~ isPrime0(xm)
| ~ isPrime0(xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213960,c_50,c_49]) ).
tcf(c_213979,plain,
( ( sdtasdt0(xm,sdtsldt0(xn,xm)) = xn )
| ~ isPrime0(xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213959,c_53,c_50,c_49]) ).
tcf(c_213982,plain,
( doDivides0(xm,sK8(xn,xm))
| ~ isPrime0(xm)
| ~ doDivides0(xn,xm)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213958,c_50,c_49,c_209720]) ).
tcf(c_213991,plain,
( ( xn = xm )
| ~ isPrime0(xm) ),
inference(superposition,[status(thm)],[c_213963,c_84]) ).
tcf(c_213992,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_213963,c_139]) ).
tcf(c_213994,plain,
( ( sdtpldt0(xm,sK8(xm,xn)) = xn )
| ~ isPrime0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_213963,c_144]) ).
tcf(c_214001,plain,
( ( sdtpldt0(xm,sK8(xm,xn)) = xn )
| ~ isPrime0(xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213994,c_50,c_49]) ).
tcf(c_214004,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ isPrime0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_213992,c_50,c_49]) ).
tcf(c_214029,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| ( sdtasdt0(sK5(xm),sK7(sK5(xm),sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK5(xm))
| ~ doDivides0(sK5(xm),xn) ),
inference(superposition,[status(thm)],[c_102,c_213340]) ).
tcf(c_214030,plain,
( isPrime0(xm)
| ( xm = sz10 )
| ( xm = sz00 )
| ( sdtasdt0(sK6(xm),sK7(sK6(xm),sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK6(xm))
| ~ doDivides0(sK6(xm),xn) ),
inference(superposition,[status(thm)],[c_107,c_213340]) ).
tcf(c_214031,plain,
( ( sdtasdt0(xm,sK7(xm,sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xm,xn) ),
inference(superposition,[status(thm)],[c_209723,c_213340]) ).
tcf(c_214032,plain,
( ( sdtasdt0(sz10,sK7(sz10,sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sz10,xn) ),
inference(superposition,[status(thm)],[c_209989,c_213340]) ).
tcf(c_214033,plain,
sdtasdt0(sz10,sK7(sz10,sK8(xn,xm))) = sK8(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_214032,c_114,c_209986]) ).
tcf(c_214034,plain,
( ( sdtasdt0(xm,sK7(xm,sK8(xn,xm))) = sK8(xn,xm) )
| ~ doDivides0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214031,c_50]) ).
tcf(c_214037,plain,
( ( xm = sz10 )
| ( sdtasdt0(sK5(xm),sK7(sK5(xm),sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(sK5(xm))
| ~ doDivides0(sK5(xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214029,c_53,c_50]) ).
tcf(c_214042,plain,
( isPrime0(xm)
| ( xm = sz10 )
| ( sdtasdt0(sK6(xm),sK7(sK6(xm),sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(sK6(xm))
| ~ doDivides0(sK6(xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214030,c_53,c_50]) ).
tcf(c_214048,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK7(sz10,sK8(xn,xm)))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8(xn,xm))
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214033,c_128]) ).
tcf(c_214049,plain,
( ( sz00 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ( sK8(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_214033,c_91]) ).
tcf(c_214051,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214033,c_210]) ).
tcf(c_214052,plain,
( aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214033,c_121]) ).
tcf(c_214053,plain,
( sdtlseqdt0(sz10,sK8(xn,xm))
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214033,c_86]) ).
tcf(c_214054,plain,
( aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214052,c_114]) ).
tcf(c_214057,plain,
( doDivides0(sz10,sK8(xn,xm))
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214051,c_114]) ).
tcf(c_214060,plain,
( sdtlseqdt0(sz10,sK8(xn,xm))
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214053,c_114]) ).
tcf(c_214064,plain,
( ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ( sK8(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214049,c_115,c_114]) ).
tcf(c_214068,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK7(sz10,sK8(xn,xm)))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK8(xn,xm))
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214048,c_114]) ).
tcf(c_214085,plain,
( ( sdtasdt0(xm,sK7(xm,sK8(xn,xm))) = sK8(xn,xm) )
| ~ isPrime0(xm) ),
inference(superposition,[status(thm)],[c_213839,c_214034]) ).
tcf(c_214091,plain,
( ( xm = sz10 )
| ( sdtasdt0(sK5(xm),sK7(sK5(xm),sK8(xn,xm))) = sK8(xn,xm) )
| ~ doDivides0(sK5(xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_214037,c_50,c_53,c_6922,c_214037]) ).
tcf(c_214099,plain,
( isPrime0(xm)
| ( xm = sz10 )
| ( sdtasdt0(sK6(xm),sK7(sK6(xm),sK8(xn,xm))) = sK8(xn,xm) )
| ~ doDivides0(sK6(xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_214042,c_50,c_53,c_7097,c_214042]) ).
tcf(c_214125,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK7(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK7(sz10,xm)) ),
inference(superposition,[status(thm)],[c_210505,c_128]) ).
tcf(c_214131,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK7(sz10,xm))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK7(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214125,c_114]) ).
tcf(c_214150,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209391,c_134]) ).
tcf(c_214151,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209385,c_134]) ).
tcf(c_214152,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209386,c_134]) ).
tcf(c_214153,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209387,c_134]) ).
tcf(c_214154,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sK2,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209388,c_134]) ).
tcf(c_214155,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtpldt0(sK3,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209389,c_134]) ).
tcf(c_214156,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209390,c_134]) ).
tcf(c_214157,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209392,c_134]) ).
tcf(c_214158,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_209397,c_134]) ).
tcf(c_214159,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_209398,c_134]) ).
tcf(c_214160,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_209399,c_134]) ).
tcf(c_214161,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sz00,X0))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_209400,c_134]) ).
tcf(c_214162,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtpldt0(sz00,X0))
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(superposition,[status(thm)],[c_209401,c_134]) ).
tcf(c_214163,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_209402,c_134]) ).
tcf(c_214164,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209404,c_134]) ).
tcf(c_214165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_209544,c_134]) ).
tcf(c_214166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sdtasdt0(xn,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209545,c_134]) ).
tcf(c_214167,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xn,X0))
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ sdtlseqdt0(sK8(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_210851,c_134]) ).
tcf(c_214168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sdtasdt0(xn,xn),X0))
| ( sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)),X0) ),
inference(superposition,[status(thm)],[c_210872,c_134]) ).
tcf(c_214169,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xp,X0))
| ( sK8(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xm))
| ~ sdtlseqdt0(sK8(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_211447,c_134]) ).
tcf(c_214170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(xm,X0))
| ( sK8(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sK8(xm,sdtasdt0(xn,xn)),X0) ),
inference(superposition,[status(thm)],[c_210869,c_134]) ).
tcf(c_214171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sz10,X0))
| ( sK8(sz10,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sK8(sz10,sdtasdt0(xn,xn)),X0) ),
inference(superposition,[status(thm)],[c_210870,c_134]) ).
tcf(c_214172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209391,c_134]) ).
tcf(c_214173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209385,c_134]) ).
tcf(c_214174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209386,c_134]) ).
tcf(c_214175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209387,c_134]) ).
tcf(c_214176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209388,c_134]) ).
tcf(c_214177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK3,X0),sK3)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209389,c_134]) ).
tcf(c_214178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209390,c_134]) ).
tcf(c_214179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209392,c_134]) ).
tcf(c_214180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_209397,c_134]) ).
tcf(c_214181,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_209398,c_134]) ).
tcf(c_214182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_209399,c_134]) ).
tcf(c_214183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_209400,c_134]) ).
tcf(c_214184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3)
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(superposition,[status(thm)],[c_209401,c_134]) ).
tcf(c_214185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_209402,c_134]) ).
tcf(c_214186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209404,c_134]) ).
tcf(c_214187,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209544,c_134]) ).
tcf(c_214188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209545,c_134]) ).
tcf(c_214189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xm)
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ sdtlseqdt0(X0,sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210851,c_134]) ).
tcf(c_214190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn))
| ( sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210872,c_134]) ).
tcf(c_214191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xm)
| ( sK8(xp,xm) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xm))
| ~ sdtlseqdt0(X0,sK8(xp,xm)) ),
inference(superposition,[status(thm)],[c_211447,c_134]) ).
tcf(c_214192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xn,xn))
| ( sK8(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sK8(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210869,c_134]) ).
tcf(c_214193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtasdt0(xn,xn))
| ( sK8(sz10,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sK8(sz10,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210870,c_134]) ).
tcf(c_214194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtpldt0(X1,X3))
| ( X2 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X3))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_134,c_139]) ).
tcf(c_214195,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),xm)
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_134,c_211558]) ).
tcf(c_214196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK8(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_134,c_144]) ).
tcf(c_214197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X0,X2)) ),
inference(superposition,[status(thm)],[c_134,c_140]) ).
tcf(c_214198,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))
| ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_134,c_116]) ).
tcf(c_214199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214172,c_100]) ).
tcf(c_214204,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214150,c_100]) ).
tcf(c_214209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214186,c_114,c_100]) ).
tcf(c_214214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214185,c_73,c_100]) ).
tcf(c_214219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK3)
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214184,c_70,c_100]) ).
tcf(c_214224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214183,c_67,c_100]) ).
tcf(c_214229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214182,c_100,c_51]) ).
tcf(c_214234,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214181,c_100,c_50]) ).
tcf(c_214239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214180,c_100,c_49]) ).
tcf(c_214244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214179,c_114,c_100]) ).
tcf(c_214249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xq,X0),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214178,c_73,c_100]) ).
tcf(c_214254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK3,X0),sK3)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214177,c_70,c_100]) ).
tcf(c_214259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK2,X0),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214176,c_67,c_100]) ).
tcf(c_214264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214175,c_100,c_51]) ).
tcf(c_214269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214174,c_100,c_50]) ).
tcf(c_214274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214173,c_100,c_49]) ).
tcf(c_214279,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214164,c_114,c_100]) ).
tcf(c_214284,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(sz00,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214163,c_73,c_100]) ).
tcf(c_214289,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtpldt0(sz00,X0))
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214162,c_70,c_100]) ).
tcf(c_214294,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sz00,X0))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214161,c_67,c_100]) ).
tcf(c_214299,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214160,c_100,c_51]) ).
tcf(c_214304,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214159,c_100,c_50]) ).
tcf(c_214309,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214158,c_100,c_49]) ).
tcf(c_214314,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214157,c_114,c_100]) ).
tcf(c_214319,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(xq,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214156,c_73,c_100]) ).
tcf(c_214324,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtpldt0(sK3,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214155,c_70,c_100]) ).
tcf(c_214329,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(sK2,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214154,c_67,c_100]) ).
tcf(c_214334,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214153,c_100,c_51]) ).
tcf(c_214339,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214152,c_100,c_50]) ).
tcf(c_214344,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214151,c_100,c_49]) ).
tcf(c_214349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xm)
| ( sK8(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xm))
| ~ sdtlseqdt0(X0,sK8(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214191,c_51]) ).
tcf(c_214355,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xm)
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ sdtlseqdt0(X0,sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214189,c_49]) ).
tcf(c_214361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214188,c_100,c_209473]) ).
tcf(c_214366,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xp,X0))
| ( sK8(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xm))
| ~ sdtlseqdt0(sK8(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214169,c_51]) ).
tcf(c_214372,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xn,X0))
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ sdtlseqdt0(sK8(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214167,c_49]) ).
tcf(c_214378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sdtasdt0(xn,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214166,c_100,c_209473]) ).
tcf(c_214383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214187,c_100,c_209473]) ).
tcf(c_214388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214165,c_100,c_209473]) ).
tcf(c_214393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtasdt0(xn,xn))
| ( sK8(sz10,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sK8(sz10,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214193,c_114]) ).
tcf(c_214399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtasdt0(xn,xn))
| ( sK8(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sK8(xm,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214192,c_50]) ).
tcf(c_214405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sz10,X0))
| ( sK8(sz10,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sK8(sz10,sdtasdt0(xn,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214171,c_114]) ).
tcf(c_214411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(xm,X0))
| ( sK8(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sK8(xm,sdtasdt0(xn,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214170,c_50]) ).
tcf(c_214462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn))
| ( sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214190,c_209473]) ).
tcf(c_214468,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(sdtasdt0(xn,xn),X0))
| ( sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214168,c_209473]) ).
tcf(c_214584,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209391,c_136]) ).
tcf(c_214585,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_209385,c_136]) ).
tcf(c_214586,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_209386,c_136]) ).
tcf(c_214587,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_209387,c_136]) ).
tcf(c_214588,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sz00))
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_209388,c_136]) ).
tcf(c_214589,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtpldt0(X0,sz00))
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(superposition,[status(thm)],[c_209389,c_136]) ).
tcf(c_214590,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_209390,c_136]) ).
tcf(c_214591,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209392,c_136]) ).
tcf(c_214592,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209397,c_136]) ).
tcf(c_214593,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209398,c_136]) ).
tcf(c_214594,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209399,c_136]) ).
tcf(c_214595,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209400,c_136]) ).
tcf(c_214596,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtpldt0(X0,sK3))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209401,c_136]) ).
tcf(c_214597,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209402,c_136]) ).
tcf(c_214598,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209404,c_136]) ).
tcf(c_214599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sdtasdt0(xn,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209544,c_136]) ).
tcf(c_214600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_209545,c_136]) ).
tcf(c_214601,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(xn,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210851,c_136]) ).
tcf(c_214602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210872,c_136]) ).
tcf(c_214603,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(xp,xm)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK8(xp,xm)) ),
inference(superposition,[status(thm)],[c_211447,c_136]) ).
tcf(c_214604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sK8(xm,sdtasdt0(xn,xn))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210869,c_136]) ).
tcf(c_214605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sK8(sz10,sdtasdt0(xn,xn))))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210870,c_136]) ).
tcf(c_214606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209391,c_136]) ).
tcf(c_214607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_209385,c_136]) ).
tcf(c_214608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_209386,c_136]) ).
tcf(c_214609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_209387,c_136]) ).
tcf(c_214610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_209388,c_136]) ).
tcf(c_214611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3)
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(superposition,[status(thm)],[c_209389,c_136]) ).
tcf(c_214612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_209390,c_136]) ).
tcf(c_214613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209392,c_136]) ).
tcf(c_214614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209397,c_136]) ).
tcf(c_214615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209398,c_136]) ).
tcf(c_214616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209399,c_136]) ).
tcf(c_214617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209400,c_136]) ).
tcf(c_214618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3),sK3)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209401,c_136]) ).
tcf(c_214619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209402,c_136]) ).
tcf(c_214620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209404,c_136]) ).
tcf(c_214621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xn)),sdtasdt0(xn,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209544,c_136]) ).
tcf(c_214622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209545,c_136]) ).
tcf(c_214623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xn,xm)),xm)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_210851,c_136]) ).
tcf(c_214624,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210872,c_136]) ).
tcf(c_214625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xp,xm)),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xm)) ),
inference(superposition,[status(thm)],[c_211447,c_136]) ).
tcf(c_214626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xm,sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210869,c_136]) ).
tcf(c_214627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210870,c_136]) ).
tcf(c_214628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtpldt0(X3,X2))
| ( X1 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(sdtpldt0(X3,X2))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_136,c_139]) ).
tcf(c_214629,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),xm)
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_211558]) ).
tcf(c_214630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK8(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_144]) ).
tcf(c_214631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X1)) ),
inference(superposition,[status(thm)],[c_136,c_140]) ).
tcf(c_214632,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))
| ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_136,c_116]) ).
tcf(c_214633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214606,c_100]) ).
tcf(c_214638,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214584,c_100]) ).
tcf(c_214643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214620,c_114,c_100]) ).
tcf(c_214648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xq),xq)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214619,c_73,c_100]) ).
tcf(c_214653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK3),sK3)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214618,c_70,c_100]) ).
tcf(c_214658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK2),sK2)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214617,c_67,c_100]) ).
tcf(c_214663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214616,c_100,c_51]) ).
tcf(c_214668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214615,c_100,c_50]) ).
tcf(c_214673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214614,c_100,c_49]) ).
tcf(c_214678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214613,c_114,c_100]) ).
tcf(c_214683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214612,c_73,c_100]) ).
tcf(c_214688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK3)
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214611,c_70,c_100]) ).
tcf(c_214693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214610,c_67,c_100]) ).
tcf(c_214698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214609,c_100,c_51]) ).
tcf(c_214703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214608,c_100,c_50]) ).
tcf(c_214708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214607,c_100,c_49]) ).
tcf(c_214713,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214598,c_114,c_100]) ).
tcf(c_214718,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,xq))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214597,c_73,c_100]) ).
tcf(c_214723,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtpldt0(X0,sK3))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214596,c_70,c_100]) ).
tcf(c_214728,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sK2))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214595,c_67,c_100]) ).
tcf(c_214733,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214594,c_100,c_51]) ).
tcf(c_214738,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214593,c_100,c_50]) ).
tcf(c_214743,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214592,c_100,c_49]) ).
tcf(c_214748,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214591,c_114,c_100]) ).
tcf(c_214753,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtpldt0(X0,sz00))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214590,c_73,c_100]) ).
tcf(c_214758,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtpldt0(X0,sz00))
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214589,c_70,c_100]) ).
tcf(c_214763,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtpldt0(X0,sz00))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214588,c_67,c_100]) ).
tcf(c_214768,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214587,c_100,c_51]) ).
tcf(c_214773,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214586,c_100,c_50]) ).
tcf(c_214778,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214585,c_100,c_49]) ).
tcf(c_214783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xp,xm)),xm)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214625,c_51]) ).
tcf(c_214789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xn,xm)),xm)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214623,c_49]) ).
tcf(c_214795,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(xp,xm)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK8(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214603,c_51]) ).
tcf(c_214801,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(xn,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214601,c_49]) ).
tcf(c_214807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xn)),sdtasdt0(xn,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214621,c_100,c_209473]) ).
tcf(c_214812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sdtasdt0(xn,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214599,c_100,c_209473]) ).
tcf(c_214817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214622,c_100,c_209473]) ).
tcf(c_214822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214600,c_100,c_209473]) ).
tcf(c_214827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214627,c_114]) ).
tcf(c_214833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xm,sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214626,c_50]) ).
tcf(c_214839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sK8(sz10,sdtasdt0(xn,xn))))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214605,c_114]) ).
tcf(c_214845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sK8(xm,sdtasdt0(xn,xn))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK8(xm,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214604,c_50]) ).
tcf(c_214879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214624,c_209473]) ).
tcf(c_214885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtpldt0(X0,sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214602,c_209473]) ).
tcf(c_215093,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209635,c_94]) ).
tcf(c_215094,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_68,c_94]) ).
tcf(c_215095,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xn ) ),
inference(superposition,[status(thm)],[c_71,c_94]) ).
tcf(c_215096,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xn ) ),
inference(superposition,[status(thm)],[c_74,c_94]) ).
tcf(c_215097,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209637,c_94]) ).
tcf(c_215098,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209368,c_94]) ).
tcf(c_215107,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209361,c_94]) ).
tcf(c_215108,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209362,c_94]) ).
tcf(c_215109,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209363,c_94]) ).
tcf(c_215110,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK2,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209364,c_94]) ).
tcf(c_215111,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK3,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209365,c_94]) ).
tcf(c_215112,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_209366,c_94]) ).
tcf(c_215113,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_209409,c_94]) ).
tcf(c_215114,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_209410,c_94]) ).
tcf(c_215115,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_209411,c_94]) ).
tcf(c_215116,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK2,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_209412,c_94]) ).
tcf(c_215117,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK3,X0) != sK3 ) ),
inference(superposition,[status(thm)],[c_209413,c_94]) ).
tcf(c_215118,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_209414,c_94]) ).
tcf(c_215119,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_209416,c_94]) ).
tcf(c_215120,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_209421,c_94]) ).
tcf(c_215121,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_209422,c_94]) ).
tcf(c_215122,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_209423,c_94]) ).
tcf(c_215123,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_209424,c_94]) ).
tcf(c_215124,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK3 ) ),
inference(superposition,[status(thm)],[c_209425,c_94]) ).
tcf(c_215125,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xq ) ),
inference(superposition,[status(thm)],[c_209426,c_94]) ).
tcf(c_215126,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209542,c_94]) ).
tcf(c_215127,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(sdtasdt0(xn,xn),X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209543,c_94]) ).
tcf(c_215129,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_209547,c_94]) ).
tcf(c_215130,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK7(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_210499,c_94]) ).
tcf(c_215131,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK7(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_210498,c_94]) ).
tcf(c_215132,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK7(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_210505,c_94]) ).
tcf(c_215133,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xn,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_212487,c_94]) ).
tcf(c_215134,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xn,xn),X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_212488,c_94]) ).
tcf(c_215135,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209638,c_94]) ).
tcf(c_215136,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK7(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(xm,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_210515,c_94]) ).
tcf(c_215137,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ( sdtasdt0(sz10,X0) != sK8(xn,xm) ) ),
inference(superposition,[status(thm)],[c_214033,c_94]) ).
tcf(c_215139,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215119,c_115,c_114]) ).
tcf(c_215143,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215093,c_53,c_50]) ).
tcf(c_215147,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215125,c_115,c_73,c_114]) ).
tcf(c_215151,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215124,c_115,c_70,c_114]) ).
tcf(c_215155,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215123,c_115,c_67,c_114]) ).
tcf(c_215159,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215122,c_115,c_114,c_51]) ).
tcf(c_215163,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215121,c_115,c_114,c_50]) ).
tcf(c_215167,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215120,c_115,c_114,c_49]) ).
tcf(c_215171,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215118,c_73,c_114]) ).
tcf(c_215176,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK3,X0) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215117,c_70,c_114]) ).
tcf(c_215181,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK2,X0) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215116,c_67,c_114]) ).
tcf(c_215186,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215115,c_54,c_114,c_51]) ).
tcf(c_215190,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215114,c_53,c_114,c_50]) ).
tcf(c_215194,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215113,c_52,c_114,c_49]) ).
tcf(c_215198,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xq,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215112,c_73,c_100]) ).
tcf(c_215203,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK3,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215111,c_70,c_100]) ).
tcf(c_215208,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK2,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215110,c_67,c_100]) ).
tcf(c_215213,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215109,c_54,c_100,c_51]) ).
tcf(c_215217,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215108,c_53,c_100,c_50]) ).
tcf(c_215221,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215107,c_52,c_100,c_49]) ).
tcf(c_215225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215098,c_115,c_114,c_100]) ).
tcf(c_215229,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215096,c_54,c_73,c_51]) ).
tcf(c_215233,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215095,c_54,c_70,c_51]) ).
tcf(c_215237,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215094,c_54,c_67,c_51]) ).
tcf(c_215241,plain,
! [X0: $i] :
( ( sK7(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215132,c_115,c_114]) ).
tcf(c_215246,plain,
! [X0: $i] :
( ( sK7(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215131,c_53,c_50]) ).
tcf(c_215251,plain,
! [X0: $i] :
( ( sK7(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215130,c_52,c_49]) ).
tcf(c_215256,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215135,c_54,c_51,c_209473]) ).
tcf(c_215260,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215129,c_209639,c_100,c_209473]) ).
tcf(c_215264,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215126,c_115,c_114,c_209473]) ).
tcf(c_215268,plain,
! [X0: $i] :
( ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215097,c_54,c_51]) ).
tcf(c_215273,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xn),X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215127,c_209639,c_114,c_209473]) ).
tcf(c_215277,plain,
! [X0: $i] :
( ( sK7(sz10,sK8(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ( sdtasdt0(sz10,X0) != sK8(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215137,c_115,c_114]) ).
tcf(c_215282,plain,
! [X0: $i] :
( ( sK7(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(xm,X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215136,c_53,c_50]) ).
tcf(c_215287,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xn,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215133,c_209639,c_209473]) ).
tcf(c_215292,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xn,xn),X0) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215134,c_209639,c_209473]) ).
tcf(c_215483,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209635,c_95]) ).
tcf(c_215484,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK2) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_68,c_95]) ).
tcf(c_215485,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK3) != xn ) ),
inference(superposition,[status(thm)],[c_71,c_95]) ).
tcf(c_215486,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != xn ) ),
inference(superposition,[status(thm)],[c_74,c_95]) ).
tcf(c_215487,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtasdt0(X0,sdtasdt0(xq,xq)) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209637,c_95]) ).
tcf(c_215489,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(superposition,[status(thm)],[c_209380,c_95]) ).
tcf(c_215491,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(superposition,[status(thm)],[c_209378,c_95]) ).
tcf(c_215492,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK3) != sz00 ) ),
inference(superposition,[status(thm)],[c_209377,c_95]) ).
tcf(c_215493,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK2) != sz00 ) ),
inference(superposition,[status(thm)],[c_209376,c_95]) ).
tcf(c_215494,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_209375,c_95]) ).
tcf(c_215495,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_209374,c_95]) ).
tcf(c_215496,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_209373,c_95]) ).
tcf(c_215503,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(superposition,[status(thm)],[c_209409,c_95]) ).
tcf(c_215504,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(superposition,[status(thm)],[c_209410,c_95]) ).
tcf(c_215505,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(superposition,[status(thm)],[c_209411,c_95]) ).
tcf(c_215506,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK2 ) ),
inference(superposition,[status(thm)],[c_209412,c_95]) ).
tcf(c_215507,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK3 ) ),
inference(superposition,[status(thm)],[c_209413,c_95]) ).
tcf(c_215508,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xq ) ),
inference(superposition,[status(thm)],[c_209414,c_95]) ).
tcf(c_215509,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_209416,c_95]) ).
tcf(c_215510,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_209421,c_95]) ).
tcf(c_215511,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_209422,c_95]) ).
tcf(c_215512,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_209423,c_95]) ).
tcf(c_215513,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK2) != sK2 ) ),
inference(superposition,[status(thm)],[c_209424,c_95]) ).
tcf(c_215514,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK3) != sK3 ) ),
inference(superposition,[status(thm)],[c_209425,c_95]) ).
tcf(c_215515,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != xq ) ),
inference(superposition,[status(thm)],[c_209426,c_95]) ).
tcf(c_215516,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(X0,sdtasdt0(xn,xn)) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209542,c_95]) ).
tcf(c_215517,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209543,c_95]) ).
tcf(c_215518,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_209546,c_95]) ).
tcf(c_215520,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK7(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xn,xn))
| ( sdtasdt0(X0,sK7(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_210499,c_95]) ).
tcf(c_215521,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK7(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,xm))
| ( sdtasdt0(X0,sK7(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_210498,c_95]) ).
tcf(c_215522,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK7(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xm))
| ( sdtasdt0(X0,sK7(sz10,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_210505,c_95]) ).
tcf(c_215523,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_212487,c_95]) ).
tcf(c_215524,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_212488,c_95]) ).
tcf(c_215525,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(X0,sdtasdt0(xn,xn)) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_209638,c_95]) ).
tcf(c_215526,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK7(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sK7(xm,sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_210515,c_95]) ).
tcf(c_215527,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ( sdtasdt0(X0,sK7(sz10,sK8(xn,xm))) != sK8(xn,xm) ) ),
inference(superposition,[status(thm)],[c_214033,c_95]) ).
tcf(c_215529,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215509,c_115,c_114]) ).
tcf(c_215533,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215483,c_53,c_50]) ).
tcf(c_215537,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215515,c_73,c_114]) ).
tcf(c_215542,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK3) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215514,c_70,c_114]) ).
tcf(c_215547,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK2) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215513,c_67,c_114]) ).
tcf(c_215552,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215512,c_54,c_114,c_51]) ).
tcf(c_215556,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215511,c_53,c_114,c_50]) ).
tcf(c_215560,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215510,c_52,c_114,c_49]) ).
tcf(c_215564,plain,
! [X0: $i] :
( ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215508,c_115,c_73,c_114]) ).
tcf(c_215568,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215507,c_115,c_70,c_114]) ).
tcf(c_215572,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215506,c_115,c_67,c_114]) ).
tcf(c_215576,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215505,c_115,c_114,c_51]) ).
tcf(c_215580,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215504,c_115,c_114,c_50]) ).
tcf(c_215584,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215503,c_115,c_114,c_49]) ).
tcf(c_215588,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215496,c_52,c_100,c_49]) ).
tcf(c_215592,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215495,c_53,c_100,c_50]) ).
tcf(c_215596,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215494,c_54,c_100,c_51]) ).
tcf(c_215600,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK2) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215493,c_67,c_100]) ).
tcf(c_215605,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK3) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215492,c_70,c_100]) ).
tcf(c_215610,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215491,c_73,c_100]) ).
tcf(c_215615,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215489,c_115,c_114,c_100]) ).
tcf(c_215619,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xq) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215486,c_73,c_51]) ).
tcf(c_215624,plain,
! [X0: $i] :
( ( sz00 = sK3 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK3) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215485,c_70,c_51]) ).
tcf(c_215629,plain,
! [X0: $i] :
( ( sz00 = sK2 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK2) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215484,c_67,c_51]) ).
tcf(c_215634,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK7(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xm))
| ( sdtasdt0(X0,sK7(sz10,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215522,c_114]) ).
tcf(c_215640,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK7(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,xm))
| ( sdtasdt0(X0,sK7(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215521,c_50]) ).
tcf(c_215646,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK7(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xn,xn))
| ( sdtasdt0(X0,sK7(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215520,c_49]) ).
tcf(c_215652,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215518,c_209639,c_100,c_209473]) ).
tcf(c_215656,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215517,c_115,c_114,c_209473]) ).
tcf(c_215660,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xn)) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215525,c_209639,c_51,c_209473]) ).
tcf(c_215664,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xn)) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215516,c_209639,c_114,c_209473]) ).
tcf(c_215668,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ( sdtasdt0(X0,sdtasdt0(xq,xq)) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215487,c_51]) ).
tcf(c_215674,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ( sdtasdt0(X0,sK7(sz10,sK8(xn,xm))) != sK8(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215527,c_114]) ).
tcf(c_215680,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK7(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sK7(xm,sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215526,c_50]) ).
tcf(c_215686,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215523,c_209473]) ).
tcf(c_215692,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) != sdtasdt0(xn,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215524,c_209473]) ).
tcf(c_215911,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK7(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sz10))
| ( sdtasdt0(X0,sK7(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_210493,c_95]) ).
tcf(c_215913,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK7(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_210493,c_94]) ).
tcf(c_215914,plain,
! [X0: $i] :
( ( sK7(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215913,c_115,c_114]) ).
tcf(c_215919,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK7(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sz10))
| ( sdtasdt0(X0,sK7(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215911,c_114]) ).
tcf(c_215932,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK7(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xq,xq))
| ( sdtasdt0(X0,sK7(xq,xq)) != xq ) ),
inference(superposition,[status(thm)],[c_210494,c_95]) ).
tcf(c_215934,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK7(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xq,xq))
| ( sdtasdt0(xq,X0) != xq ) ),
inference(superposition,[status(thm)],[c_210494,c_94]) ).
tcf(c_215935,plain,
! [X0: $i] :
( ( sz00 = xq )
| ( sK7(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xq,xq))
| ( sdtasdt0(xq,X0) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215934,c_73]) ).
tcf(c_215941,plain,
! [X0: $i] :
( ( X0 = xq )
| ( sK7(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xq,xq))
| ( sdtasdt0(X0,sK7(xq,xq)) != xq ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215932,c_73]) ).
tcf(c_215958,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X1,sK8(xn,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214789,c_139]) ).
tcf(c_215960,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sK8(xn,xm)),sK8(sdtpldt0(X0,sK8(xn,xm)),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214789,c_144]) ).
tcf(c_215961,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm)))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214789,c_140]) ).
tcf(c_215962,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sK8(xn,xm)),xm)
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214789,c_116]) ).
tcf(c_215963,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X1,sK8(xn,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215958,c_50]) ).
tcf(c_215972,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sK8(xn,xm)),xm)
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215962,c_50]) ).
tcf(c_215980,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm)))
| ~ sdtlseqdt0(xm,sdtpldt0(X0,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215961,c_50]) ).
tcf(c_215988,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sK8(xn,xm)),sK8(sdtpldt0(X0,sK8(xn,xm)),xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_215960,c_50]) ).
tcf(c_216009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK8(xn,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214801,c_139]) ).
tcf(c_216011,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xm,sK8(xm,sdtpldt0(X0,sK8(xn,xm)))) = sdtpldt0(X0,sK8(xn,xm)) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214801,c_144]) ).
tcf(c_216012,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK8(xn,xm)),xm) ),
inference(superposition,[status(thm)],[c_214801,c_140]) ).
tcf(c_216013,plain,
! [X0: $i] :
( iLess0(xm,sdtpldt0(X0,sK8(xn,xm)))
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214801,c_116]) ).
tcf(c_216014,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(xn,xm)))
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214801,c_211540]) ).
tcf(c_216022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK8(xn,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216009,c_50]) ).
tcf(c_216031,plain,
! [X0: $i] :
( iLess0(xm,sdtpldt0(X0,sK8(xn,xm)))
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216013,c_50]) ).
tcf(c_216039,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xm)) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK8(xn,xm)),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216012,c_50]) ).
tcf(c_216047,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xm,sK8(xm,sdtpldt0(X0,sK8(xn,xm)))) = sdtpldt0(X0,sK8(xn,xm)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216011,c_50]) ).
tcf(c_216065,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xm)
| ( sK8(xn,xm) = sz10 )
| ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_111,c_214355]) ).
tcf(c_216067,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xm),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xm)
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_138,c_214355]) ).
tcf(c_216068,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xm)
| ( sK8(xn,xm) = xn )
| ( sdtpldt0(sK8(xn,xm),sK8(sK8(xn,xm),xm)) = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_211545,c_214355]) ).
tcf(c_216069,plain,
( sdtlseqdt0(sK8(xn,xm),xm)
| sdtlseqdt0(sdtpldt0(xn,xn),xm)
| ( sK8(xn,xm) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_211433,c_214355]) ).
tcf(c_216070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xm)
| ( sK8(xn,xm) = sz00 )
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_212844,c_214355]) ).
tcf(c_216071,plain,
( sdtlseqdt0(sK8(xn,xm),xm)
| sdtlseqdt0(sdtpldt0(xn,xn),xm)
| ( sK8(xn,xm) = xn )
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216069,c_49]) ).
tcf(c_216081,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xm)
| ( sK8(xn,xm) = sz10 )
| ( sK8(xn,xm) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216065,c_114]) ).
tcf(c_216086,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xm)
| ( sK8(xn,xm) = xn )
| ( sdtpldt0(sK8(xn,xm),sK8(sK8(xn,xm),xm)) = xm )
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216068,c_49]) ).
tcf(c_216162,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xn,sdtasdt0(sK8(xn,xm),X0)))
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xm),X0) = sK8(xn,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(sK8(xn,xm),X0)) ),
inference(superposition,[status(thm)],[c_86,c_214372]) ).
tcf(c_216164,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xn,X0))
| sdtlseqdt0(X0,sK8(xn,xm))
| ( sK8(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_138,c_214372]) ).
tcf(c_216165,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xn,sdtpldt0(sK8(xn,xm),X0)))
| ( sdtpldt0(sK8(xn,xm),X0) = sK8(xn,xm) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(sK8(xn,xm),X0)) ),
inference(superposition,[status(thm)],[c_207,c_214372]) ).
tcf(c_216166,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| ( sK8(xn,xm) = xm )
| ( sdtpldt0(xn,sK8(xn,sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_211554,c_214372]) ).
tcf(c_216167,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| sdtlseqdt0(xn,sK8(xn,xm))
| ( sK8(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(superposition,[status(thm)],[c_211433,c_214372]) ).
tcf(c_216169,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| sdtlseqdt0(xn,sK8(xn,xm))
| ( sK8(xn,xm) = xm )
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216167,c_50]) ).
tcf(c_216179,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| ( sK8(xn,xm) = xm )
| ( sdtpldt0(xn,sK8(xn,sK8(xn,xm))) = sK8(xn,xm) )
| ~ aNaturalNumber0(sK8(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216166,c_50]) ).
tcf(c_216261,plain,
( doDivides0(xp,xm)
| ~ isPrime0(xp)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_69,c_213847]) ).
tcf(c_216262,plain,
( doDivides0(sK5(sdtasdt0(xn,xn)),xm)
| ( sdtasdt0(xn,xn) = sz10 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ isPrime0(sK5(sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(sK5(sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_102,c_213847]) ).
tcf(c_216263,plain,
( isPrime0(sdtasdt0(xn,xn))
| doDivides0(sK6(sdtasdt0(xn,xn)),xm)
| ( sdtasdt0(xn,xn) = sz10 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ isPrime0(sK6(sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_107,c_213847]) ).
tcf(c_216264,plain,
( doDivides0(xn,xm)
| ~ isPrime0(xn)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_210,c_213847]) ).
tcf(c_216266,plain,
( doDivides0(sdtasdt0(xn,xn),xm)
| ~ isPrime0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_210306,c_213847]) ).
tcf(c_216268,plain,
( doDivides0(xn,xm)
| ~ isPrime0(xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216264,c_49]) ).
tcf(c_216271,plain,
doDivides0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_216261,c_66,c_51]) ).
tcf(c_216272,plain,
( doDivides0(sdtasdt0(xn,xn),xm)
| ~ isPrime0(sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216266,c_209473]) ).
tcf(c_216275,plain,
( doDivides0(sK5(sdtasdt0(xn,xn)),xm)
| ( sdtasdt0(xn,xn) = sz10 )
| ~ isPrime0(sK5(sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(sK5(sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216262,c_209639,c_209473]) ).
tcf(c_216280,plain,
( isPrime0(sdtasdt0(xn,xn))
| doDivides0(sK6(sdtasdt0(xn,xn)),xm)
| ( sdtasdt0(xn,xn) = sz10 )
| ~ isPrime0(sK6(sdtasdt0(xn,xn)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216263,c_209639,c_209473]) ).
tcf(c_216294,plain,
( ( xm = sz10 )
| ~ aNaturalNumber0(sz10)
| ( sdtasdt0(xn,xn) != xm ) ),
inference(superposition,[status(thm)],[c_209410,c_215143]) ).
tcf(c_216295,plain,
( ( sK7(xm,xm) = xm )
| ~ aNaturalNumber0(sK7(xm,xm))
| ( sdtasdt0(xn,xn) != xm ) ),
inference(superposition,[status(thm)],[c_210498,c_215143]) ).
tcf(c_216296,plain,
( ( sK7(xm,sdtasdt0(xn,xn)) = xm )
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210515,c_215143]) ).
tcf(c_216297,plain,
( ( xm = sz10 )
| ( sdtasdt0(xn,xn) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216294,c_114]) ).
tcf(c_216305,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK7(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK7(sz10,xn)) ),
inference(superposition,[status(thm)],[c_210506,c_128]) ).
tcf(c_216312,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK7(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xn))
| ( sdtasdt0(X0,sK7(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_210506,c_95]) ).
tcf(c_216314,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK7(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_210506,c_94]) ).
tcf(c_216315,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK7(sz10,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK7(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216305,c_114]) ).
tcf(c_216322,plain,
! [X0: $i] :
( ( sK7(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216314,c_115,c_114]) ).
tcf(c_216327,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK7(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xn))
| ( sdtasdt0(X0,sK7(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216312,c_114]) ).
tcf(c_216347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_209635,c_88]) ).
tcf(c_216348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_68,c_88]) ).
tcf(c_216349,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(superposition,[status(thm)],[c_71,c_88]) ).
tcf(c_216350,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_74,c_88]) ).
tcf(c_216351,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_209637,c_88]) ).
tcf(c_216352,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209368,c_88]) ).
tcf(c_216361,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209361,c_88]) ).
tcf(c_216362,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209362,c_88]) ).
tcf(c_216363,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209363,c_88]) ).
tcf(c_216364,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2,X0))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209364,c_88]) ).
tcf(c_216365,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK3,X0))
| ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209365,c_88]) ).
tcf(c_216366,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209366,c_88]) ).
tcf(c_216367,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209409,c_88]) ).
tcf(c_216368,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209410,c_88]) ).
tcf(c_216369,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209411,c_88]) ).
tcf(c_216370,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtasdt0(sK2,X0))
| ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209412,c_88]) ).
tcf(c_216371,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtasdt0(sK3,X0))
| ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209413,c_88]) ).
tcf(c_216372,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209414,c_88]) ).
tcf(c_216373,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209416,c_88]) ).
tcf(c_216374,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_209421,c_88]) ).
tcf(c_216375,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_209422,c_88]) ).
tcf(c_216376,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_209423,c_88]) ).
tcf(c_216377,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_209424,c_88]) ).
tcf(c_216378,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(superposition,[status(thm)],[c_209425,c_88]) ).
tcf(c_216379,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_209426,c_88]) ).
tcf(c_216380,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_209542,c_88]) ).
tcf(c_216381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(sdtasdt0(xn,xn),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209543,c_88]) ).
tcf(c_216383,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209547,c_88]) ).
tcf(c_216384,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK7(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xn,xn))
| ~ sdtlseqdt0(sK7(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_210499,c_88]) ).
tcf(c_216385,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK7(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,xm))
| ~ sdtlseqdt0(sK7(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_210498,c_88]) ).
tcf(c_216386,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK7(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xn))
| ~ sdtlseqdt0(sK7(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_210506,c_88]) ).
tcf(c_216387,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK7(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xm))
| ~ sdtlseqdt0(sK7(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_210505,c_88]) ).
tcf(c_216388,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK7(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xq,xq))
| ~ sdtlseqdt0(sK7(xq,xq),X0) ),
inference(superposition,[status(thm)],[c_210494,c_88]) ).
tcf(c_216389,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK7(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sz10))
| ~ sdtlseqdt0(sK7(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_210493,c_88]) ).
tcf(c_216390,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xn),X0))
| ( sdtasdt0(xn,xn) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtasdt0(xn,xn)),X0) ),
inference(superposition,[status(thm)],[c_212487,c_88]) ).
tcf(c_216391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(sdtasdt0(xn,xn),X0))
| ( sdtasdt0(xn,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)),X0) ),
inference(superposition,[status(thm)],[c_212488,c_88]) ).
tcf(c_216392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_209638,c_88]) ).
tcf(c_216393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK7(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sK7(xm,sdtasdt0(xn,xn)),X0) ),
inference(superposition,[status(thm)],[c_210515,c_88]) ).
tcf(c_216394,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ~ sdtlseqdt0(sK7(sz10,sK8(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_214033,c_88]) ).
tcf(c_216395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xn))
| ( xm = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_209635,c_88]) ).
tcf(c_216396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ( xp = sz00 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_68,c_88]) ).
tcf(c_216397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ( xp = sz00 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(superposition,[status(thm)],[c_71,c_88]) ).
tcf(c_216398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ( xp = sz00 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_74,c_88]) ).
tcf(c_216399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ( xp = sz00 )
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_209637,c_88]) ).
tcf(c_216400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209368,c_88]) ).
tcf(c_216409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209361,c_88]) ).
tcf(c_216410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209362,c_88]) ).
tcf(c_216411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209363,c_88]) ).
tcf(c_216412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sz00)
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209364,c_88]) ).
tcf(c_216413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK3,X0),sz00)
| ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209365,c_88]) ).
tcf(c_216414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209366,c_88]) ).
tcf(c_216415,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209409,c_88]) ).
tcf(c_216416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209410,c_88]) ).
tcf(c_216417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209411,c_88]) ).
tcf(c_216418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sK2)
| ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209412,c_88]) ).
tcf(c_216419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK3,X0),sK3)
| ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209413,c_88]) ).
tcf(c_216420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),xq)
| ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209414,c_88]) ).
tcf(c_216421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209416,c_88]) ).
tcf(c_216422,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_209421,c_88]) ).
tcf(c_216423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_209422,c_88]) ).
tcf(c_216424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_209423,c_88]) ).
tcf(c_216425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK2)
| ( sz00 = sz10 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_209424,c_88]) ).
tcf(c_216426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK3)
| ( sz00 = sz10 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(superposition,[status(thm)],[c_209425,c_88]) ).
tcf(c_216427,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xq)
| ( sz00 = sz10 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_209426,c_88]) ).
tcf(c_216428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xn))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209542,c_88]) ).
tcf(c_216429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209543,c_88]) ).
tcf(c_216431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209547,c_88]) ).
tcf(c_216432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( sK7(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xn,xn))
| ~ sdtlseqdt0(X0,sK7(xn,xn)) ),
inference(superposition,[status(thm)],[c_210499,c_88]) ).
tcf(c_216433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sK7(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,xm))
| ~ sdtlseqdt0(X0,sK7(xm,xm)) ),
inference(superposition,[status(thm)],[c_210498,c_88]) ).
tcf(c_216434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( sK7(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xn))
| ~ sdtlseqdt0(X0,sK7(sz10,xn)) ),
inference(superposition,[status(thm)],[c_210506,c_88]) ).
tcf(c_216435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( sK7(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xm))
| ~ sdtlseqdt0(X0,sK7(sz10,xm)) ),
inference(superposition,[status(thm)],[c_210505,c_88]) ).
tcf(c_216436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),xq)
| ( sz00 = xq )
| ( sK7(xq,xq) = X0 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xq,xq))
| ~ sdtlseqdt0(X0,sK7(xq,xq)) ),
inference(superposition,[status(thm)],[c_210494,c_88]) ).
tcf(c_216437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( sK7(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sz10))
| ~ sdtlseqdt0(X0,sK7(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_210493,c_88]) ).
tcf(c_216438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sz00)
| ( sdtasdt0(xn,xn) = sz00 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212487,c_88]) ).
tcf(c_216439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212488,c_88]) ).
tcf(c_216440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ( xp = sz00 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209638,c_88]) ).
tcf(c_216441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xn))
| ( xm = sz00 )
| ( sK7(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sK7(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210515,c_88]) ).
tcf(c_216442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK8(xn,xm))
| ( sz00 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ~ sdtlseqdt0(X0,sK7(sz10,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214033,c_88]) ).
tcf(c_216443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtasdt0(X1,X3))
| ( X2 = X3 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(sdtasdt0(X1,X3))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_88,c_139]) ).
tcf(c_216444,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),xm)
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_88,c_211558]) ).
tcf(c_216445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK8(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_88,c_144]) ).
tcf(c_216446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(superposition,[status(thm)],[c_88,c_140]) ).
tcf(c_216447,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_88,c_116]) ).
tcf(c_216448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216421,c_115,c_114]) ).
tcf(c_216453,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216373,c_115,c_114]) ).
tcf(c_216458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216395,c_53,c_50]) ).
tcf(c_216463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216347,c_53,c_50]) ).
tcf(c_216468,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216427,c_115,c_73,c_114]) ).
tcf(c_216473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK3)
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216426,c_115,c_70,c_114]) ).
tcf(c_216478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216425,c_115,c_67,c_114]) ).
tcf(c_216483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216424,c_115,c_114,c_51]) ).
tcf(c_216488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216423,c_115,c_114,c_50]) ).
tcf(c_216493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216422,c_115,c_114,c_49]) ).
tcf(c_216498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),xq)
| ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216420,c_73,c_114]) ).
tcf(c_216504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK3,X0),sK3)
| ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216419,c_70,c_114]) ).
tcf(c_216510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sK2)
| ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216418,c_67,c_114]) ).
tcf(c_216516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216417,c_54,c_114,c_51]) ).
tcf(c_216521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216416,c_53,c_114,c_50]) ).
tcf(c_216526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216415,c_52,c_114,c_49]) ).
tcf(c_216531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216414,c_73,c_100]) ).
tcf(c_216537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK3,X0),sz00)
| ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216413,c_70,c_100]) ).
tcf(c_216543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sz00)
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216412,c_67,c_100]) ).
tcf(c_216549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216411,c_54,c_100,c_51]) ).
tcf(c_216554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216410,c_53,c_100,c_50]) ).
tcf(c_216559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216409,c_52,c_100,c_49]) ).
tcf(c_216564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216400,c_115,c_114,c_100]) ).
tcf(c_216569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216398,c_54,c_73,c_51]) ).
tcf(c_216574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xn)
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216397,c_54,c_70,c_51]) ).
tcf(c_216579,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(sz10,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216379,c_115,c_73,c_114]) ).
tcf(c_216584,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtasdt0(sz10,X0))
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216378,c_115,c_70,c_114]) ).
tcf(c_216589,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtasdt0(sz10,X0))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216377,c_115,c_67,c_114]) ).
tcf(c_216594,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216376,c_115,c_114,c_51]) ).
tcf(c_216599,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216375,c_115,c_114,c_50]) ).
tcf(c_216604,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216374,c_115,c_114,c_49]) ).
tcf(c_216609,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216372,c_73,c_114]) ).
tcf(c_216615,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtasdt0(sK3,X0))
| ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216371,c_70,c_114]) ).
tcf(c_216621,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtasdt0(sK2,X0))
| ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216370,c_67,c_114]) ).
tcf(c_216627,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216369,c_54,c_114,c_51]) ).
tcf(c_216632,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216368,c_53,c_114,c_50]) ).
tcf(c_216637,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216367,c_52,c_114,c_49]) ).
tcf(c_216642,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216366,c_73,c_100]) ).
tcf(c_216648,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK3,X0))
| ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216365,c_70,c_100]) ).
tcf(c_216654,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2,X0))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216364,c_67,c_100]) ).
tcf(c_216660,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216363,c_54,c_100,c_51]) ).
tcf(c_216665,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216362,c_53,c_100,c_50]) ).
tcf(c_216670,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216361,c_52,c_100,c_49]) ).
tcf(c_216675,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216352,c_115,c_114,c_100]) ).
tcf(c_216680,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216350,c_54,c_73,c_51]) ).
tcf(c_216685,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xp,X0))
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216349,c_54,c_70,c_51]) ).
tcf(c_216690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216396,c_54,c_67,c_51]) ).
tcf(c_216695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216348,c_54,c_67,c_51]) ).
tcf(c_216700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sK7(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sz10))
| ~ sdtlseqdt0(X0,sK7(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216437,c_115,c_114]) ).
tcf(c_216706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xq,X0),xq)
| ( sz00 = xq )
| ( sK7(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xq,xq))
| ~ sdtlseqdt0(X0,sK7(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216436,c_73]) ).
tcf(c_216713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sK7(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xm))
| ~ sdtlseqdt0(X0,sK7(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216435,c_115,c_114]) ).
tcf(c_216719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sK7(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xn))
| ~ sdtlseqdt0(X0,sK7(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216434,c_115,c_114]) ).
tcf(c_216725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( sK7(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,xm))
| ~ sdtlseqdt0(X0,sK7(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216433,c_53,c_50]) ).
tcf(c_216731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( sK7(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xn,xn))
| ~ sdtlseqdt0(X0,sK7(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216432,c_52,c_49]) ).
tcf(c_216737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216431,c_209639,c_100,c_209473]) ).
tcf(c_216742,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sK7(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sz10))
| ~ sdtlseqdt0(sK7(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216389,c_115,c_114]) ).
tcf(c_216748,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(xq,X0))
| ( sz00 = xq )
| ( sK7(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xq,xq))
| ~ sdtlseqdt0(sK7(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216388,c_73]) ).
tcf(c_216755,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sK7(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xm))
| ~ sdtlseqdt0(sK7(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216387,c_115,c_114]) ).
tcf(c_216761,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sK7(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,xn))
| ~ sdtlseqdt0(sK7(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216386,c_115,c_114]) ).
tcf(c_216767,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( sK7(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,xm))
| ~ sdtlseqdt0(sK7(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216385,c_53,c_50]) ).
tcf(c_216773,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( sK7(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xn,xn))
| ~ sdtlseqdt0(sK7(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216384,c_52,c_49]) ).
tcf(c_216779,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216383,c_209639,c_100,c_209473]) ).
tcf(c_216784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216440,c_54,c_51,c_209473]) ).
tcf(c_216789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216429,c_209639,c_114,c_209473]) ).
tcf(c_216794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216428,c_115,c_114,c_209473]) ).
tcf(c_216799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xn))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(X0,sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216399,c_54,c_51]) ).
tcf(c_216805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216392,c_54,c_51,c_209473]) ).
tcf(c_216810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(sdtasdt0(xn,xn),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216381,c_209639,c_114,c_209473]) ).
tcf(c_216815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(sz10,X0))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216380,c_115,c_114,c_209473]) ).
tcf(c_216820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X0))
| ( sdtasdt0(xq,xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ sdtlseqdt0(sdtasdt0(xq,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216351,c_54,c_51]) ).
tcf(c_216826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK8(xn,xm))
| ( sK7(sz10,sK8(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ~ sdtlseqdt0(X0,sK7(sz10,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216442,c_115,c_114]) ).
tcf(c_216832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xn))
| ( sK7(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sK7(xm,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216441,c_53,c_50]) ).
tcf(c_216838,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xm),sdtasdt0(sz10,X0))
| ( sK7(sz10,sK8(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm)))
| ~ sdtlseqdt0(sK7(sz10,sK8(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216394,c_115,c_114]) ).
tcf(c_216844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,X0))
| ( sK7(xm,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sK7(xm,sdtasdt0(xn,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216393,c_53,c_50]) ).
tcf(c_216860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sz00)
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216438,c_209639,c_209473]) ).
tcf(c_216866,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xn),X0))
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sdtsldt0(sz00,sdtasdt0(xn,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216390,c_209639,c_209473]) ).
tcf(c_216912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn))
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(X0,sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216439,c_209639,c_209473]) ).
tcf(c_216918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(sdtasdt0(xn,xn),X0))
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)))
| ~ sdtlseqdt0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_216391,c_209639,c_209473]) ).
tcf(c_217105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_209635,c_90]) ).
tcf(c_217106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sK2))
| ( sz00 = sK2 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_68,c_90]) ).
tcf(c_217107,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK3))
| ( sz00 = sK3 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_71,c_90]) ).
tcf(c_217108,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_74,c_90]) ).
tcf(c_217109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xq,xq)))
| ( X0 = xp )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_209637,c_90]) ).
tcf(c_217111,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209380,c_90]) ).
tcf(c_217113,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209378,c_90]) ).
tcf(c_217114,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3))
| ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209377,c_90]) ).
tcf(c_217115,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK2))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209376,c_90]) ).
tcf(c_217116,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209375,c_90]) ).
tcf(c_217117,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209374,c_90]) ).
tcf(c_217118,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_209373,c_90]) ).
tcf(c_217125,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_209409,c_90]) ).
tcf(c_217126,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_209410,c_90]) ).
tcf(c_217127,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_209411,c_90]) ).
tcf(c_217128,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(superposition,[status(thm)],[c_209412,c_90]) ).
tcf(c_217129,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(superposition,[status(thm)],[c_209413,c_90]) ).
tcf(c_217130,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(superposition,[status(thm)],[c_209414,c_90]) ).
tcf(c_217131,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209416,c_90]) ).
tcf(c_217132,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209421,c_90]) ).
tcf(c_217133,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209422,c_90]) ).
tcf(c_217134,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,xp))
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209423,c_90]) ).
tcf(c_217135,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtasdt0(X0,sK2))
| ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209424,c_90]) ).
tcf(c_217136,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtasdt0(X0,sK3))
| ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209425,c_90]) ).
tcf(c_217137,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_209426,c_90]) ).
tcf(c_217138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xn,xn)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209542,c_90]) ).
tcf(c_217139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_209543,c_90]) ).
tcf(c_217140,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209546,c_90]) ).
tcf(c_217142,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK7(xn,xn)))
| ( X0 = xn )
| ( sK7(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK7(xn,xn)) ),
inference(superposition,[status(thm)],[c_210499,c_90]) ).
tcf(c_217143,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK7(xm,xm)))
| ( X0 = xm )
| ( sK7(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK7(xm,xm)) ),
inference(superposition,[status(thm)],[c_210498,c_90]) ).
tcf(c_217144,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK7(sz10,xn)))
| ( X0 = sz10 )
| ( sK7(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK7(sz10,xn)) ),
inference(superposition,[status(thm)],[c_210506,c_90]) ).
tcf(c_217145,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK7(sz10,xm)))
| ( X0 = sz10 )
| ( sK7(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK7(sz10,xm)) ),
inference(superposition,[status(thm)],[c_210505,c_90]) ).
tcf(c_217146,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(X0,sK7(xq,xq)))
| ( X0 = xq )
| ( sK7(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK7(xq,xq)) ),
inference(superposition,[status(thm)],[c_210494,c_90]) ).
tcf(c_217147,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK7(sz10,sz10)))
| ( X0 = sz10 )
| ( sK7(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK7(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_210493,c_90]) ).
tcf(c_217148,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn))))
| ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212487,c_90]) ).
tcf(c_217149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))))
| ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212488,c_90]) ).
tcf(c_217150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xn,xn)))
| ( X0 = xp )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209638,c_90]) ).
tcf(c_217151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sK7(xm,sdtasdt0(xn,xn))))
| ( X0 = xm )
| ( sK7(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210515,c_90]) ).
tcf(c_217152,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xm),sdtasdt0(X0,sK7(sz10,sK8(xn,xm))))
| ( X0 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214033,c_90]) ).
tcf(c_217153,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xn,xn))
| ( xm = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_209635,c_90]) ).
tcf(c_217154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sdtasdt0(xn,xn))
| ( sz00 = sK2 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_68,c_90]) ).
tcf(c_217155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3),xn)
| ( sz00 = sK3 )
| ( X0 = xp )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_71,c_90]) ).
tcf(c_217156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),xn)
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_74,c_90]) ).
tcf(c_217157,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sdtasdt0(xn,xn))
| ( X0 = xp )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(superposition,[status(thm)],[c_209637,c_90]) ).
tcf(c_217159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209380,c_90]) ).
tcf(c_217161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209378,c_90]) ).
tcf(c_217162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3),sz00)
| ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209377,c_90]) ).
tcf(c_217163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sz00)
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209376,c_90]) ).
tcf(c_217164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209375,c_90]) ).
tcf(c_217165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209374,c_90]) ).
tcf(c_217166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_209373,c_90]) ).
tcf(c_217173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_209409,c_90]) ).
tcf(c_217174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_209410,c_90]) ).
tcf(c_217175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xp)
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_209411,c_90]) ).
tcf(c_217176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK2)
| ( sz00 = sz10 )
| ( X0 = sK2 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(superposition,[status(thm)],[c_209412,c_90]) ).
tcf(c_217177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK3)
| ( sz00 = sz10 )
| ( X0 = sK3 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(superposition,[status(thm)],[c_209413,c_90]) ).
tcf(c_217178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xq)
| ( sz00 = sz10 )
| ( X0 = xq )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(superposition,[status(thm)],[c_209414,c_90]) ).
tcf(c_217179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209416,c_90]) ).
tcf(c_217180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209421,c_90]) ).
tcf(c_217181,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209422,c_90]) ).
tcf(c_217182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xp)
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209423,c_90]) ).
tcf(c_217183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sK2)
| ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209424,c_90]) ).
tcf(c_217184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3),sK3)
| ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209425,c_90]) ).
tcf(c_217185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),xq)
| ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_209426,c_90]) ).
tcf(c_217186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xn)),sdtasdt0(xn,xn))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209542,c_90]) ).
tcf(c_217187,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xn))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209543,c_90]) ).
tcf(c_217188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209546,c_90]) ).
tcf(c_217190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xn,xn)),xn)
| ( X0 = xn )
| ( sK7(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK7(xn,xn)) ),
inference(superposition,[status(thm)],[c_210499,c_90]) ).
tcf(c_217191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xm,xm)),xm)
| ( X0 = xm )
| ( sK7(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK7(xm,xm)) ),
inference(superposition,[status(thm)],[c_210498,c_90]) ).
tcf(c_217192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK7(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK7(sz10,xn)) ),
inference(superposition,[status(thm)],[c_210506,c_90]) ).
tcf(c_217193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK7(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK7(sz10,xm)) ),
inference(superposition,[status(thm)],[c_210505,c_90]) ).
tcf(c_217194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xq,xq)),xq)
| ( X0 = xq )
| ( sK7(xq,xq) = sz00 )
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK7(xq,xq)) ),
inference(superposition,[status(thm)],[c_210494,c_90]) ).
tcf(c_217195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK7(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK7(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_210493,c_90]) ).
tcf(c_217196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn))),sz00)
| ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212487,c_90]) ).
tcf(c_217197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_212488,c_90]) ).
tcf(c_217198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xn)),sdtasdt0(xn,xn))
| ( X0 = xp )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_209638,c_90]) ).
tcf(c_217199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xm,sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( X0 = xm )
| ( sK7(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn))) ),
inference(superposition,[status(thm)],[c_210515,c_90]) ).
tcf(c_217200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sz10,sK8(xn,xm))),sK8(xn,xm))
| ( X0 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(superposition,[status(thm)],[c_214033,c_90]) ).
tcf(c_217201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,sdtasdt0(X3,X2))
| ( X2 = sz00 )
| ( X1 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(sdtasdt0(X3,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_90,c_139]) ).
tcf(c_217202,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),xm)
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_211558]) ).
tcf(c_217203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK8(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_144]) ).
tcf(c_217204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)) ),
inference(superposition,[status(thm)],[c_90,c_140]) ).
tcf(c_217205,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_90,c_116]) ).
tcf(c_217206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217179,c_115,c_114]) ).
tcf(c_217211,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217131,c_115,c_114]) ).
tcf(c_217216,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xn,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217153,c_53,c_50]) ).
tcf(c_217221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217105,c_53,c_50]) ).
tcf(c_217226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),xq)
| ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217185,c_73,c_114]) ).
tcf(c_217232,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3),sK3)
| ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217184,c_70,c_114]) ).
tcf(c_217238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sK2)
| ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217183,c_67,c_114]) ).
tcf(c_217244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217182,c_54,c_114,c_51]) ).
tcf(c_217249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217181,c_53,c_114,c_50]) ).
tcf(c_217254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217180,c_52,c_114,c_49]) ).
tcf(c_217259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xq)
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217178,c_115,c_73,c_114]) ).
tcf(c_217264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK3)
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217177,c_115,c_70,c_114]) ).
tcf(c_217269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK2)
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217176,c_115,c_67,c_114]) ).
tcf(c_217274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217175,c_115,c_114,c_51]) ).
tcf(c_217279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217174,c_115,c_114,c_50]) ).
tcf(c_217284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217173,c_115,c_114,c_49]) ).
tcf(c_217289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217166,c_52,c_100,c_49]) ).
tcf(c_217294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217165,c_53,c_100,c_50]) ).
tcf(c_217299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217164,c_54,c_100,c_51]) ).
tcf(c_217304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sz00)
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217163,c_67,c_100]) ).
tcf(c_217310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3),sz00)
| ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217162,c_70,c_100]) ).
tcf(c_217316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),sz00)
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217161,c_73,c_100]) ).
tcf(c_217322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217159,c_115,c_114,c_100]) ).
tcf(c_217327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xq),xn)
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217156,c_73,c_51]) ).
tcf(c_217333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3),xn)
| ( sz00 = sK3 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217155,c_70,c_51]) ).
tcf(c_217339,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217137,c_73,c_114]) ).
tcf(c_217345,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtasdt0(X0,sK3))
| ( sz00 = sK3 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217136,c_70,c_114]) ).
tcf(c_217351,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtasdt0(X0,sK2))
| ( sz00 = sK2 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217135,c_67,c_114]) ).
tcf(c_217357,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217134,c_54,c_114,c_51]) ).
tcf(c_217362,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217133,c_53,c_114,c_50]) ).
tcf(c_217367,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217132,c_52,c_114,c_49]) ).
tcf(c_217372,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(X0,sz10))
| ( X0 = xq )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217130,c_115,c_73,c_114]) ).
tcf(c_217377,plain,
! [X0: $i] :
( sdtlseqdt0(sK3,sdtasdt0(X0,sz10))
| ( X0 = sK3 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217129,c_115,c_70,c_114]) ).
tcf(c_217382,plain,
! [X0: $i] :
( sdtlseqdt0(sK2,sdtasdt0(X0,sz10))
| ( X0 = sK2 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217128,c_115,c_67,c_114]) ).
tcf(c_217387,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217127,c_115,c_114,c_51]) ).
tcf(c_217392,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217126,c_115,c_114,c_50]) ).
tcf(c_217397,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217125,c_115,c_114,c_49]) ).
tcf(c_217402,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217118,c_52,c_100,c_49]) ).
tcf(c_217407,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217117,c_53,c_100,c_50]) ).
tcf(c_217412,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217116,c_54,c_100,c_51]) ).
tcf(c_217417,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK2))
| ( sz00 = sK2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217115,c_67,c_100]) ).
tcf(c_217423,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK3))
| ( sz00 = sK3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217114,c_70,c_100]) ).
tcf(c_217429,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217113,c_73,c_100]) ).
tcf(c_217435,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217111,c_115,c_114,c_100]) ).
tcf(c_217440,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xq))
| ( sz00 = xq )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217108,c_73,c_51]) ).
tcf(c_217446,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK3))
| ( sz00 = sK3 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217107,c_70,c_51]) ).
tcf(c_217452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2),sdtasdt0(xn,xn))
| ( sz00 = sK2 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217154,c_67,c_51]) ).
tcf(c_217458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sK2))
| ( sz00 = sK2 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217106,c_67,c_51]) ).
tcf(c_217464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK7(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK7(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217195,c_114]) ).
tcf(c_217471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xq,xq)),xq)
| ( X0 = xq )
| ( sK7(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xq)
| ~ aNaturalNumber0(sK7(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217194,c_73]) ).
tcf(c_217478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK7(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK7(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217193,c_114]) ).
tcf(c_217485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK7(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK7(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217192,c_114]) ).
tcf(c_217492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xm,xm)),xm)
| ( X0 = xm )
| ( sK7(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK7(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217191,c_50]) ).
tcf(c_217499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xn,xn)),xn)
| ( X0 = xn )
| ( sK7(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK7(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217190,c_49]) ).
tcf(c_217506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xn)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217188,c_209639,c_100,c_209473]) ).
tcf(c_217511,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK7(sz10,sz10)))
| ( X0 = sz10 )
| ( sK7(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK7(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217147,c_114]) ).
tcf(c_217518,plain,
! [X0: $i] :
( sdtlseqdt0(xq,sdtasdt0(X0,sK7(xq,xq)))
| ( X0 = xq )
| ( sK7(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xq,X0)
| ~ aNaturalNumber0(sK7(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217146,c_73]) ).
tcf(c_217525,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK7(sz10,xm)))
| ( X0 = sz10 )
| ( sK7(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK7(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217145,c_114]) ).
tcf(c_217532,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK7(sz10,xn)))
| ( X0 = sz10 )
| ( sK7(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK7(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217144,c_114]) ).
tcf(c_217539,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK7(xm,xm)))
| ( X0 = xm )
| ( sK7(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK7(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217143,c_50]) ).
tcf(c_217546,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK7(xn,xn)))
| ( X0 = xn )
| ( sK7(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK7(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217142,c_49]) ).
tcf(c_217553,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217140,c_209639,c_100,c_209473]) ).
tcf(c_217558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xn)),sdtasdt0(xn,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217198,c_209639,c_51,c_209473]) ).
tcf(c_217563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217187,c_115,c_114,c_209473]) ).
tcf(c_217568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xn)),sdtasdt0(xn,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217186,c_209639,c_114,c_209473]) ).
tcf(c_217573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xq,xq)),sdtasdt0(xn,xn))
| ( X0 = xp )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217157,c_51]) ).
tcf(c_217580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xn,xn)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217150,c_209639,c_51,c_209473]) ).
tcf(c_217585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sz10))
| ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217139,c_115,c_114,c_209473]) ).
tcf(c_217590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xn,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217138,c_209639,c_114,c_209473]) ).
tcf(c_217595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtasdt0(xq,xq)))
| ( X0 = xp )
| ( sdtasdt0(xq,xq) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217109,c_51]) ).
tcf(c_217602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sz10,sK8(xn,xm))),sK8(xn,xm))
| ( X0 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217200,c_114]) ).
tcf(c_217609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xm,sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( X0 = xm )
| ( sK7(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217199,c_50]) ).
tcf(c_217616,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xm),sdtasdt0(X0,sK7(sz10,sK8(xn,xm))))
| ( X0 = sz10 )
| ( sK7(sz10,sK8(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK7(sz10,sK8(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217152,c_114]) ).
tcf(c_217623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sK7(xm,sdtasdt0(xn,xn))))
| ( X0 = xm )
| ( sK7(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK7(xm,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217151,c_50]) ).
tcf(c_217640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn))),sz00)
| ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217196,c_209473]) ).
tcf(c_217647,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xn))))
| ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217148,c_209473]) ).
tcf(c_217694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))),sdtasdt0(xn,xn))
| ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217197,c_209473]) ).
tcf(c_217701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))))
| ( sdtasdt0(xn,xn) = X0 )
| ( sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217149,c_209473]) ).
tcf(c_218125,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_217616,c_217602,c_217590,c_217568,c_217202,c_217200,c_217152,c_216838,c_216826,c_216810,c_216789,c_216444,c_216442,c_216394,c_216297,c_216296,c_216295,c_216294,c_216280,c_216275,c_216266,c_216264,c_216263,c_216262,c_216261,c_216179,c_216169,c_216167,c_216166,c_216165,c_216162,c_216164,c_216086,c_216081,c_216071,c_216070,c_216069,c_216068,c_216065,c_216067,c_216047,c_216039,c_216031,c_216022,c_216014,c_216013,c_216012,c_216011,c_216009,c_215988,c_215980,c_215972,c_215963,c_215962,c_215961,c_215960,c_215958,c_215674,c_215664,c_215527,c_215277,c_215273,c_215137,c_214629,c_214195,c_214099,c_214091,c_214085,c_214068,c_214064,c_214060,c_214057,c_214054,c_214053,c_214052,c_214051,c_214049,c_214048,c_214042,c_214037,c_214034,c_214033,c_214032,c_214031,c_214030,c_214029,c_213982,c_213958,c_213795,c_213340,c_213339,c_213179,c_213173,c_213168,c_213163,c_213159,c_213154,c_213149,c_213144,c_213139,c_213134,c_213129,c_213124,c_213120,c_213116,c_213112,c_213107,c_213102,c_213097,c_213092,c_213088,c_213084,c_213080,c_213075,c_213070,c_213065,c_213062,c_213061,c_213060,c_213059,c_213058,c_213057,c_213056,c_213055,c_213054,c_213052,c_213051,c_213050,c_213049,c_213048,c_213047,c_213046,c_213045,c_213044,c_213043,c_213042,c_213041,c_213040,c_213039,c_213038,c_213037,c_213035,c_213034,c_213033,c_213032,c_213031,c_213030,c_212978,c_212970,c_212969,c_212968,c_212967,c_212966,c_212965,c_212935,c_212933,c_212910,c_212909,c_212844,c_212843,c_212842,c_212841,c_212840,c_212811,c_212808,c_212804,c_212800,c_212799,c_212798,c_212797,c_212795,c_212201,c_212198,c_212195,c_212169,c_212168,c_212167,c_212161,c_212160,c_212157,c_212156,c_212139,c_212133,c_212128,c_212125,c_212124,c_212123,c_212122,c_212108,c_212104,c_212099,c_212094,c_212090,c_212089,c_212088,c_212087,c_212075,c_212070,c_212065,c_212061,c_212058,c_212060,c_211527,c_211526,c_211431,c_210011,c_209640,c_217609,c_216832,c_217623,c_216844,c_215680,c_215282,c_213880,c_211394,c_216393,c_217151,c_216441,c_211389,c_215136,c_215526,c_213838,c_217199,c_214405,c_214393,c_214827,c_214839,c_212278,c_213488,c_212677,c_214605,c_212357,c_214193,c_214171,c_212597,c_213408,c_212265,c_214627,c_214411,c_214399,c_214833,c_214845,c_212284,c_213493,c_212682,c_214604,c_212356,c_214192,c_214170,c_212596,c_213407,c_212264,c_214626,c_210959,c_216737,c_216779,c_217558,c_216784,c_217580,c_216805,c_215660,c_215256,c_216392,c_217150,c_216440,c_215135,c_215525,c_217198,c_217573,c_216799,c_217595,c_216820,c_215668,c_215268,c_213873,c_216351,c_217109,c_216399,c_215097,c_215487,c_213800,c_217157,c_212742,c_212741,c_212738,c_212735,c_212734,c_212733,c_212732,c_212730,c_212775,c_212774,c_212771,c_212768,c_212767,c_212766,c_212765,c_212763,c_211564,c_211558,c_211554,c_211549,c_211545,c_211540,c_211535,c_211530,c_211525,c_211524,c_211523,c_211522,c_211519,c_211518,c_211517,c_211516,c_211433,c_212728,c_212761,c_211427,c_215260,c_217216,c_216458,c_217221,c_216463,c_215533,c_215143,c_213847,c_211390,c_216347,c_217105,c_216395,c_211352,c_215093,c_215483,c_213796,c_217153,c_213036,c_214372,c_214355,c_214789,c_214801,c_212272,c_213475,c_212369,c_212664,c_214601,c_212353,c_214189,c_214167,c_212593,c_213404,c_212261,c_214623,c_211219,c_210851,c_210797,c_211142,c_209625,c_212484,c_211706,c_211084,c_210515,c_210492,c_211702,c_212450,c_211027,c_216268,c_209642,c_123251,c_211248,c_210870,c_210753,c_210424,c_210362,c_210703,c_210824,c_211169,c_211229,c_210869,c_210750,c_210421,c_210367,c_210708,c_210829,c_211174,c_209638,c_209637,c_211405,c_210176,c_210041,c_216272,c_209635,c_217506,c_217553,c_215652,c_211406,c_214004,c_214001,c_213994,c_213992,c_213991,c_213979,c_213974,c_213969,c_213966,c_213963,c_213962,c_213961,c_213960,c_213959,c_213957,c_213839,c_214468,c_214462,c_214879,c_214885,c_213498,c_212687,c_212290,c_214602,c_214190,c_214168,c_212594,c_213405,c_212262,c_214624,c_217694,c_216912,c_217701,c_216918,c_215692,c_215292,c_216391,c_217149,c_216439,c_215134,c_215524,c_217197,c_212488,c_217640,c_216860,c_217647,c_216866,c_215686,c_215287,c_213887,c_212944,c_216390,c_217148,c_212943,c_216438,c_212939,c_215133,c_215523,c_213835,c_217196,c_212487,c_212029,c_212028,c_212025,c_212022,c_212021,c_212020,c_212019,c_212018,c_212016,c_212363,c_211604,c_211599,c_209633,c_214366,c_214349,c_214783,c_214795,c_212266,c_213470,c_212659,c_214603,c_212355,c_214191,c_214169,c_212595,c_213406,c_212263,c_214625,c_211448,c_211447,c_211444,c_211441,c_211440,c_211439,c_211438,c_211437,c_211432,c_216271,c_211252,c_210871,c_210756,c_210427,c_210360,c_210701,c_210822,c_211167,c_210053,c_217464,c_216700,c_217511,c_216742,c_215919,c_215914,c_216389,c_217147,c_216437,c_215913,c_215911,c_217195,c_217471,c_216706,c_217518,c_216748,c_215941,c_215935,c_216388,c_217146,c_216436,c_215934,c_215932,c_217194,c_209639,c_217478,c_216713,c_217525,c_216755,c_215634,c_215241,c_214131,c_216387,c_217145,c_216435,c_215132,c_215522,c_214125,c_217193,c_217485,c_216719,c_217532,c_216761,c_216327,c_216322,c_216315,c_216386,c_217144,c_216434,c_216314,c_216312,c_216305,c_217192,c_217499,c_216731,c_217546,c_216773,c_215646,c_215251,c_216384,c_217142,c_216432,c_215130,c_215520,c_217190,c_217492,c_216725,c_217539,c_216767,c_215640,c_215246,c_216385,c_217143,c_216433,c_215131,c_215521,c_217191,c_19989,c_211233,c_210860,c_210733,c_210404,c_210366,c_210707,c_210828,c_211173,c_211238,c_210863,c_210737,c_210408,c_210365,c_210706,c_210827,c_211172,c_211243,c_210866,c_210741,c_210412,c_210364,c_210705,c_210826,c_211171,c_210872,c_210825,c_210656,c_213852,c_213794,c_210654,c_212440,c_212464,c_211028,c_210501,c_210491,c_212449,c_211026,c_217226,c_216468,c_217339,c_216579,c_215537,c_215147,c_210280,c_210279,c_216379,c_217137,c_210278,c_216427,c_210276,c_215125,c_215515,c_217185,c_212465,c_211032,c_210502,c_210490,c_212448,c_211025,c_217232,c_216473,c_217345,c_216584,c_215542,c_215151,c_210169,c_210168,c_216378,c_217136,c_210167,c_216426,c_210165,c_215124,c_215514,c_217184,c_212466,c_211036,c_210503,c_210489,c_212447,c_211024,c_217238,c_216478,c_217351,c_216589,c_215547,c_215155,c_210162,c_210161,c_216377,c_217135,c_210160,c_216425,c_210158,c_215123,c_215513,c_217183,c_211947,c_211945,c_212434,c_217585,c_217563,c_217458,c_217452,c_217446,c_217440,c_217435,c_217429,c_217423,c_217417,c_217412,c_217407,c_217402,c_217397,c_217392,c_217387,c_217382,c_217377,c_217372,c_217367,c_217362,c_217357,c_217333,c_217327,c_217322,c_217316,c_217310,c_217304,c_217299,c_217294,c_217289,c_217284,c_217279,c_217274,c_217269,c_217264,c_217259,c_217254,c_217249,c_217244,c_217211,c_217206,c_217205,c_217204,c_217203,c_217201,c_217188,c_217187,c_217186,c_217182,c_217181,c_217180,c_217179,c_217178,c_217177,c_217176,c_217175,c_217174,c_217173,c_217166,c_217165,c_217164,c_217163,c_217162,c_217161,c_217159,c_217156,c_217155,c_217154,c_217140,c_217139,c_217138,c_217134,c_217133,c_217132,c_217131,c_217130,c_217129,c_217128,c_217127,c_217126,c_217125,c_217118,c_217117,c_217116,c_217115,c_217114,c_217113,c_217111,c_217108,c_217107,c_217106,c_216815,c_216794,c_216695,c_216690,c_216685,c_216680,c_216675,c_216670,c_216665,c_216660,c_216654,c_216648,c_216642,c_216637,c_216632,c_216627,c_216621,c_216615,c_216609,c_216604,c_216599,c_216594,c_216574,c_216569,c_216564,c_216559,c_216554,c_216549,c_216543,c_216537,c_216531,c_216526,c_216521,c_216516,c_216510,c_216504,c_216498,c_216493,c_216488,c_216483,c_216453,c_216448,c_216447,c_216446,c_216445,c_216443,c_216431,c_216429,c_216428,c_216424,c_216423,c_216422,c_216421,c_216420,c_216419,c_216418,c_216417,c_216416,c_216415,c_216414,c_216413,c_216412,c_216411,c_216410,c_216409,c_216400,c_216398,c_216397,c_216396,c_216383,c_216381,c_216380,c_216376,c_216375,c_216374,c_216373,c_216372,c_216371,c_216370,c_216369,c_216368,c_216367,c_216366,c_216365,c_216364,c_216363,c_216362,c_216361,c_216352,c_216350,c_216349,c_216348,c_211612,c_211609,c_215129,c_211191,c_210844,c_210719,c_210378,c_210356,c_210697,c_210818,c_211163,c_212467,c_211040,c_210504,c_210488,c_212446,c_211023,c_215552,c_215159,c_210156,c_210155,c_210154,c_210152,c_215122,c_215512,c_215656,c_215629,c_215624,c_215619,c_215615,c_215610,c_215605,c_215600,c_215596,c_215592,c_215588,c_215584,c_215580,c_215576,c_215572,c_215568,c_215564,c_215560,c_215556,c_215529,c_215518,c_215517,c_215516,c_215511,c_215510,c_215509,c_215508,c_215507,c_215506,c_215505,c_215504,c_215503,c_215496,c_215495,c_215494,c_215493,c_215492,c_215491,c_215489,c_215486,c_215485,c_215484,c_215264,c_215237,c_215233,c_215229,c_215225,c_215221,c_215217,c_215213,c_215208,c_215203,c_215198,c_215194,c_215190,c_215186,c_215181,c_215176,c_215171,c_215167,c_215163,c_215139,c_215127,c_215126,c_215121,c_215120,c_215119,c_215118,c_215117,c_215116,c_215115,c_215114,c_215113,c_215112,c_215111,c_215110,c_215109,c_215108,c_215107,c_215098,c_215096,c_215095,c_215094,c_214822,c_214817,c_214812,c_214807,c_214778,c_214773,c_214768,c_214763,c_214758,c_214753,c_214748,c_214743,c_214738,c_214733,c_214728,c_214723,c_214718,c_214713,c_214708,c_214703,c_214698,c_214693,c_214688,c_214683,c_214678,c_214673,c_214668,c_214663,c_214658,c_214653,c_214648,c_214643,c_214638,c_214633,c_214632,c_214631,c_214630,c_214628,c_214622,c_214621,c_214620,c_214619,c_214618,c_214617,c_214616,c_214615,c_214614,c_214613,c_214612,c_214611,c_214610,c_214609,c_214608,c_214607,c_214606,c_214600,c_214599,c_214598,c_214597,c_214596,c_214595,c_214594,c_214593,c_214592,c_214591,c_214590,c_214589,c_214588,c_214587,c_214586,c_214585,c_214584,c_214388,c_214383,c_214378,c_214361,c_214344,c_214339,c_214334,c_214329,c_214324,c_214319,c_214314,c_214309,c_214304,c_214299,c_214294,c_214289,c_214284,c_214279,c_214274,c_214269,c_214264,c_214259,c_214254,c_214249,c_214244,c_214239,c_214234,c_214229,c_214224,c_214219,c_214214,c_214209,c_214204,c_214199,c_214198,c_214197,c_214196,c_214194,c_214188,c_214187,c_214186,c_214185,c_214184,c_214183,c_214182,c_214181,c_214180,c_214179,c_214178,c_214177,c_214176,c_214175,c_214174,c_214173,c_214172,c_214166,c_214165,c_214164,c_214163,c_214162,c_214161,c_214160,c_214159,c_214158,c_214157,c_214156,c_214155,c_214154,c_214153,c_214152,c_214151,c_214150,c_212451,c_210493,c_210487,c_212445,c_209983,c_209981,c_212452,c_210494,c_210486,c_212444,c_209980,c_209978,c_213867,c_213861,c_213855,c_213799,c_213798,c_213797,c_213792,c_213791,c_213790,c_213688,c_213687,c_213686,c_213685,c_213684,c_213683,c_213682,c_213681,c_213680,c_213679,c_213678,c_213677,c_213676,c_213675,c_213674,c_213673,c_213547,c_213546,c_213545,c_213544,c_213543,c_213542,c_213541,c_213540,c_213539,c_213538,c_213537,c_213536,c_213535,c_213534,c_213533,c_213532,c_213484,c_213480,c_213466,c_213462,c_213458,c_213454,c_213450,c_213446,c_213442,c_213438,c_213434,c_213430,c_213426,c_213422,c_213418,c_213414,c_213410,c_213403,c_213402,c_213401,c_213400,c_213399,c_213398,c_213397,c_213396,c_213395,c_213394,c_213393,c_213392,c_213391,c_213390,c_213389,c_213388,c_213387,c_212669,c_211948,c_212592,c_211943,c_212455,c_210495,c_210485,c_212443,c_209977,c_209975,c_211408,c_211407,c_211404,c_211403,c_211402,c_211401,c_212458,c_210496,c_210484,c_212442,c_209569,c_212673,c_212655,c_212651,c_212647,c_212643,c_212639,c_212635,c_212631,c_212627,c_212623,c_212619,c_212615,c_212611,c_212607,c_212603,c_212599,c_212591,c_212590,c_212589,c_212588,c_212587,c_212586,c_212585,c_212584,c_212583,c_212582,c_212581,c_212580,c_212579,c_212578,c_212577,c_212576,c_212486,c_212485,c_212482,c_212481,c_212480,c_212479,c_212476,c_212473,c_212470,c_212469,c_212468,c_212463,c_212462,c_212461,c_212441,c_212439,c_212438,c_212437,c_212436,c_212435,c_212433,c_212432,c_212431,c_212430,c_212429,c_212428,c_212427,c_212425,c_212424,c_212423,c_212422,c_212421,c_212420,c_212361,c_212360,c_212359,c_212358,c_212243,c_212242,c_210665,c_210664,c_209974,c_209972,c_210497,c_210483,c_209967,c_209965,c_211088,c_210516,c_210482,c_211016,c_211861,c_211860,c_211859,c_211858,c_211857,c_211856,c_211855,c_211854,c_211853,c_211852,c_211851,c_211850,c_211849,c_211848,c_211847,c_211846,c_211749,c_211748,c_211747,c_211746,c_211745,c_211744,c_211743,c_211742,c_211741,c_211740,c_211739,c_211738,c_211737,c_211736,c_211735,c_211734,c_211710,c_211703,c_211678,c_211676,c_211675,c_211674,c_209636,c_210306,c_210303,c_211262,c_211215,c_211211,c_211207,c_211203,c_211199,c_211195,c_211187,c_211183,c_211179,c_211175,c_211168,c_211166,c_211165,c_211164,c_211162,c_211161,c_211160,c_211159,c_211158,c_211150,c_211148,c_211145,c_211144,c_211147,c_211092,c_211080,c_211076,c_211072,c_211068,c_211064,c_211060,c_211056,c_211052,c_211048,c_211044,c_211015,c_211014,c_211011,c_211010,c_211009,c_211008,c_211007,c_211006,c_211005,c_211003,c_211002,c_211001,c_211000,c_210999,c_210175,c_210174,c_210172,c_210845,c_210720,c_210379,c_210355,c_210696,c_210817,c_210505,c_210481,c_210873,c_210850,c_210849,c_210848,c_210847,c_210846,c_210843,c_210842,c_210841,c_210840,c_210837,c_210836,c_210835,c_210834,c_210833,c_210832,c_210831,c_210830,c_210823,c_210821,c_210820,c_210819,c_210816,c_210815,c_210814,c_210813,c_210812,c_210811,c_210810,c_210809,c_210808,c_210807,c_210806,c_210805,c_210804,c_210803,c_210802,c_210801,c_210800,c_210799,c_210798,c_210745,c_210731,c_210730,c_210729,c_210726,c_210723,c_210716,c_210713,c_210712,c_210709,c_210702,c_210700,c_210699,c_210698,c_210695,c_210694,c_210693,c_210692,c_210684,c_210682,c_210679,c_210678,c_210676,c_210042,c_209989,c_210039,c_209987,c_210382,c_210354,c_210506,c_210480,c_210576,c_210575,c_210574,c_210573,c_210572,c_210571,c_210570,c_210569,c_210568,c_210517,c_210514,c_210513,c_210512,c_210511,c_210510,c_210509,c_210508,c_210507,c_210500,c_210499,c_210498,c_210479,c_210478,c_210477,c_210476,c_210475,c_210474,c_210473,c_210472,c_210471,c_210470,c_210469,c_210468,c_210467,c_210466,c_210465,c_210416,c_210391,c_210390,c_210389,c_210388,c_210385,c_210375,c_210372,c_210371,c_210368,c_210361,c_210359,c_210358,c_210357,c_210353,c_210352,c_210351,c_210343,c_210341,c_210340,c_210338,c_210337,c_210336,c_210335,c_210318,c_210043,c_209986,c_210038,c_209984,c_210213,c_210192,c_210191,c_210190,c_210040,c_209723,c_209721,c_209720,c_209718,c_210089,c_210088,c_210087,c_210086,c_210085,c_210084,c_210083,c_210082,c_210081,c_210067,c_210066,c_210047,c_210044,c_210014,c_210013,c_210012,c_209717,c_209716,c_209915,c_209914,c_209913,c_209912,c_209911,c_209910,c_209909,c_209908,c_209907,c_209906,c_209905,c_209904,c_209903,c_209902,c_209852,c_209851,c_209850,c_209849,c_209848,c_209847,c_209846,c_209845,c_209796,c_209795,c_209794,c_209793,c_209792,c_209791,c_209790,c_209789,c_209741,c_209740,c_209739,c_209738,c_209737,c_209736,c_209735,c_209734,c_209733,c_209732,c_209731,c_209730,c_209706,c_209705,c_209657,c_209656,c_209655,c_209654,c_209653,c_209652,c_209651,c_209632,c_209631,c_209350,c_209622,c_209618,c_209605,c_209604,c_209603,c_209602,c_209601,c_209600,c_209599,c_209598,c_209597,c_209596,c_209595,c_209594,c_209593,c_209592,c_209591,c_209584,c_209582,c_209581,c_209629,c_209628,c_209568,c_209567,c_209565,c_209564,c_209562,c_209561,c_209559,c_209558,c_209556,c_209547,c_209546,c_209545,c_209544,c_209543,c_209542,c_209541,c_209517,c_209516,c_209515,c_209514,c_209513,c_209512,c_209511,c_209474,c_209473,c_209472,c_209471,c_209470,c_209469,c_209468,c_209467,c_209466,c_209450,c_209447,c_209553,c_209552,c_209439,c_209438,c_209437,c_209436,c_209435,c_209434,c_209433,c_209432,c_209430,c_209429,c_209426,c_209425,c_209424,c_209423,c_209422,c_209421,c_209416,c_209414,c_209413,c_209412,c_209411,c_209410,c_209409,c_209404,c_209402,c_209401,c_209400,c_209399,c_209398,c_209397,c_209392,c_209391,c_209390,c_209389,c_209388,c_209387,c_209386,c_209385,c_209380,c_209378,c_209377,c_209376,c_209375,c_209374,c_209373,c_209368,c_209367,c_209366,c_209365,c_209364,c_209363,c_209362,c_209361,c_209325,c_209324,c_209323,c_209322,c_209321,c_209320,c_209319,c_209318,c_217,c_210,c_207,c_205,c_203,c_209555,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_140,c_139,c_138,c_141,c_136,c_134,c_132,c_131,c_129,c_128,c_127,c_126,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_88,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM528+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 04:27:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 57.54/12.43 % SZS status Started for theBenchmark.p
% 57.54/12.43 % SZS status Theorem for theBenchmark.p
% 57.54/12.43
% 57.54/12.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 57.54/12.43
% 57.54/12.43 % ------ iProver source info
% 57.54/12.43
% 57.54/12.43 % git: date: 2026-07-19 20:42:38 +0200
% 57.54/12.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 57.54/12.43 % git: non_committed_changes: false
% 57.54/12.43
% 57.54/12.43 % ------ Parsing...
% 57.54/12.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 57.54/12.43
% 57.54/12.43 % ------ 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 %
% 57.54/12.43
% 57.54/12.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 57.54/12.43
% 57.54/12.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 57.54/12.43 % ------ Proving...
% 57.54/12.43 % ------ Problem Properties
% 57.54/12.43
% 57.54/12.43 %
% 57.54/12.43 % clauses 96
% 57.54/12.43 % conjectures 2
% 57.54/12.43 % EPR 29
% 57.54/12.43 % Horn 62
% 57.54/12.43 % unary 24
% 57.54/12.43 % binary 11
% 57.54/12.43 % lits 363
% 57.54/12.43 % lits eq 129
% 57.54/12.43 % fd_pure 0
% 57.54/12.43 % fd_pseudo 0
% 57.54/12.43 % fd_cond 23
% 57.54/12.43 % fd_pseudo_cond 11
% 57.54/12.43 % AC symbols 0
% 57.54/12.43
% 57.54/12.43 % ------ Schedule dynamic 5 is on
% 57.54/12.43
% 57.54/12.43 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 57.54/12.43
% 57.54/12.43
% 57.54/12.43 % ------
% 57.54/12.43 % Current options:
% 57.54/12.43 % ------
% 57.54/12.43
% 57.54/12.43
% 57.54/12.43 %
% 57.54/12.43
% 57.54/12.43 % ------ Proving...
% 57.54/12.43 % Proof_search_loop: time out after: 5828 full_loop iterations
% 57.54/12.43
% 57.54/12.43 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 57.54/12.43
% 57.54/12.43
% 57.54/12.43 % ------
% 57.54/12.43 % Current options:
% 57.54/12.43 % ------
% 57.54/12.43
% 57.54/12.43
% 57.54/12.43 %
% 57.54/12.43
% 57.54/12.43 % ------ Proving...
% 57.54/12.43 %
% 57.54/12.43
% 57.54/12.43 % SZS status Theorem for theBenchmark.p
% 57.54/12.43
% 57.54/12.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.54/12.49
% 57.54/12.49
%------------------------------------------------------------------------------