%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM483+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 : n017.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 02:25:11 PM UTC 2026
% Result : Theorem 25.80s 4.17s
% Output : CNFRefutation 25.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 39
% Syntax : Number of formulae : 4167 ( 490 unt; 2 def)
% Number of atoms : 18860 (6884 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 24807 (10114 ~;14353 |; 273 &)
% ( 9 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 3310 ( 0 sgn3261 !; 49 ?;2875 :)
% 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(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( X1 != sz00
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X1 = X0
| X1 = sz10 ) )
& X0 != sz10
& X0 != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f38,axiom,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716) ).
fof(f39,axiom,
! [X0] :
( ( X0 != sz10
& X0 != sz00
& aNaturalNumber0(X0) )
=> ( iLess0(X0,xk)
=> ? [X1] :
( isPrime0(X1)
& ! [X2] :
( ( ( doDivides0(X2,X1)
| ? [X3] :
( X1 = sdtasdt0(X2,X3)
& aNaturalNumber0(X3) ) )
& aNaturalNumber0(X2) )
=> ( X2 = X1
| X2 = sz10 ) )
& X1 != sz10
& X1 != sz00
& doDivides0(X1,X0)
& ? [X2] :
( X0 = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1700) ).
fof(f40,axiom,
( xk != sz10
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716_04) ).
fof(f41,axiom,
~ ( isPrime0(xk)
| ! [X0] :
( ( doDivides0(X0,xk)
& ? [X1] :
( xk = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) )
& aNaturalNumber0(X0) )
=> ( X0 = xk
| X0 = sz10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1725) ).
fof(f42,conjecture,
? [X0] :
( ( isPrime0(X0)
| ( ! [X1] :
( ( doDivides0(X1,X0)
& ? [X2] :
( X0 = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) )
=> ( X1 = X0
| X1 = sz10 ) )
& X0 != sz10
& X0 != sz00 ) )
& ( doDivides0(X0,xk)
| ? [X1] :
( xk = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
~ ? [X0] :
( ( isPrime0(X0)
| ( ! [X1] :
( ( doDivides0(X1,X0)
& ? [X2] :
( X0 = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) )
=> ( X1 = X0
| X1 = sz10 ) )
& X0 != sz10
& X0 != sz00 ) )
& ( doDivides0(X0,xk)
| ? [X1] :
( xk = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f44,plain,
! [X0] :
( ( X0 != sz10
& X0 != sz00
& aNaturalNumber0(X0) )
=> ( iLess0(X0,xk)
=> ? [X1] :
( isPrime0(X1)
& ! [X3] :
( ( ( doDivides0(X3,X1)
| ? [X4] :
( sdtasdt0(X3,X4) = X1
& aNaturalNumber0(X4) ) )
& aNaturalNumber0(X3) )
=> ( X1 = X3
| sz10 = X3 ) )
& X1 != sz10
& X1 != sz00
& doDivides0(X1,X0)
& ? [X2] :
( X0 = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) ) ) ),
inference(rectify,[],[f39]) ).
fof(f45,plain,
~ ? [X0] :
( ( isPrime0(X0)
| ( ! [X2] :
( ( doDivides0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aNaturalNumber0(X3) )
& aNaturalNumber0(X2) )
=> ( X0 = X2
| sz10 = X2 ) )
& X0 != sz10
& X0 != sz00 ) )
& ( doDivides0(X0,xk)
| ? [X1] :
( xk = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) ),
inference(rectify,[],[f43]) ).
fof(f48,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ? [X1] :
( isPrime0(X1)
& ! [X3] :
( ( ~ doDivides0(X3,X1)
& ! [X4] :
( sdtasdt0(X3,X4) != X1
| ~ aNaturalNumber0(X4) ) )
| ~ aNaturalNumber0(X3)
| X1 = X3
| sz10 = X3 )
& X1 != sz10
& X1 != sz00
& doDivides0(X1,X0)
& ? [X2] :
( X0 = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f49,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ? [X1] :
( isPrime0(X1)
& ! [X3] :
( ( ~ doDivides0(X3,X1)
& ! [X4] :
( sdtasdt0(X3,X4) != X1
| ~ aNaturalNumber0(X4) ) )
| ~ aNaturalNumber0(X3)
| X1 = X3
| sz10 = X3 )
& X1 != sz10
& X1 != sz00
& doDivides0(X1,X0)
& ? [X2] :
( X0 = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
( ~ isPrime0(xk)
& ? [X0] :
( doDivides0(X0,xk)
& ? [X1] :
( xk = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) )
& aNaturalNumber0(X0)
& xk != X0
& sz10 != X0 ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f51,plain,
( ~ isPrime0(xk)
& ? [X0] :
( doDivides0(X0,xk)
& ? [X1] :
( xk = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) )
& aNaturalNumber0(X0)
& xk != X0
& sz10 != X0 ) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ( ~ isPrime0(X0)
& ( ? [X2] :
( doDivides0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aNaturalNumber0(X3) )
& aNaturalNumber0(X2)
& X0 != X2
& sz10 != X2 )
| sz10 = X0
| sz00 = X0 ) )
| ( ~ doDivides0(X0,xk)
& ! [X1] :
( sdtasdt0(X0,X1) != xk
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f53,plain,
! [X0] :
( ( ~ isPrime0(X0)
& ( ? [X2] :
( doDivides0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aNaturalNumber0(X3) )
& aNaturalNumber0(X2)
& X0 != X2
& sz10 != X2 )
| sz10 = X0
| sz00 = X0 ) )
| ( ~ doDivides0(X0,xk)
& ! [X1] :
( sdtasdt0(X0,X1) != xk
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f55,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f54]) ).
fof(f56,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(f57,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f60]) ).
fof(f62,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(f63,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ! [X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2 ) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f65,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f66,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(ennf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f69,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f83,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(f84,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f83]) ).
fof(f85,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(f86,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f87]) ).
fof(f89,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(f90,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(flattening,[],[f89]) ).
fof(f91,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(f92,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,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f100]) ).
fof(f102,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(f103,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,[],[f102]) ).
fof(f104,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(f105,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f108]) ).
fof(f116,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ( isPrime0(sK2(X0))
& sP0(sK2(X0))
& sz10 != sK2(X0)
& sz00 != sK2(X0)
& doDivides0(sK2(X0),X0)
& sdtasdt0(sK2(X0),sK3(X0)) = X0
& aNaturalNumber0(sK3(X0))
& aNaturalNumber0(sK2(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0))],[f111]) ).
fof(f117,plain,
( ~ isPrime0(xk)
& doDivides0(sK4,xk)
& xk = sdtasdt0(sK4,sK5)
& aNaturalNumber0(sK5)
& aNaturalNumber0(sK4)
& xk != sK4
& sz10 != sK4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f51]) ).
fof(f121,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,[],[f72]) ).
fof(f122,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,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK8(X0,X1)) = X1
& aNaturalNumber0(sK8(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f122]) ).
fof(f124,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,[],[f90]) ).
fof(f125,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,[],[f124]) ).
fof(f126,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,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ( doDivides0(sK9(X0),X0)
& aNaturalNumber0(sK9(X0))
& sK9(X0) != X0
& sz10 != sK9(X0) )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK10(X0,X1)) = X1
& aNaturalNumber0(sK10(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1))],[f129]) ).
fof(f131,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f38]) ).
fof(f134,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| isPrime0(sK2(X0)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f135,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sP0(sK2(X0)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f136,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sz10 != sK2(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f137,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sz00 != sK2(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f138,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| doDivides0(sK2(X0),X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f139,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sdtasdt0(sK2(X0),sK3(X0)) = X0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f140,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| aNaturalNumber0(sK3(X0)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f141,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| aNaturalNumber0(sK2(X0)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f142,plain,
sz10 != xk,
inference(cnf_transformation,[],[f40]) ).
fof(f143,plain,
sz00 != xk,
inference(cnf_transformation,[],[f40]) ).
fof(f144,plain,
~ isPrime0(xk),
inference(cnf_transformation,[],[f117]) ).
fof(f145,plain,
doDivides0(sK4,xk),
inference(cnf_transformation,[],[f117]) ).
fof(f146,plain,
xk = sdtasdt0(sK4,sK5),
inference(cnf_transformation,[],[f117]) ).
fof(f147,plain,
aNaturalNumber0(sK5),
inference(cnf_transformation,[],[f117]) ).
fof(f148,plain,
aNaturalNumber0(sK4),
inference(cnf_transformation,[],[f117]) ).
fof(f149,plain,
xk != sK4,
inference(cnf_transformation,[],[f117]) ).
fof(f150,plain,
sz10 != sK4,
inference(cnf_transformation,[],[f117]) ).
fof(f158,plain,
! [X0] :
( sP1(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f159,plain,
! [X0,X1] :
( sP1(X0)
| sdtasdt0(X0,X1) != xk
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f160,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f161,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,[],[f57]) ).
fof(f163,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,[],[f57]) ).
fof(f165,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f167,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f170,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f171,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f64]) ).
fof(f172,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f65]) ).
fof(f173,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f65]) ).
fof(f174,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f177,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f178,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f179,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f180,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK8(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f188,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f189,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f190,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f194,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f195,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz10 != X0 ),
inference(cnf_transformation,[],[f127]) ).
fof(f196,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz00 != X0 ),
inference(cnf_transformation,[],[f127]) ).
fof(f197,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(sK9(X0),X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f198,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK9(X0))
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f199,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sK9(X0) != X0
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f200,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != sK9(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f201,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,[],[f92]) ).
fof(f203,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,[],[f92]) ).
fof(f205,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f208,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f209,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f210,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK10(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f211,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK10(X0,X1)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f103]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f216,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f217,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f220,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f184]) ).
fof(f221,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f196]) ).
fof(f222,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f195]) ).
fof(f224,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f212]) ).
tcf(c_49,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f131]) ).
tcf(c_52,plain,
! [X0: $i] :
( aNaturalNumber0(sK2(X0))
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_53,plain,
! [X0: $i] :
( aNaturalNumber0(sK3(X0))
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_54,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK2(X0),sK3(X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_55,plain,
! [X0: $i] :
( doDivides0(sK2(X0),X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ( sK2(X0) != sz00 ) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ( sK2(X0) != sz10 ) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_58,plain,
! [X0: $i] :
( sP0(sK2(X0))
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_59,plain,
! [X0: $i] :
( isPrime0(sK2(X0))
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_60,plain,
xk != sz00,
inference(cnf_transformation,[],[f143]) ).
tcf(c_61,plain,
xk != sz10,
inference(cnf_transformation,[],[f142]) ).
tcf(c_62,plain,
sz10 != sK4,
inference(cnf_transformation,[],[f150]) ).
tcf(c_63,plain,
xk != sK4,
inference(cnf_transformation,[],[f149]) ).
tcf(c_64,plain,
aNaturalNumber0(sK4),
inference(cnf_transformation,[],[f148]) ).
tcf(c_65,plain,
aNaturalNumber0(sK5),
inference(cnf_transformation,[],[f147]) ).
tcf(c_66,plain,
sdtasdt0(sK4,sK5) = xk,
inference(cnf_transformation,[],[f146]) ).
tcf(c_67,plain,
doDivides0(sK4,xk),
inference(cnf_transformation,[],[f145]) ).
tcf(c_68,plain,
~ isPrime0(xk),
inference(cnf_transformation,[],[f144]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i] :
( sP1(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != xk ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] :
( sP1(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_80,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,[],[f163]) ).
tcf(c_82,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,[],[f161]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_86,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,[],[f169]) ).
tcf(c_87,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,[],[f168]) ).
tcf(c_88,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_89,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_90,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_91,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_92,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f174]) ).
tcf(c_93,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_94,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_95,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_96,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f180]) ).
tcf(c_97,plain,
sz10 != sz00,
inference(cnf_transformation,[],[f179]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK8(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK8(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1)) = sdtasdt0(X2,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X2,X0),X1) = sdtasdt0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_108,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,[],[f191]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_111,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sK9(X0) != sz10 ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_112,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sK9(X0) != X0 ) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_113,plain,
! [X0: $i] :
( isPrime0(X0)
| aNaturalNumber0(sK9(X0))
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_114,plain,
! [X0: $i] :
( isPrime0(X0)
| doDivides0(sK9(X0),X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_115,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_116,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = X1 )
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_119,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,[],[f203]) ).
tcf(c_121,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,[],[f201]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_126,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK10(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK10(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X2,X0),X1) = sdtpldt0(X2,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_189,plain,
~ isPrime0(sz10),
inference(global_subsumption_just,[status(thm)],[c_116,c_96,c_116]) ).
tcf(c_191,plain,
~ isPrime0(sz00),
inference(global_subsumption_just,[status(thm)],[c_115,c_92,c_115]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_99,c_106]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_127,c_134]) ).
tcf(c_2174,plain,
! [X0: $i] :
( aNaturalNumber0(sK9(X0))
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( X0 != xk ) ),
inference(resolution_lifted,[status(thm)],[c_68,c_113]) ).
tcf(c_2175,plain,
( aNaturalNumber0(sK9(xk))
| ( xk = sz00 )
| ( xk = sz10 )
| ~ aNaturalNumber0(xk) ),
inference(unflattening,[status(thm)],[c_2174]) ).
tcf(c_2181,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( X0 != xk )
| ( sK9(X0) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_68,c_112]) ).
tcf(c_2182,plain,
( ( xk = sz00 )
| ( xk = sz10 )
| ~ aNaturalNumber0(xk)
| ( sK9(xk) != xk ) ),
inference(unflattening,[status(thm)],[c_2181]) ).
tcf(c_2188,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( X0 != xk )
| ( sK9(X0) != sz10 ) ),
inference(resolution_lifted,[status(thm)],[c_68,c_111]) ).
tcf(c_2189,plain,
( ( xk = sz00 )
| ( xk = sz10 )
| ~ aNaturalNumber0(xk)
| ( sK9(xk) != sz10 ) ),
inference(unflattening,[status(thm)],[c_2188]) ).
tcf(c_5888,plain,
( sP1(sK4)
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_67,c_77]) ).
tcf(c_5889,plain,
sP1(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_5888,c_64]) ).
tcf(c_5911,plain,
sdtasdt0(xk,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_88]) ).
tcf(c_5912,plain,
sdtasdt0(sK4,sz00) = sz00,
inference(superposition,[status(thm)],[c_64,c_88]) ).
tcf(c_5913,plain,
sdtasdt0(sK5,sz00) = sz00,
inference(superposition,[status(thm)],[c_65,c_88]) ).
tcf(c_5914,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_92,c_88]) ).
tcf(c_5915,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_96,c_88]) ).
tcf(c_5916,plain,
( doDivides0(xk,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5911,c_275]) ).
tcf(c_5918,plain,
doDivides0(xk,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_5916,c_92,c_49]) ).
tcf(c_5919,plain,
( doDivides0(sK4,sz00)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5912,c_275]) ).
tcf(c_5921,plain,
doDivides0(sK4,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_5919,c_64,c_92]) ).
tcf(c_5926,plain,
sdtasdt0(sz00,xk) = sz00,
inference(superposition,[status(thm)],[c_49,c_89]) ).
tcf(c_5927,plain,
sdtasdt0(sz00,sK4) = sz00,
inference(superposition,[status(thm)],[c_64,c_89]) ).
tcf(c_5928,plain,
sdtasdt0(sz00,sK5) = sz00,
inference(superposition,[status(thm)],[c_65,c_89]) ).
tcf(c_5930,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_96,c_89]) ).
tcf(c_5935,plain,
sdtpldt0(xk,sz00) = xk,
inference(superposition,[status(thm)],[c_49,c_90]) ).
tcf(c_5936,plain,
sdtpldt0(sK4,sz00) = sK4,
inference(superposition,[status(thm)],[c_64,c_90]) ).
tcf(c_5937,plain,
sdtpldt0(sK5,sz00) = sK5,
inference(superposition,[status(thm)],[c_65,c_90]) ).
tcf(c_5938,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_92,c_90]) ).
tcf(c_5939,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_96,c_90]) ).
tcf(c_5944,plain,
sdtpldt0(sz00,xk) = xk,
inference(superposition,[status(thm)],[c_49,c_91]) ).
tcf(c_5945,plain,
sdtpldt0(sz00,sK4) = sK4,
inference(superposition,[status(thm)],[c_64,c_91]) ).
tcf(c_5946,plain,
sdtpldt0(sz00,sK5) = sK5,
inference(superposition,[status(thm)],[c_65,c_91]) ).
tcf(c_5948,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_96,c_91]) ).
tcf(c_5953,plain,
sdtasdt0(xk,sz10) = xk,
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_5954,plain,
sdtasdt0(sK4,sz10) = sK4,
inference(superposition,[status(thm)],[c_64,c_94]) ).
tcf(c_5955,plain,
sdtasdt0(sK5,sz10) = sK5,
inference(superposition,[status(thm)],[c_65,c_94]) ).
tcf(c_5957,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(superposition,[status(thm)],[c_96,c_94]) ).
tcf(c_5958,plain,
( doDivides0(sK5,sz00)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5913,c_275]) ).
tcf(c_5960,plain,
doDivides0(sK5,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_5958,c_65,c_92]) ).
tcf(c_5961,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5914,c_275]) ).
tcf(c_5963,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_5961,c_92]) ).
tcf(c_5964,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5915,c_275]) ).
tcf(c_5966,plain,
doDivides0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_5964,c_92,c_96]) ).
tcf(c_5979,plain,
sdtasdt0(sz10,xk) = xk,
inference(superposition,[status(thm)],[c_49,c_95]) ).
tcf(c_5980,plain,
sdtasdt0(sz10,sK4) = sK4,
inference(superposition,[status(thm)],[c_64,c_95]) ).
tcf(c_5981,plain,
sdtasdt0(sz10,sK5) = sK5,
inference(superposition,[status(thm)],[c_65,c_95]) ).
tcf(c_6000,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtasdt0(X1,X0)) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_95]) ).
tcf(c_6001,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,X0),sz10) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_94]) ).
tcf(c_6002,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X1,X0)) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_91]) ).
tcf(c_6003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sz00) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_90]) ).
tcf(c_6004,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_89]) ).
tcf(c_6005,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_88]) ).
tcf(c_6038,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtpldt0(X1,X0)) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_95]) ).
tcf(c_6039,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X1,X0),sz10) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_94]) ).
tcf(c_6040,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X1,X0)) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_91]) ).
tcf(c_6041,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,X0),sz00) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_90]) ).
tcf(c_6042,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_89]) ).
tcf(c_6043,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_88]) ).
tcf(c_6074,plain,
( sdtlseqdt0(xk,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5935,c_283]) ).
tcf(c_6075,plain,
( sdtlseqdt0(sz00,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5944,c_283]) ).
tcf(c_6076,plain,
sdtlseqdt0(sz00,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6075,c_92,c_49]) ).
tcf(c_6077,plain,
sdtlseqdt0(xk,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6074,c_92,c_49]) ).
tcf(c_6078,plain,
( sdtlseqdt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5936,c_283]) ).
tcf(c_6080,plain,
sdtlseqdt0(sK4,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_6078,c_64,c_92]) ).
tcf(c_6081,plain,
( sdtlseqdt0(sK5,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5937,c_283]) ).
tcf(c_6083,plain,
sdtlseqdt0(sK5,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_6081,c_65,c_92]) ).
tcf(c_6084,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5938,c_283]) ).
tcf(c_6086,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6084,c_92]) ).
tcf(c_6087,plain,
( sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5939,c_283]) ).
tcf(c_6089,plain,
sdtlseqdt0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_6087,c_92,c_96]) ).
tcf(c_6090,plain,
( sdtlseqdt0(sz00,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5945,c_283]) ).
tcf(c_6092,plain,
sdtlseqdt0(sz00,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_6090,c_64,c_92]) ).
tcf(c_6093,plain,
( doDivides0(xk,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5953,c_275]) ).
tcf(c_6094,plain,
( sP1(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5953,c_76]) ).
tcf(c_6096,plain,
sP1(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6094,c_96,c_49]) ).
tcf(c_6097,plain,
doDivides0(xk,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6093,c_96,c_49]) ).
tcf(c_6194,plain,
( sdtlseqdt0(sz00,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5946,c_283]) ).
tcf(c_6196,plain,
sdtlseqdt0(sz00,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_6194,c_65,c_92]) ).
tcf(c_6197,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5948,c_283]) ).
tcf(c_6199,plain,
sdtlseqdt0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_6197,c_92,c_96]) ).
tcf(c_6200,plain,
( doDivides0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5954,c_275]) ).
tcf(c_6203,plain,
doDivides0(sK4,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_6200,c_64,c_96]) ).
tcf(c_6204,plain,
( doDivides0(sK5,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5955,c_275]) ).
tcf(c_6205,plain,
( sP1(sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ( xk != sK5 ) ),
inference(superposition,[status(thm)],[c_5955,c_76]) ).
tcf(c_6207,plain,
doDivides0(sK5,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_6204,c_65,c_96]) ).
tcf(c_6208,plain,
( sP1(sK5)
| ( xk != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6205,c_65,c_96]) ).
tcf(c_6215,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5957,c_275]) ).
tcf(c_6218,plain,
doDivides0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_6215,c_96]) ).
tcf(c_6219,plain,
( doDivides0(sz10,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5979,c_275]) ).
tcf(c_6220,plain,
( sP1(sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5979,c_76]) ).
tcf(c_6222,plain,
sP1(sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_6220,c_96,c_49]) ).
tcf(c_6223,plain,
doDivides0(sz10,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6219,c_96,c_49]) ).
tcf(c_6232,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK8(X0,X1)) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_95]) ).
tcf(c_6233,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sz10) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_94]) ).
tcf(c_6234,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK8(X0,X1)) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_91]) ).
tcf(c_6235,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK8(X0,X1),sz00) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_90]) ).
tcf(c_6236,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK8(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_89]) ).
tcf(c_6237,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_88]) ).
tcf(c_6275,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xk) = sdtasdt0(xk,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_105]) ).
tcf(c_6276,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK4) = sdtasdt0(sK4,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64,c_105]) ).
tcf(c_6277,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK5) = sdtasdt0(sK5,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_105]) ).
tcf(c_6280,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_105]) ).
tcf(c_6281,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_105]) ).
tcf(c_6282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK8(X0,X1),X2) = sdtasdt0(X2,sK8(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_105]) ).
tcf(c_6283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X0),X2) = sdtasdt0(X2,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_105]) ).
tcf(c_6284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X1,X0),X2) = sdtasdt0(X2,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_105]) ).
tcf(c_6340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK10(X0,X1),X2) = sdtasdt0(X2,sK10(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_105]) ).
tcf(c_6341,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK10(X0,X1)) = sK10(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_95]) ).
tcf(c_6342,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK10(X0,X1),sz10) = sK10(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_94]) ).
tcf(c_6343,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK10(X0,X1)) = sK10(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_91]) ).
tcf(c_6344,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK10(X0,X1),sz00) = sK10(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_90]) ).
tcf(c_6345,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK10(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_89]) ).
tcf(c_6346,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK10(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_88]) ).
tcf(c_6393,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xk) = sdtpldt0(xk,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_133]) ).
tcf(c_6394,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK4) = sdtpldt0(sK4,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64,c_133]) ).
tcf(c_6395,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK5) = sdtpldt0(sK5,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_133]) ).
tcf(c_6398,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_133]) ).
tcf(c_6399,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_133]) ).
tcf(c_6400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK8(X0,X1),X2) = sdtpldt0(X2,sK8(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_133]) ).
tcf(c_6401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),X2) = sdtpldt0(X2,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_133]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK10(X0,X1),X2) = sdtpldt0(X2,sK10(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_133]) ).
tcf(c_6403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X0),X2) = sdtpldt0(X2,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_133]) ).
tcf(c_6449,plain,
( aNaturalNumber0(sK2(xk))
| ( xk = sz00 )
| ( xk = sz10 )
| ~ aNaturalNumber0(xk)
| ~ iLess0(xk,xk) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_6459,plain,
( doDivides0(sz10,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5980,c_275]) ).
tcf(c_6462,plain,
doDivides0(sz10,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_6459,c_64,c_96]) ).
tcf(c_6463,plain,
( doDivides0(sz10,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5981,c_275]) ).
tcf(c_6466,plain,
doDivides0(sz10,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_6463,c_65,c_96]) ).
tcf(c_6474,plain,
sdtasdt0(xk,sK4) = sdtasdt0(sK4,xk),
inference(superposition,[status(thm)],[c_64,c_6275]) ).
tcf(c_6475,plain,
sdtasdt0(xk,sK5) = sdtasdt0(sK5,xk),
inference(superposition,[status(thm)],[c_65,c_6275]) ).
tcf(c_6478,plain,
sdtasdt0(xk,sz00) = sdtasdt0(sz00,xk),
inference(superposition,[status(thm)],[c_92,c_6275]) ).
tcf(c_6479,plain,
sdtasdt0(xk,sz10) = sdtasdt0(sz10,xk),
inference(superposition,[status(thm)],[c_96,c_6275]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),xk) = sdtasdt0(xk,sK8(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_6275]) ).
tcf(c_6481,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,X0),xk) = sdtasdt0(xk,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_6275]) ).
tcf(c_6482,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK10(X0,X1),xk) = sdtasdt0(xk,sK10(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_6275]) ).
tcf(c_6483,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X1,X0),xk) = sdtasdt0(xk,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_6275]) ).
tcf(c_6518,plain,
( doDivides0(sK4,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6474,c_275]) ).
tcf(c_6520,plain,
( aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6474,c_106]) ).
tcf(c_6521,plain,
aNaturalNumber0(sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_6520,c_64,c_49]) ).
tcf(c_6522,plain,
doDivides0(sK4,sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_6518,c_64,c_49]) ).
tcf(c_6523,plain,
sdtasdt0(sdtasdt0(xk,sK4),xk) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6521,c_6275]) ).
tcf(c_6524,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xk,sK4),X0) = sdtpldt0(X0,sdtasdt0(xk,sK4)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6521,c_133]) ).
tcf(c_6525,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xk,sK4),X0) = sdtasdt0(X0,sdtasdt0(xk,sK4)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6521,c_105]) ).
tcf(c_6526,plain,
sdtasdt0(sz10,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4),
inference(superposition,[status(thm)],[c_6521,c_95]) ).
tcf(c_6527,plain,
sdtasdt0(sdtasdt0(xk,sK4),sz10) = sdtasdt0(xk,sK4),
inference(superposition,[status(thm)],[c_6521,c_94]) ).
tcf(c_6528,plain,
sdtpldt0(sz00,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4),
inference(superposition,[status(thm)],[c_6521,c_91]) ).
tcf(c_6529,plain,
sdtpldt0(sdtasdt0(xk,sK4),sz00) = sdtasdt0(xk,sK4),
inference(superposition,[status(thm)],[c_6521,c_90]) ).
tcf(c_6530,plain,
sdtasdt0(sz00,sdtasdt0(xk,sK4)) = sz00,
inference(superposition,[status(thm)],[c_6521,c_89]) ).
tcf(c_6531,plain,
sdtasdt0(sdtasdt0(xk,sK4),sz00) = sz00,
inference(superposition,[status(thm)],[c_6521,c_88]) ).
tcf(c_6550,plain,
( doDivides0(sK5,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6475,c_275]) ).
tcf(c_6551,plain,
( sP1(sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ( sdtasdt0(xk,sK5) != xk ) ),
inference(superposition,[status(thm)],[c_6475,c_76]) ).
tcf(c_6552,plain,
( aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6475,c_106]) ).
tcf(c_6553,plain,
aNaturalNumber0(sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_6552,c_65,c_49]) ).
tcf(c_6554,plain,
doDivides0(sK5,sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_6550,c_65,c_49]) ).
tcf(c_6555,plain,
( sP1(sK5)
| ( sdtasdt0(xk,sK5) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6551,c_65,c_49]) ).
tcf(c_6558,plain,
( doDivides0(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6523,c_275]) ).
tcf(c_6559,plain,
( sP1(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != xk ) ),
inference(superposition,[status(thm)],[c_6523,c_76]) ).
tcf(c_6560,plain,
( aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6523,c_106]) ).
tcf(c_6561,plain,
aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_6560,c_49,c_6521]) ).
tcf(c_6562,plain,
doDivides0(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_6558,c_49,c_6521]) ).
tcf(c_6563,plain,
( sP1(sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6559,c_49,c_6521]) ).
tcf(c_6590,plain,
( sdtlseqdt0(sK4,xk)
| ( sz00 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_66,c_78]) ).
tcf(c_6604,plain,
( sdtlseqdt0(sz10,xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5979,c_78]) ).
tcf(c_6605,plain,
( sdtlseqdt0(sz10,sK4)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5980,c_78]) ).
tcf(c_6606,plain,
( sdtlseqdt0(sz10,sK5)
| ( sz00 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5981,c_78]) ).
tcf(c_6607,plain,
( sdtlseqdt0(sK4,sdtasdt0(xk,sK4))
| ( xk = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6474,c_78]) ).
tcf(c_6608,plain,
( sdtlseqdt0(sK5,sdtasdt0(xk,sK5))
| ( xk = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6475,c_78]) ).
tcf(c_6609,plain,
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6523,c_78]) ).
tcf(c_6610,plain,
( sdtlseqdt0(sz10,sK5)
| ( sz00 = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6606,c_65,c_96]) ).
tcf(c_6613,plain,
( sdtlseqdt0(sz10,sK4)
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6605,c_64,c_96]) ).
tcf(c_6616,plain,
sdtlseqdt0(sz10,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6604,c_60,c_96,c_49]) ).
tcf(c_6617,plain,
( sdtlseqdt0(sK4,xk)
| ( sz00 = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6590,c_65,c_64]) ).
tcf(c_6620,plain,
sdtlseqdt0(sK5,sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_6608,c_60,c_65,c_49]) ).
tcf(c_6621,plain,
sdtlseqdt0(sK4,sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_6607,c_60,c_64,c_49]) ).
tcf(c_6622,plain,
sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_6609,c_60,c_49,c_6521]) ).
tcf(c_6639,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),xk) = sdtasdt0(xk,sK9(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_6275]) ).
tcf(c_6640,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sK9(X0),X1) = sdtpldt0(X1,sK9(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_133]) ).
tcf(c_6641,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),X1) = sdtasdt0(X1,sK9(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_105]) ).
tcf(c_6642,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sz10,sK9(X0)) = sK9(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_95]) ).
tcf(c_6643,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),sz10) = sK9(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_94]) ).
tcf(c_6644,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sz00,sK9(X0)) = sK9(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_91]) ).
tcf(c_6645,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sK9(X0),sz00) = sK9(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_90]) ).
tcf(c_6646,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sz00,sK9(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_89]) ).
tcf(c_6647,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_88]) ).
tcf(c_6713,plain,
sdtasdt0(sdtasdt0(xk,sK5),xk) = sdtasdt0(xk,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_6553,c_6275]) ).
tcf(c_6714,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xk,sK5),X0) = sdtpldt0(X0,sdtasdt0(xk,sK5)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6553,c_133]) ).
tcf(c_6715,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xk,sK5),X0) = sdtasdt0(X0,sdtasdt0(xk,sK5)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6553,c_105]) ).
tcf(c_6716,plain,
sdtasdt0(sz10,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5),
inference(superposition,[status(thm)],[c_6553,c_95]) ).
tcf(c_6717,plain,
sdtasdt0(sdtasdt0(xk,sK5),sz10) = sdtasdt0(xk,sK5),
inference(superposition,[status(thm)],[c_6553,c_94]) ).
tcf(c_6718,plain,
sdtpldt0(sz00,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5),
inference(superposition,[status(thm)],[c_6553,c_91]) ).
tcf(c_6719,plain,
sdtpldt0(sdtasdt0(xk,sK5),sz00) = sdtasdt0(xk,sK5),
inference(superposition,[status(thm)],[c_6553,c_90]) ).
tcf(c_6720,plain,
sdtasdt0(sz00,sdtasdt0(xk,sK5)) = sz00,
inference(superposition,[status(thm)],[c_6553,c_89]) ).
tcf(c_6721,plain,
sdtasdt0(sdtasdt0(xk,sK5),sz00) = sz00,
inference(superposition,[status(thm)],[c_6553,c_88]) ).
tcf(c_6746,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk) = sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_6561,c_6275]) ).
tcf(c_6747,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) = sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6561,c_133]) ).
tcf(c_6748,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) = sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6561,c_105]) ).
tcf(c_6749,plain,
sdtasdt0(sz10,sdtasdt0(xk,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6561,c_95]) ).
tcf(c_6750,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz10) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6561,c_94]) ).
tcf(c_6751,plain,
sdtpldt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6561,c_91]) ).
tcf(c_6752,plain,
sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6561,c_90]) ).
tcf(c_6753,plain,
sdtasdt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz00,
inference(superposition,[status(thm)],[c_6561,c_89]) ).
tcf(c_6754,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6561,c_88]) ).
tcf(c_6773,plain,
( sdtlseqdt0(sz10,sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6526,c_78]) ).
tcf(c_6774,plain,
( doDivides0(sz10,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6526,c_275]) ).
tcf(c_6777,plain,
doDivides0(sz10,sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_6774,c_96,c_6521]) ).
tcf(c_6778,plain,
( sdtlseqdt0(sz10,sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6773,c_96,c_6521]) ).
tcf(c_6836,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_78,c_98]) ).
tcf(c_6837,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_98]) ).
tcf(c_6838,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_93,c_98]) ).
tcf(c_6840,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,X0)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_98]) ).
tcf(c_6841,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_283,c_98]) ).
tcf(c_6843,plain,
( iLess0(sz00,xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6076,c_98]) ).
tcf(c_6848,plain,
( iLess0(sz00,sK4)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6092,c_98]) ).
tcf(c_6849,plain,
( iLess0(sz00,sK5)
| ( sz00 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6196,c_98]) ).
tcf(c_6850,plain,
( iLess0(sz00,sz10)
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6199,c_98]) ).
tcf(c_6851,plain,
( iLess0(sz10,xk)
| ( xk = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6616,c_98]) ).
tcf(c_6852,plain,
( iLess0(sz10,sK4)
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6613,c_98]) ).
tcf(c_6853,plain,
( iLess0(sz10,sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6610,c_98]) ).
tcf(c_6854,plain,
( iLess0(sK4,sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6621,c_98]) ).
tcf(c_6855,plain,
( iLess0(sK5,sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6620,c_98]) ).
tcf(c_6856,plain,
iLess0(sz10,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6851,c_61,c_96,c_49]) ).
tcf(c_6857,plain,
iLess0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_6850,c_97,c_92,c_96]) ).
tcf(c_6858,plain,
( iLess0(sz00,sK5)
| ( sz00 = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6849,c_65,c_92]) ).
tcf(c_6861,plain,
( iLess0(sz00,sK4)
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6848,c_64,c_92]) ).
tcf(c_6864,plain,
iLess0(sz00,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6843,c_60,c_92,c_49]) ).
tcf(c_6875,plain,
( iLess0(sz10,sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6853,c_65,c_96]) ).
tcf(c_6879,plain,
( iLess0(sz10,sK4)
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6852,c_62,c_64,c_96]) ).
tcf(c_6882,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6838,c_96]) ).
tcf(c_6887,plain,
( iLess0(sK5,sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6855,c_65,c_6553]) ).
tcf(c_6890,plain,
( iLess0(sK4,sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6854,c_64,c_6521]) ).
tcf(c_6925,plain,
( iLess0(sK4,xk)
| ( sz00 = sK5 )
| ( xk = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6617,c_98]) ).
tcf(c_6926,plain,
( iLess0(sK4,xk)
| ( sz00 = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6925,c_63,c_64,c_49]) ).
tcf(c_6950,plain,
( doDivides0(sdtasdt0(xk,sK4),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6531,c_275]) ).
tcf(c_6953,plain,
doDivides0(sdtasdt0(xk,sK4),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6950,c_92,c_6521]) ).
tcf(c_6954,plain,
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6527,c_78]) ).
tcf(c_6955,plain,
( doDivides0(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6527,c_275]) ).
tcf(c_6956,plain,
( sP1(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) != xk ) ),
inference(superposition,[status(thm)],[c_6527,c_76]) ).
tcf(c_6958,plain,
doDivides0(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_6955,c_96,c_6521]) ).
tcf(c_6959,plain,
( sP1(sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6956,c_96,c_6521]) ).
tcf(c_6962,plain,
sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_6954,c_97,c_96,c_6521]) ).
tcf(c_6980,plain,
( sdtlseqdt0(sK4,xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_67,c_107]) ).
tcf(c_6982,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_275,c_107]) ).
tcf(c_6999,plain,
sdtlseqdt0(sK4,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_6980,c_60,c_64,c_49]) ).
tcf(c_7021,plain,
! [X0: $i] :
( isPrime0(X0)
| sdtlseqdt0(sK9(X0),X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(X0)) ),
inference(superposition,[status(thm)],[c_114,c_107]) ).
tcf(c_7022,plain,
( isPrime0(xk)
| sP1(sK9(xk))
| ( xk = sz00 )
| ( xk = sz10 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_114,c_77]) ).
tcf(c_7023,plain,
( sP1(sK9(xk))
| ~ aNaturalNumber0(sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7022,c_68,c_60,c_61,c_49]) ).
tcf(c_7107,plain,
( aNaturalNumber0(sK2(sK4))
| ( sz00 = sK5 )
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_6926,c_52]) ).
tcf(c_7108,plain,
( aNaturalNumber0(sK2(sK4))
| ( sz00 = sK5 )
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7107,c_62,c_64]) ).
tcf(c_7124,plain,
( iLess0(sK4,xk)
| ( xk = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6999,c_98]) ).
tcf(c_7125,plain,
iLess0(sK4,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_7124,c_63,c_64,c_49]) ).
tcf(c_7126,plain,
( aNaturalNumber0(sK2(sK4))
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_7125,c_52]) ).
tcf(c_7127,plain,
( aNaturalNumber0(sK2(sK4))
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7126,c_62,c_64]) ).
tcf(c_7130,plain,
sP1(sK9(xk)),
inference(global_subsumption_just,[status(thm)],[c_7023,c_49,c_61,c_60,c_2175,c_7023]) ).
tcf(c_7144,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),xk) = sdtasdt0(xk,sK2(sK4)) ) ),
inference(superposition,[status(thm)],[c_7127,c_6275]) ).
tcf(c_7145,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sdtpldt0(sK2(sK4),X0) = sdtpldt0(X0,sK2(sK4)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7127,c_133]) ).
tcf(c_7146,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),X0) = sdtasdt0(X0,sK2(sK4)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7127,c_105]) ).
tcf(c_7147,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sz10,sK2(sK4)) = sK2(sK4) ) ),
inference(superposition,[status(thm)],[c_7127,c_95]) ).
tcf(c_7148,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),sz10) = sK2(sK4) ) ),
inference(superposition,[status(thm)],[c_7127,c_94]) ).
tcf(c_7149,plain,
( ( sz00 = sK4 )
| ( sdtpldt0(sz00,sK2(sK4)) = sK2(sK4) ) ),
inference(superposition,[status(thm)],[c_7127,c_91]) ).
tcf(c_7150,plain,
( ( sz00 = sK4 )
| ( sdtpldt0(sK2(sK4),sz00) = sK2(sK4) ) ),
inference(superposition,[status(thm)],[c_7127,c_90]) ).
tcf(c_7151,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sz00,sK2(sK4)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7127,c_89]) ).
tcf(c_7152,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7127,c_88]) ).
tcf(c_7194,plain,
( doDivides0(sdtasdt0(xk,sK5),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6721,c_275]) ).
tcf(c_7197,plain,
doDivides0(sdtasdt0(xk,sK5),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7194,c_92,c_6553]) ).
tcf(c_7200,plain,
( sdtlseqdt0(sz00,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6528,c_283]) ).
tcf(c_7202,plain,
sdtlseqdt0(sz00,sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_7200,c_92,c_6521]) ).
tcf(c_7215,plain,
( aNaturalNumber0(sK3(sK4))
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_7125,c_53]) ).
tcf(c_7216,plain,
( aNaturalNumber0(sK3(sK4))
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7215,c_62,c_64]) ).
tcf(c_7231,plain,
( sP0(sK2(sK4))
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_7125,c_58]) ).
tcf(c_7232,plain,
( sP0(sK2(sK4))
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7231,c_62,c_64]) ).
tcf(c_7247,plain,
( isPrime0(sK2(sK4))
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_7125,c_59]) ).
tcf(c_7248,plain,
( isPrime0(sK2(sK4))
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7247,c_62,c_64]) ).
tcf(c_7259,plain,
( ( sdtasdt0(sK4,sK8(sK4,xk)) = xk )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_67,c_101]) ).
tcf(c_7261,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK8(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_275,c_101]) ).
tcf(c_7262,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),sK8(sK9(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(X0)) ),
inference(superposition,[status(thm)],[c_114,c_101]) ).
tcf(c_7263,plain,
( ( sdtasdt0(sz00,sK8(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5963,c_101]) ).
tcf(c_7264,plain,
( ( sdtasdt0(xk,sK8(xk,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5918,c_101]) ).
tcf(c_7265,plain,
( ( sdtasdt0(sK4,sK8(sK4,sz00)) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5921,c_101]) ).
tcf(c_7266,plain,
( ( sdtasdt0(sK5,sK8(sK5,sz00)) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5960,c_101]) ).
tcf(c_7267,plain,
( ( sdtasdt0(sz10,sK8(sz10,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5966,c_101]) ).
tcf(c_7268,plain,
( ( sdtasdt0(xk,sK8(xk,xk)) = xk )
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6097,c_101]) ).
tcf(c_7269,plain,
( ( sdtasdt0(sK4,sK8(sK4,sK4)) = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_6203,c_101]) ).
tcf(c_7270,plain,
( ( sdtasdt0(sK5,sK8(sK5,sK5)) = sK5 )
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_6207,c_101]) ).
tcf(c_7271,plain,
( ( sdtasdt0(sz10,sK8(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6218,c_101]) ).
tcf(c_7272,plain,
( ( sdtasdt0(sz10,sK8(sz10,xk)) = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6223,c_101]) ).
tcf(c_7273,plain,
( ( sdtasdt0(sz10,sK8(sz10,sK4)) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6462,c_101]) ).
tcf(c_7274,plain,
( ( sdtasdt0(sz10,sK8(sz10,sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6466,c_101]) ).
tcf(c_7275,plain,
( ( sdtasdt0(sK4,sK8(sK4,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6522,c_101]) ).
tcf(c_7276,plain,
( ( sdtasdt0(sK5,sK8(sK5,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6554,c_101]) ).
tcf(c_7277,plain,
( ( sdtasdt0(sz10,sK8(sz10,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6777,c_101]) ).
tcf(c_7278,plain,
( ( sdtasdt0(sdtasdt0(xk,sK4),sK8(sdtasdt0(xk,sK4),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6953,c_101]) ).
tcf(c_7279,plain,
( ( sdtasdt0(sdtasdt0(xk,sK4),sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6958,c_101]) ).
tcf(c_7280,plain,
sdtasdt0(sz10,sK8(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_7271,c_96]) ).
tcf(c_7281,plain,
sdtasdt0(sK5,sK8(sK5,sK5)) = sK5,
inference(forward_subsumption_resolution,[status(thm)],[c_7270,c_65]) ).
tcf(c_7282,plain,
sdtasdt0(sK4,sK8(sK4,sK4)) = sK4,
inference(forward_subsumption_resolution,[status(thm)],[c_7269,c_64]) ).
tcf(c_7283,plain,
sdtasdt0(xk,sK8(xk,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_7268,c_49]) ).
tcf(c_7284,plain,
sdtasdt0(sz00,sK8(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7263,c_92]) ).
tcf(c_7285,plain,
sdtasdt0(sz10,sK8(sz10,sK5)) = sK5,
inference(forward_subsumption_resolution,[status(thm)],[c_7274,c_65,c_96]) ).
tcf(c_7286,plain,
sdtasdt0(sz10,sK8(sz10,sK4)) = sK4,
inference(forward_subsumption_resolution,[status(thm)],[c_7273,c_64,c_96]) ).
tcf(c_7287,plain,
sdtasdt0(sz10,sK8(sz10,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_7272,c_96,c_49]) ).
tcf(c_7288,plain,
sdtasdt0(sz10,sK8(sz10,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7267,c_92,c_96]) ).
tcf(c_7289,plain,
sdtasdt0(sK5,sK8(sK5,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7266,c_65,c_92]) ).
tcf(c_7290,plain,
sdtasdt0(sK4,sK8(sK4,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7265,c_64,c_92]) ).
tcf(c_7291,plain,
sdtasdt0(xk,sK8(xk,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7264,c_92,c_49]) ).
tcf(c_7292,plain,
sdtasdt0(sK4,sK8(sK4,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_7259,c_64,c_49]) ).
tcf(c_7293,plain,
sdtasdt0(sdtasdt0(xk,sK4),sK8(sdtasdt0(xk,sK4),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7278,c_92,c_6521]) ).
tcf(c_7294,plain,
sdtasdt0(sz10,sK8(sz10,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_7277,c_96,c_6521]) ).
tcf(c_7295,plain,
sdtasdt0(sK5,sK8(sK5,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_7276,c_65,c_6553]) ).
tcf(c_7296,plain,
sdtasdt0(sK4,sK8(sK4,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_7275,c_64,c_6521]) ).
tcf(c_7297,plain,
sdtasdt0(sdtasdt0(xk,sK4),sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_7279,c_6521]) ).
tcf(c_7343,plain,
( ( sdtasdt0(sdtasdt0(xk,sK5),sK8(sdtasdt0(xk,sK5),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_7197,c_101]) ).
tcf(c_7346,plain,
sdtasdt0(sdtasdt0(xk,sK5),sK8(sdtasdt0(xk,sK5),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7343,c_92,c_6553]) ).
tcf(c_7347,plain,
( iLess0(sz00,sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_7202,c_98]) ).
tcf(c_7348,plain,
( iLess0(sz00,sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7347,c_92,c_6521]) ).
tcf(c_7358,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK3(sK4),xk) = sdtasdt0(xk,sK3(sK4)) ) ),
inference(superposition,[status(thm)],[c_7216,c_6275]) ).
tcf(c_7359,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sdtpldt0(sK3(sK4),X0) = sdtpldt0(X0,sK3(sK4)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7216,c_133]) ).
tcf(c_7360,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sdtasdt0(sK3(sK4),X0) = sdtasdt0(X0,sK3(sK4)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7216,c_105]) ).
tcf(c_7361,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sz10,sK3(sK4)) = sK3(sK4) ) ),
inference(superposition,[status(thm)],[c_7216,c_95]) ).
tcf(c_7362,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK3(sK4),sz10) = sK3(sK4) ) ),
inference(superposition,[status(thm)],[c_7216,c_94]) ).
tcf(c_7363,plain,
( ( sz00 = sK4 )
| ( sdtpldt0(sz00,sK3(sK4)) = sK3(sK4) ) ),
inference(superposition,[status(thm)],[c_7216,c_91]) ).
tcf(c_7364,plain,
( ( sz00 = sK4 )
| ( sdtpldt0(sK3(sK4),sz00) = sK3(sK4) ) ),
inference(superposition,[status(thm)],[c_7216,c_90]) ).
tcf(c_7365,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sz00,sK3(sK4)) = sz00 ) ),
inference(superposition,[status(thm)],[c_7216,c_89]) ).
tcf(c_7366,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK3(sK4),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_7216,c_88]) ).
tcf(c_7443,plain,
( sP1(sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ( xk != sK5 ) ),
inference(superposition,[status(thm)],[c_7281,c_76]) ).
tcf(c_7445,plain,
( sP1(sK5)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ( xk != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7443,c_65]) ).
tcf(c_7465,plain,
( sdtlseqdt0(sz10,sK5)
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sK5)) ),
inference(superposition,[status(thm)],[c_7285,c_78]) ).
tcf(c_7469,plain,
( sdtlseqdt0(sz10,sK5)
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7465,c_96]) ).
tcf(c_7491,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_78,c_125]) ).
tcf(c_7493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_93,c_125]) ).
tcf(c_7496,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_283,c_125]) ).
tcf(c_7498,plain,
( ( xk = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,sz00) ),
inference(superposition,[status(thm)],[c_6076,c_125]) ).
tcf(c_7503,plain,
( ( sz00 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK4,sz00) ),
inference(superposition,[status(thm)],[c_6092,c_125]) ).
tcf(c_7504,plain,
( ( sz00 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK5,sz00) ),
inference(superposition,[status(thm)],[c_6196,c_125]) ).
tcf(c_7505,plain,
( ( sz10 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,sz00) ),
inference(superposition,[status(thm)],[c_6199,c_125]) ).
tcf(c_7506,plain,
( ( xk = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,sz10) ),
inference(superposition,[status(thm)],[c_6616,c_125]) ).
tcf(c_7507,plain,
( ( xk = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,sK4) ),
inference(superposition,[status(thm)],[c_6999,c_125]) ).
tcf(c_7508,plain,
( ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK4,sz10) ),
inference(superposition,[status(thm)],[c_6613,c_125]) ).
tcf(c_7509,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK5,sz10) ),
inference(superposition,[status(thm)],[c_6610,c_125]) ).
tcf(c_7510,plain,
( ( sdtasdt0(xk,sK4) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),sK4) ),
inference(superposition,[status(thm)],[c_6621,c_125]) ).
tcf(c_7511,plain,
( ( sdtasdt0(xk,sK5) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),sK5) ),
inference(superposition,[status(thm)],[c_6620,c_125]) ).
tcf(c_7513,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),sz00) ),
inference(superposition,[status(thm)],[c_7202,c_125]) ).
tcf(c_7514,plain,
~ sdtlseqdt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_7507,c_63,c_64,c_49]) ).
tcf(c_7515,plain,
~ sdtlseqdt0(xk,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_7506,c_61,c_96,c_49]) ).
tcf(c_7516,plain,
~ sdtlseqdt0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7505,c_97,c_92,c_96]) ).
tcf(c_7517,plain,
( ( sz00 = sK5 )
| ~ sdtlseqdt0(sK5,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7504,c_65,c_92]) ).
tcf(c_7520,plain,
( ( sz00 = sK4 )
| ~ sdtlseqdt0(sK4,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7503,c_64,c_92]) ).
tcf(c_7523,plain,
~ sdtlseqdt0(xk,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7498,c_60,c_92,c_49]) ).
tcf(c_7524,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ sdtlseqdt0(sK5,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7509,c_65,c_96]) ).
tcf(c_7528,plain,
( ( sz00 = sK4 )
| ~ sdtlseqdt0(sK4,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7508,c_62,c_64,c_96]) ).
tcf(c_7531,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7493,c_96]) ).
tcf(c_7536,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7513,c_92,c_6521]) ).
tcf(c_7539,plain,
( ( sdtasdt0(xk,sK5) = sK5 )
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7511,c_65,c_6553]) ).
tcf(c_7542,plain,
( ( sdtasdt0(xk,sK4) = sK4 )
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7510,c_64,c_6521]) ).
tcf(c_7581,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK10(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_78,c_129]) ).
tcf(c_7582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK10(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_129]) ).
tcf(c_7583,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sz10,sK10(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_93,c_129]) ).
tcf(c_7584,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK10(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_129]) ).
tcf(c_7585,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK10(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_129]) ).
tcf(c_7586,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK10(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_283,c_129]) ).
tcf(c_7587,plain,
( ( sdtpldt0(sz00,sK10(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6086,c_129]) ).
tcf(c_7588,plain,
( ( sdtpldt0(sz00,sK10(sz00,xk)) = xk )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6076,c_129]) ).
tcf(c_7589,plain,
( ( sdtpldt0(xk,sK10(xk,xk)) = xk )
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6077,c_129]) ).
tcf(c_7590,plain,
( ( sdtpldt0(sK4,sK10(sK4,sK4)) = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_6080,c_129]) ).
tcf(c_7591,plain,
( ( sdtpldt0(sK5,sK10(sK5,sK5)) = sK5 )
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_6083,c_129]) ).
tcf(c_7592,plain,
( ( sdtpldt0(sz10,sK10(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6089,c_129]) ).
tcf(c_7593,plain,
( ( sdtpldt0(sz00,sK10(sz00,sK4)) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6092,c_129]) ).
tcf(c_7594,plain,
( ( sdtpldt0(sz00,sK10(sz00,sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_6196,c_129]) ).
tcf(c_7595,plain,
( ( sdtpldt0(sz00,sK10(sz00,sz10)) = sz10 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6199,c_129]) ).
tcf(c_7596,plain,
( ( sdtpldt0(sz10,sK10(sz10,xk)) = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6616,c_129]) ).
tcf(c_7597,plain,
( ( sdtpldt0(sK4,sK10(sK4,xk)) = xk )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_6999,c_129]) ).
tcf(c_7598,plain,
( ( sz00 = sK4 )
| ( sdtpldt0(sz10,sK10(sz10,sK4)) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6613,c_129]) ).
tcf(c_7599,plain,
( ( sz00 = sK5 )
| ( sdtpldt0(sz10,sK10(sz10,sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_6610,c_129]) ).
tcf(c_7600,plain,
( ( sdtpldt0(sK4,sK10(sK4,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6621,c_129]) ).
tcf(c_7601,plain,
( ( sdtpldt0(sK5,sK10(sK5,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6620,c_129]) ).
tcf(c_7602,plain,
( ( sdtpldt0(sdtasdt0(xk,sK4),sK10(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6962,c_129]) ).
tcf(c_7603,plain,
( ( sdtpldt0(sz00,sK10(sz00,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_7202,c_129]) ).
tcf(c_7604,plain,
sdtpldt0(sz10,sK10(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_7592,c_96]) ).
tcf(c_7605,plain,
sdtpldt0(sK5,sK10(sK5,sK5)) = sK5,
inference(forward_subsumption_resolution,[status(thm)],[c_7591,c_65]) ).
tcf(c_7606,plain,
sdtpldt0(sK4,sK10(sK4,sK4)) = sK4,
inference(forward_subsumption_resolution,[status(thm)],[c_7590,c_64]) ).
tcf(c_7607,plain,
sdtpldt0(xk,sK10(xk,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_7589,c_49]) ).
tcf(c_7608,plain,
sdtpldt0(sz00,sK10(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7587,c_92]) ).
tcf(c_7611,plain,
sdtpldt0(sK4,sK10(sK4,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_7597,c_64,c_49]) ).
tcf(c_7612,plain,
sdtpldt0(sz10,sK10(sz10,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_7596,c_96,c_49]) ).
tcf(c_7613,plain,
sdtpldt0(sz00,sK10(sz00,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_7595,c_92,c_96]) ).
tcf(c_7614,plain,
sdtpldt0(sz00,sK10(sz00,sK5)) = sK5,
inference(forward_subsumption_resolution,[status(thm)],[c_7594,c_65,c_92]) ).
tcf(c_7615,plain,
sdtpldt0(sz00,sK10(sz00,sK4)) = sK4,
inference(forward_subsumption_resolution,[status(thm)],[c_7593,c_64,c_92]) ).
tcf(c_7616,plain,
sdtpldt0(sz00,sK10(sz00,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_7588,c_92,c_49]) ).
tcf(c_7625,plain,
( ( sz00 = sK5 )
| ( sdtpldt0(sz10,sK10(sz10,sK5)) = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7599,c_65,c_96]) ).
tcf(c_7628,plain,
( ( sz00 = sK4 )
| ( sdtpldt0(sz10,sK10(sz10,sK4)) = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7598,c_64,c_96]) ).
tcf(c_7631,plain,
sdtpldt0(sz00,sK10(sz00,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_7603,c_92,c_6521]) ).
tcf(c_7632,plain,
sdtpldt0(sK5,sK10(sK5,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_7601,c_65,c_6553]) ).
tcf(c_7633,plain,
sdtpldt0(sK4,sK10(sK4,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_7600,c_64,c_6521]) ).
tcf(c_7634,plain,
sdtpldt0(sdtasdt0(xk,sK4),sK10(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_7602,c_6521]) ).
tcf(c_7635,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sz10,sK10(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7583,c_96]) ).
tcf(c_7729,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK2(X0),sK8(sK2(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_55,c_101]) ).
tcf(c_7731,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(X0),X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_55,c_107]) ).
tcf(c_7732,plain,
( sP1(sK2(xk))
| ( xk = sz00 )
| ( xk = sz10 )
| ~ aNaturalNumber0(xk)
| ~ iLess0(xk,xk)
| ~ aNaturalNumber0(sK2(xk)) ),
inference(superposition,[status(thm)],[c_55,c_77]) ).
tcf(c_7733,plain,
( sP1(sK2(xk))
| ~ iLess0(xk,xk)
| ~ aNaturalNumber0(sK2(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7732,c_60,c_61,c_49]) ).
tcf(c_7798,plain,
( sP1(sK2(xk))
| ~ iLess0(xk,xk) ),
inference(global_subsumption_just,[status(thm)],[c_7733,c_49,c_61,c_60,c_6449,c_7733]) ).
tcf(c_7951,plain,
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6713,c_78]) ).
tcf(c_7952,plain,
( doDivides0(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6713,c_275]) ).
tcf(c_7953,plain,
( sP1(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) != xk ) ),
inference(superposition,[status(thm)],[c_6713,c_76]) ).
tcf(c_7954,plain,
( aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6713,c_106]) ).
tcf(c_7955,plain,
aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(forward_subsumption_resolution,[status(thm)],[c_7954,c_49,c_6553]) ).
tcf(c_7956,plain,
doDivides0(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(forward_subsumption_resolution,[status(thm)],[c_7952,c_49,c_6553]) ).
tcf(c_7957,plain,
( sP1(sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7953,c_49,c_6553]) ).
tcf(c_7960,plain,
sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(forward_subsumption_resolution,[status(thm)],[c_7951,c_60,c_49,c_6553]) ).
tcf(c_7993,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,X1)
| ( X1 = sz00 )
| ( X1 = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X1,xk)
| ~ aNaturalNumber0(sK2(X1))
| ~ doDivides0(X0,sK2(X1)) ),
inference(superposition,[status(thm)],[c_55,c_110]) ).
tcf(c_7994,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4) ),
inference(superposition,[status(thm)],[c_67,c_110]) ).
tcf(c_7996,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_275,c_110]) ).
tcf(c_7997,plain,
! [X0: $i,X1: $i] :
( isPrime0(X1)
| doDivides0(X0,X1)
| ( X1 = sz00 )
| ( X1 = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(X1))
| ~ doDivides0(X0,sK9(X1)) ),
inference(superposition,[status(thm)],[c_114,c_110]) ).
tcf(c_7999,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(superposition,[status(thm)],[c_5918,c_110]) ).
tcf(c_8000,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4) ),
inference(superposition,[status(thm)],[c_5921,c_110]) ).
tcf(c_8001,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5) ),
inference(superposition,[status(thm)],[c_5960,c_110]) ).
tcf(c_8002,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5966,c_110]) ).
tcf(c_8007,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_6223,c_110]) ).
tcf(c_8008,plain,
! [X0: $i] :
( doDivides0(X0,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_6462,c_110]) ).
tcf(c_8009,plain,
! [X0: $i] :
( doDivides0(X0,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_6466,c_110]) ).
tcf(c_8010,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6522,c_110]) ).
tcf(c_8011,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6554,c_110]) ).
tcf(c_8012,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6777,c_110]) ).
tcf(c_8013,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ doDivides0(X0,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6953,c_110]) ).
tcf(c_8015,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ doDivides0(X0,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_7197,c_110]) ).
tcf(c_8016,plain,
! [X0: $i] :
( doDivides0(X0,sK5)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8009,c_65,c_96]) ).
tcf(c_8020,plain,
! [X0: $i] :
( doDivides0(X0,sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8008,c_64,c_96]) ).
tcf(c_8024,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8007,c_96,c_49]) ).
tcf(c_8028,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8002,c_92,c_96]) ).
tcf(c_8032,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8001,c_65,c_92]) ).
tcf(c_8036,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8000,c_64,c_92]) ).
tcf(c_8040,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7999,c_92,c_49]) ).
tcf(c_8044,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7994,c_64,c_49]) ).
tcf(c_8048,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8015,c_92,c_6553]) ).
tcf(c_8052,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8013,c_92,c_6521]) ).
tcf(c_8056,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8012,c_96,c_6521]) ).
tcf(c_8060,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8011,c_65,c_6553]) ).
tcf(c_8064,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8010,c_64,c_6521]) ).
tcf(c_8123,plain,
sdtasdt0(xk,sz10) = xk,
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_8140,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_78,c_124]) ).
tcf(c_8142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ( X1 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_93,c_124]) ).
tcf(c_8144,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_123,c_124]) ).
tcf(c_8145,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_283,c_124]) ).
tcf(c_8147,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_6076,c_124]) ).
tcf(c_8152,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_6092,c_124]) ).
tcf(c_8153,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_6196,c_124]) ).
tcf(c_8154,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_6199,c_124]) ).
tcf(c_8155,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_6616,c_124]) ).
tcf(c_8156,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_6999,c_124]) ).
tcf(c_8157,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_6613,c_124]) ).
tcf(c_8158,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| ( sz00 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_6610,c_124]) ).
tcf(c_8159,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6621,c_124]) ).
tcf(c_8160,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6620,c_124]) ).
tcf(c_8162,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_7202,c_124]) ).
tcf(c_8163,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8156,c_64,c_49]) ).
tcf(c_8167,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8155,c_96,c_49]) ).
tcf(c_8171,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8154,c_92,c_96]) ).
tcf(c_8175,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8153,c_65,c_92]) ).
tcf(c_8179,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8152,c_64,c_92]) ).
tcf(c_8183,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8147,c_92,c_49]) ).
tcf(c_8193,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8162,c_92,c_6521]) ).
tcf(c_8197,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8160,c_65,c_6553]) ).
tcf(c_8201,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8159,c_64,c_6521]) ).
tcf(c_8205,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| ( sz00 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8158,c_65,c_96]) ).
tcf(c_8210,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8157,c_64,c_96]) ).
tcf(c_8221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ( X1 = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8142,c_96]) ).
tcf(c_8291,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk) = sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(superposition,[status(thm)],[c_7955,c_6275]) ).
tcf(c_8292,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0) = sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7955,c_133]) ).
tcf(c_8293,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0) = sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7955,c_105]) ).
tcf(c_8294,plain,
sdtasdt0(sz10,sdtasdt0(xk,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_7955,c_95]) ).
tcf(c_8295,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz10) = sdtasdt0(xk,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_7955,c_94]) ).
tcf(c_8296,plain,
sdtpldt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_7955,c_91]) ).
tcf(c_8297,plain,
sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz00) = sdtasdt0(xk,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_7955,c_90]) ).
tcf(c_8298,plain,
sdtasdt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz00,
inference(superposition,[status(thm)],[c_7955,c_89]) ).
tcf(c_8299,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7955,c_88]) ).
tcf(c_8511,plain,
( sdtlseqdt0(sz10,sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6716,c_78]) ).
tcf(c_8512,plain,
( doDivides0(sz10,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6716,c_275]) ).
tcf(c_8515,plain,
doDivides0(sz10,sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_8512,c_96,c_6553]) ).
tcf(c_8516,plain,
( sdtlseqdt0(sz10,sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8511,c_96,c_6553]) ).
tcf(c_8689,plain,
( ( sz00 = sK4 )
| ( xk = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ( sdtasdt0(xk,sK4) != sz00 ) ),
inference(superposition,[status(thm)],[c_6474,c_83]) ).
tcf(c_8690,plain,
( ( sz00 = sK5 )
| ( xk = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ( sdtasdt0(xk,sK5) != sz00 ) ),
inference(superposition,[status(thm)],[c_6475,c_83]) ).
tcf(c_8691,plain,
( ( xk = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6523,c_83]) ).
tcf(c_8697,plain,
( ( xk = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6713,c_83]) ).
tcf(c_8705,plain,
( ( sz10 = sz00 )
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ( sz00 != sK5 ) ),
inference(superposition,[status(thm)],[c_7285,c_83]) ).
tcf(c_8713,plain,
( ( sz00 = sK5 )
| ( sdtasdt0(xk,sK5) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8690,c_60,c_65,c_49]) ).
tcf(c_8716,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(xk,sK4) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8689,c_60,c_64,c_49]) ).
tcf(c_8719,plain,
( ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ( sz00 != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8705,c_97,c_96]) ).
tcf(c_8723,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8697,c_60,c_49,c_6553]) ).
tcf(c_8726,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8691,c_60,c_49,c_6521]) ).
tcf(c_8741,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_8515,c_110]) ).
tcf(c_8742,plain,
( ( sdtasdt0(sz10,sK8(sz10,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_8515,c_101]) ).
tcf(c_8745,plain,
sdtasdt0(sz10,sK8(sz10,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_8742,c_96,c_6553]) ).
tcf(c_8746,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8741,c_96,c_6553]) ).
tcf(c_8751,plain,
( ( sz10 = sz00 )
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ( sz00 != sK4 ) ),
inference(superposition,[status(thm)],[c_7286,c_83]) ).
tcf(c_8753,plain,
( sdtlseqdt0(sz10,sK4)
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sK4)) ),
inference(superposition,[status(thm)],[c_7286,c_78]) ).
tcf(c_8757,plain,
( sdtlseqdt0(sz10,sK4)
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8753,c_96]) ).
tcf(c_8761,plain,
( ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ( sz00 != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8751,c_97,c_96]) ).
tcf(c_8906,plain,
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(xk,sK5))
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6717,c_78]) ).
tcf(c_8907,plain,
( doDivides0(sdtasdt0(xk,sK5),sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6717,c_275]) ).
tcf(c_8908,plain,
( sP1(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) != xk ) ),
inference(superposition,[status(thm)],[c_6717,c_76]) ).
tcf(c_8910,plain,
doDivides0(sdtasdt0(xk,sK5),sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_8907,c_96,c_6553]) ).
tcf(c_8911,plain,
( sP1(sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8908,c_96,c_6553]) ).
tcf(c_8914,plain,
sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_8906,c_97,c_96,c_6553]) ).
tcf(c_8933,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,xk),X0) = sdtasdt0(X1,sdtasdt0(xk,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_104]) ).
tcf(c_8934,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sK4),X0) = sdtasdt0(X1,sdtasdt0(sK4,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64,c_104]) ).
tcf(c_8935,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sK5),X0) = sdtasdt0(X1,sdtasdt0(sK5,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_104]) ).
tcf(c_8938,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sz00),X0) = sdtasdt0(X1,sdtasdt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_104]) ).
tcf(c_8939,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sz10),X0) = sdtasdt0(X1,sdtasdt0(sz10,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_104]) ).
tcf(c_8940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X3,sK8(X0,X1)),X2) = sdtasdt0(X3,sdtasdt0(sK8(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_104]) ).
tcf(c_8941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X3,sdtasdt0(X1,X0)),X2) = sdtasdt0(X3,sdtasdt0(sdtasdt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_104]) ).
tcf(c_8942,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sdtasdt0(X2,sK9(X0)),X1) = sdtasdt0(X2,sdtasdt0(sK9(X0),X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_104]) ).
tcf(c_8943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X3,sK10(X0,X1)),X2) = sdtasdt0(X3,sdtasdt0(sK10(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_104]) ).
tcf(c_8944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(X3,sdtpldt0(X1,X0)),X2) = sdtasdt0(X3,sdtasdt0(sdtpldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_104]) ).
tcf(c_8947,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtasdt0(xk,sK4)),X0) = sdtasdt0(X1,sdtasdt0(sdtasdt0(xk,sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6521,c_104]) ).
tcf(c_8948,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtasdt0(xk,sK5)),X0) = sdtasdt0(X1,sdtasdt0(sdtasdt0(xk,sK5),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6553,c_104]) ).
tcf(c_8949,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtasdt0(xk,sdtasdt0(xk,sK4))),X0) = sdtasdt0(X1,sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6561,c_104]) ).
tcf(c_8950,plain,
! [X0: $i,X1: $i] :
( ( sz00 = sK4 )
| ( sdtasdt0(sdtasdt0(X1,sK2(sK4)),X0) = sdtasdt0(X1,sdtasdt0(sK2(sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7127,c_104]) ).
tcf(c_8951,plain,
! [X0: $i,X1: $i] :
( ( sz00 = sK4 )
| ( sdtasdt0(sdtasdt0(X1,sK3(sK4)),X0) = sdtasdt0(X1,sdtasdt0(sK3(sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7216,c_104]) ).
tcf(c_8952,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtasdt0(xk,sdtasdt0(xk,sK5))),X0) = sdtasdt0(X1,sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7955,c_104]) ).
tcf(c_9161,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sK2(X0) = sz10 )
| ( sK2(X0) = X0 )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_55,c_117]) ).
tcf(c_9164,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_275,c_117]) ).
tcf(c_9178,plain,
( ( sz10 = sK4 )
| ( sdtasdt0(xk,sK4) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ isPrime0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6522,c_117]) ).
tcf(c_9179,plain,
( ( sz10 = sK5 )
| ( sdtasdt0(xk,sK5) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ isPrime0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6554,c_117]) ).
tcf(c_9190,plain,
( ( sz10 = sK5 )
| ( sdtasdt0(xk,sK5) = sK5 )
| ~ isPrime0(sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9179,c_65,c_6553]) ).
tcf(c_9194,plain,
( ( sdtasdt0(xk,sK4) = sK4 )
| ~ isPrime0(sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9178,c_62,c_64,c_6521]) ).
tcf(c_9219,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,xk),X0) = sdtpldt0(X1,sdtpldt0(xk,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_132]) ).
tcf(c_9220,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sK4),X0) = sdtpldt0(X1,sdtpldt0(sK4,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64,c_132]) ).
tcf(c_9221,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sK5),X0) = sdtpldt0(X1,sdtpldt0(sK5,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_132]) ).
tcf(c_9224,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sz00),X0) = sdtpldt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_132]) ).
tcf(c_9225,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sz10),X0) = sdtpldt0(X1,sdtpldt0(sz10,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_132]) ).
tcf(c_9226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X3,sK8(X0,X1)),X2) = sdtpldt0(X3,sdtpldt0(sK8(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_132]) ).
tcf(c_9227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X3,sdtasdt0(X1,X0)),X2) = sdtpldt0(X3,sdtpldt0(sdtasdt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_132]) ).
tcf(c_9228,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sdtpldt0(X2,sK9(X0)),X1) = sdtpldt0(X2,sdtpldt0(sK9(X0),X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_132]) ).
tcf(c_9229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X3,sK10(X0,X1)),X2) = sdtpldt0(X3,sdtpldt0(sK10(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_132]) ).
tcf(c_9230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(X3,sdtpldt0(X1,X0)),X2) = sdtpldt0(X3,sdtpldt0(sdtpldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_132]) ).
tcf(c_9233,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtasdt0(xk,sK4)),X0) = sdtpldt0(X1,sdtpldt0(sdtasdt0(xk,sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6521,c_132]) ).
tcf(c_9234,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtasdt0(xk,sK5)),X0) = sdtpldt0(X1,sdtpldt0(sdtasdt0(xk,sK5),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6553,c_132]) ).
tcf(c_9235,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtasdt0(xk,sdtasdt0(xk,sK4))),X0) = sdtpldt0(X1,sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6561,c_132]) ).
tcf(c_9236,plain,
! [X0: $i,X1: $i] :
( ( sz00 = sK4 )
| ( sdtpldt0(sdtpldt0(X1,sK2(sK4)),X0) = sdtpldt0(X1,sdtpldt0(sK2(sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7127,c_132]) ).
tcf(c_9237,plain,
! [X0: $i,X1: $i] :
( ( sz00 = sK4 )
| ( sdtpldt0(sdtpldt0(X1,sK3(sK4)),X0) = sdtpldt0(X1,sdtpldt0(sK3(sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7216,c_132]) ).
tcf(c_9238,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtasdt0(xk,sdtasdt0(xk,sK5))),X0) = sdtpldt0(X1,sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7955,c_132]) ).
tcf(c_9353,plain,
( sP1(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_8123,c_76]) ).
tcf(c_9355,plain,
sP1(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_9353,c_96,c_49]) ).
tcf(c_9369,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(X0,X1) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ iLess0(sdtpldt0(X0,X1),xk)
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_55,c_108]) ).
tcf(c_9371,plain,
! [X0: $i,X1: $i] :
( isPrime0(sdtpldt0(X0,X1))
| doDivides0(sK9(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(X0,X1) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK9(sdtpldt0(X0,X1)))
| ~ doDivides0(sK9(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_114,c_108]) ).
tcf(c_9421,plain,
( ( sdtasdt0(sdtasdt0(xk,sK5),sK8(sdtasdt0(xk,sK5),sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_8910,c_101]) ).
tcf(c_9424,plain,
sdtasdt0(sdtasdt0(xk,sK5),sK8(sdtasdt0(xk,sK5),sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_9421,c_6553]) ).
tcf(c_9464,plain,
( ( sdtpldt0(sdtasdt0(xk,sK5),sK10(sdtasdt0(xk,sK5),sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_8914,c_129]) ).
tcf(c_9467,plain,
sdtpldt0(sdtasdt0(xk,sK5),sK10(sdtasdt0(xk,sK5),sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_9464,c_6553]) ).
tcf(c_9468,plain,
( ( sz10 = sz00 )
| ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_7288,c_83]) ).
tcf(c_9470,plain,
( sdtlseqdt0(sz10,sz00)
| ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_7288,c_78]) ).
tcf(c_9474,plain,
( ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9470,c_7516,c_96]) ).
tcf(c_9478,plain,
( ( sz00 = sK5 )
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK8(sK5,sz00)) ),
inference(superposition,[status(thm)],[c_7289,c_83]) ).
tcf(c_9480,plain,
( sdtlseqdt0(sK5,sz00)
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK8(sK5,sz00)) ),
inference(superposition,[status(thm)],[c_7289,c_78]) ).
tcf(c_9484,plain,
( sdtlseqdt0(sK5,sz00)
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sK5,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9480,c_65]) ).
tcf(c_9488,plain,
( ( sz00 = sK5 )
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sK5,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9478,c_65]) ).
tcf(c_9591,plain,
( sdtlseqdt0(sz00,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6718,c_283]) ).
tcf(c_9594,plain,
sdtlseqdt0(sz00,sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_9591,c_92,c_6553]) ).
tcf(c_9621,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_109,c_117]) ).
tcf(c_9622,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_109,c_110]) ).
tcf(c_9623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK8(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_109,c_101]) ).
tcf(c_9625,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_109,c_107]) ).
tcf(c_9743,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5938,c_130]) ).
tcf(c_9744,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_5935,c_130]) ).
tcf(c_9745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK4,X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_5936,c_130]) ).
tcf(c_9746,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK5,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_5937,c_130]) ).
tcf(c_9747,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_5939,c_130]) ).
tcf(c_9748,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xk ) ),
inference(superposition,[status(thm)],[c_5944,c_130]) ).
tcf(c_9749,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_5945,c_130]) ).
tcf(c_9750,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_5946,c_130]) ).
tcf(c_9751,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_5948,c_130]) ).
tcf(c_9752,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6528,c_130]) ).
tcf(c_9753,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtpldt0(sdtasdt0(xk,sK4),X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6529,c_130]) ).
tcf(c_9754,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6718,c_130]) ).
tcf(c_9758,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9743,c_92]) ).
tcf(c_9762,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9751,c_92,c_96]) ).
tcf(c_9766,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9750,c_65,c_92]) ).
tcf(c_9770,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9749,c_64,c_92]) ).
tcf(c_9774,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9748,c_92,c_49]) ).
tcf(c_9778,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9747,c_92,c_96]) ).
tcf(c_9782,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK5,X0) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9746,c_65,c_92]) ).
tcf(c_9786,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK4,X0) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9745,c_64,c_92]) ).
tcf(c_9790,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9744,c_92,c_49]) ).
tcf(c_9802,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9754,c_92,c_6553]) ).
tcf(c_9806,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xk,sK4),X0) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9753,c_92,c_6521]) ).
tcf(c_9810,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9752,c_92,c_6521]) ).
tcf(c_9845,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_5938,c_131]) ).
tcf(c_9846,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xk ) ),
inference(superposition,[status(thm)],[c_5935,c_131]) ).
tcf(c_9847,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK4 ) ),
inference(superposition,[status(thm)],[c_5936,c_131]) ).
tcf(c_9848,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK5 ) ),
inference(superposition,[status(thm)],[c_5937,c_131]) ).
tcf(c_9849,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(superposition,[status(thm)],[c_5939,c_131]) ).
tcf(c_9850,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != xk ) ),
inference(superposition,[status(thm)],[c_5944,c_131]) ).
tcf(c_9851,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK4) != sK4 ) ),
inference(superposition,[status(thm)],[c_5945,c_131]) ).
tcf(c_9852,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK5) != sK5 ) ),
inference(superposition,[status(thm)],[c_5946,c_131]) ).
tcf(c_9853,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_5948,c_131]) ).
tcf(c_9854,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtpldt0(X0,sdtasdt0(xk,sK4)) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6528,c_131]) ).
tcf(c_9855,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6529,c_131]) ).
tcf(c_9856,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtpldt0(X0,sdtasdt0(xk,sK5)) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6718,c_131]) ).
tcf(c_9860,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9845,c_92]) ).
tcf(c_9864,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9853,c_92,c_96]) ).
tcf(c_9868,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK5) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9852,c_65,c_92]) ).
tcf(c_9872,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK4) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9851,c_64,c_92]) ).
tcf(c_9876,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9850,c_92,c_49]) ).
tcf(c_9880,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9849,c_92,c_96]) ).
tcf(c_9884,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9848,c_65,c_92]) ).
tcf(c_9888,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9847,c_64,c_92]) ).
tcf(c_9892,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9846,c_92,c_49]) ).
tcf(c_9904,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xk,sK5)) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9856,c_92,c_6553]) ).
tcf(c_9908,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9855,c_92,c_6521]) ).
tcf(c_9912,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xk,sK4)) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9854,c_92,c_6521]) ).
tcf(c_9928,plain,
( ( sz00 = sK4 )
| ( sz10 = sK4 )
| ( sdtasdt0(sK2(sK4),sK3(sK4)) = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_7125,c_54]) ).
tcf(c_9929,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),sK3(sK4)) = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9928,c_62,c_64]) ).
tcf(c_9951,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_9594,c_124]) ).
tcf(c_9952,plain,
( ( sdtpldt0(sz00,sK10(sz00,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_9594,c_129]) ).
tcf(c_9953,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),sz00) ),
inference(superposition,[status(thm)],[c_9594,c_125]) ).
tcf(c_9954,plain,
( iLess0(sz00,sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_9594,c_98]) ).
tcf(c_9955,plain,
( iLess0(sz00,sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9954,c_92,c_6553]) ).
tcf(c_9958,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9953,c_92,c_6553]) ).
tcf(c_9961,plain,
sdtpldt0(sz00,sK10(sz00,sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_9952,c_92,c_6553]) ).
tcf(c_9962,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9951,c_92,c_6553]) ).
tcf(c_9974,plain,
( ( sz00 = sK4 )
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK8(sK4,sz00)) ),
inference(superposition,[status(thm)],[c_7290,c_83]) ).
tcf(c_9976,plain,
( sdtlseqdt0(sK4,sz00)
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK8(sK4,sz00)) ),
inference(superposition,[status(thm)],[c_7290,c_78]) ).
tcf(c_9980,plain,
( sdtlseqdt0(sK4,sz00)
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sK4,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9976,c_64]) ).
tcf(c_9984,plain,
( ( sz00 = sK4 )
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sK4,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9974,c_64]) ).
tcf(c_9988,plain,
( ( xk = sz00 )
| ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8(xk,sz00)) ),
inference(superposition,[status(thm)],[c_7291,c_83]) ).
tcf(c_9990,plain,
( sdtlseqdt0(xk,sz00)
| ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK8(xk,sz00)) ),
inference(superposition,[status(thm)],[c_7291,c_78]) ).
tcf(c_9994,plain,
( ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(sK8(xk,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9990,c_7523,c_49]) ).
tcf(c_10168,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtpldt0(sdtasdt0(xk,sK5),X0) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6719,c_130]) ).
tcf(c_10169,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6719,c_131]) ).
tcf(c_10170,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10169,c_92,c_6553]) ).
tcf(c_10174,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xk,sK5),X0) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10168,c_92,c_6553]) ).
tcf(c_10186,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xk),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(xk,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_102]) ).
tcf(c_10187,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK4),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK4,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64,c_102]) ).
tcf(c_10188,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK5),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK5,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_102]) ).
tcf(c_10191,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_102]) ).
tcf(c_10192,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sz10),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sz10,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_102]) ).
tcf(c_10193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK8(X0,X1)),sdtasdt0(X3,X2)) = sdtasdt0(X3,sdtpldt0(sK8(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_102]) ).
tcf(c_10194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X1,X0)),sdtasdt0(X3,X2)) = sdtasdt0(X3,sdtpldt0(sdtasdt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_102]) ).
tcf(c_10195,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sdtasdt0(X2,sK9(X0)),sdtasdt0(X2,X1)) = sdtasdt0(X2,sdtpldt0(sK9(X0),X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_102]) ).
tcf(c_10196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK10(X0,X1)),sdtasdt0(X3,X2)) = sdtasdt0(X3,sdtpldt0(sK10(X0,X1),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_102]) ).
tcf(c_10197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X1,X0)),sdtasdt0(X3,X2)) = sdtasdt0(X3,sdtpldt0(sdtpldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_102]) ).
tcf(c_10200,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xk,sK4)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtasdt0(xk,sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6521,c_102]) ).
tcf(c_10201,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xk,sK5)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtasdt0(xk,sK5),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6553,c_102]) ).
tcf(c_10202,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6561,c_102]) ).
tcf(c_10203,plain,
! [X0: $i,X1: $i] :
( ( sz00 = sK4 )
| ( sdtpldt0(sdtasdt0(X1,sK2(sK4)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK2(sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7127,c_102]) ).
tcf(c_10204,plain,
! [X0: $i,X1: $i] :
( ( sz00 = sK4 )
| ( sdtpldt0(sdtasdt0(X1,sK3(sK4)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK3(sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7216,c_102]) ).
tcf(c_10205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xk,sdtasdt0(xk,sK5))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7955,c_102]) ).
tcf(c_10378,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xk,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xk,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_103]) ).
tcf(c_10379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK4,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK4,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64,c_103]) ).
tcf(c_10380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK5,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK5,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_65,c_103]) ).
tcf(c_10383,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_103]) ).
tcf(c_10384,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz10,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sz10,X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_96,c_103]) ).
tcf(c_10385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK8(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sK8(X0,X1),X2),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_103]) ).
tcf(c_10386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X1,X0),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X0),X2),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_103]) ).
tcf(c_10387,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sdtasdt0(sK9(X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(sK9(X0),X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_103]) ).
tcf(c_10388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK10(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sK10(X0,X1),X2),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_103]) ).
tcf(c_10389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X1,X0),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X0),X2),X3) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_103]) ).
tcf(c_10392,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xk,sK4),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xk,sK4),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6521,c_103]) ).
tcf(c_10393,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xk,sK5),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xk,sK5),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6553,c_103]) ).
tcf(c_10394,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6561,c_103]) ).
tcf(c_10395,plain,
! [X0: $i,X1: $i] :
( ( sz00 = sK4 )
| ( sdtpldt0(sdtasdt0(sK2(sK4),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK2(sK4),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7127,c_103]) ).
tcf(c_10396,plain,
! [X0: $i,X1: $i] :
( ( sz00 = sK4 )
| ( sdtpldt0(sdtasdt0(sK3(sK4),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK3(sK4),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7216,c_103]) ).
tcf(c_10397,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7955,c_103]) ).
tcf(c_10557,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5938,c_119]) ).
tcf(c_10558,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xk,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5935,c_119]) ).
tcf(c_10559,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(sK4,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5936,c_119]) ).
tcf(c_10560,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(sK5,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5937,c_119]) ).
tcf(c_10561,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5939,c_119]) ).
tcf(c_10562,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz00,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_5944,c_119]) ).
tcf(c_10563,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(sz00,X0))
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_5945,c_119]) ).
tcf(c_10564,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(sz00,X0))
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_5946,c_119]) ).
tcf(c_10565,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5948,c_119]) ).
tcf(c_10566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtpldt0(sz00,X0))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(superposition,[status(thm)],[c_6528,c_119]) ).
tcf(c_10567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtpldt0(sdtasdt0(xk,sK4),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6529,c_119]) ).
tcf(c_10568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtpldt0(sz00,X0))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(superposition,[status(thm)],[c_6718,c_119]) ).
tcf(c_10569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtpldt0(sdtasdt0(xk,sK5),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6719,c_119]) ).
tcf(c_10574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5938,c_119]) ).
tcf(c_10575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5935,c_119]) ).
tcf(c_10576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK4,X0),sK4)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5936,c_119]) ).
tcf(c_10577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK5,X0),sK5)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5937,c_119]) ).
tcf(c_10578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5939,c_119]) ).
tcf(c_10579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_5944,c_119]) ).
tcf(c_10580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_5945,c_119]) ).
tcf(c_10581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_5946,c_119]) ).
tcf(c_10582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5948,c_119]) ).
tcf(c_10583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6528,c_119]) ).
tcf(c_10584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xk,sK4),X0),sdtasdt0(xk,sK4))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6529,c_119]) ).
tcf(c_10585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6718,c_119]) ).
tcf(c_10586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xk,sK5),X0),sdtasdt0(xk,sK5))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6719,c_119]) ).
tcf(c_10591,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_119,c_124]) ).
tcf(c_10592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK10(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_119,c_129]) ).
tcf(c_10593,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_119,c_125]) ).
tcf(c_10594,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_119,c_98]) ).
tcf(c_10595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10574,c_92]) ).
tcf(c_10600,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10557,c_92]) ).
tcf(c_10605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10582,c_92,c_96]) ).
tcf(c_10610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10581,c_65,c_92]) ).
tcf(c_10615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10580,c_64,c_92]) ).
tcf(c_10620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10579,c_92,c_49]) ).
tcf(c_10625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10578,c_92,c_96]) ).
tcf(c_10630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK5,X0),sK5)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10577,c_65,c_92]) ).
tcf(c_10635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK4,X0),sK4)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10576,c_64,c_92]) ).
tcf(c_10640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10575,c_92,c_49]) ).
tcf(c_10645,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10565,c_92,c_96]) ).
tcf(c_10650,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(sz00,X0))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10564,c_65,c_92]) ).
tcf(c_10655,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(sz00,X0))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10563,c_64,c_92]) ).
tcf(c_10660,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz00,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10562,c_92,c_49]) ).
tcf(c_10665,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10561,c_92,c_96]) ).
tcf(c_10670,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(sK5,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10560,c_65,c_92]) ).
tcf(c_10675,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(sK4,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10559,c_64,c_92]) ).
tcf(c_10680,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xk,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10558,c_92,c_49]) ).
tcf(c_10725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xk,sK5),X0),sdtasdt0(xk,sK5))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10586,c_92,c_6553]) ).
tcf(c_10730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xk,sK4),X0),sdtasdt0(xk,sK4))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10584,c_92,c_6521]) ).
tcf(c_10735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtpldt0(sdtasdt0(xk,sK5),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10569,c_92,c_6553]) ).
tcf(c_10740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtpldt0(sdtasdt0(xk,sK4),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10567,c_92,c_6521]) ).
tcf(c_10745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10585,c_92,c_6553]) ).
tcf(c_10750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10583,c_92,c_6521]) ).
tcf(c_10755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtpldt0(sz00,X0))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10568,c_92,c_6553]) ).
tcf(c_10760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtpldt0(sz00,X0))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10566,c_92,c_6521]) ).
tcf(c_10912,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5938,c_121]) ).
tcf(c_10913,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sz00))
| ( X0 = xk )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_5935,c_121]) ).
tcf(c_10914,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(X0,sz00))
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_5936,c_121]) ).
tcf(c_10915,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(X0,sz00))
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_5937,c_121]) ).
tcf(c_10916,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5939,c_121]) ).
tcf(c_10917,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5944,c_121]) ).
tcf(c_10918,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(X0,sK4))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5945,c_121]) ).
tcf(c_10919,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(X0,sK5))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5946,c_121]) ).
tcf(c_10920,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5948,c_121]) ).
tcf(c_10921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtpldt0(X0,sdtasdt0(xk,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6528,c_121]) ).
tcf(c_10922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtpldt0(X0,sz00))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(superposition,[status(thm)],[c_6529,c_121]) ).
tcf(c_10923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtpldt0(X0,sdtasdt0(xk,sK5)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6718,c_121]) ).
tcf(c_10924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtpldt0(X0,sz00))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(superposition,[status(thm)],[c_6719,c_121]) ).
tcf(c_10929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5938,c_121]) ).
tcf(c_10930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_5935,c_121]) ).
tcf(c_10931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_5936,c_121]) ).
tcf(c_10932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_5937,c_121]) ).
tcf(c_10933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5939,c_121]) ).
tcf(c_10934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5944,c_121]) ).
tcf(c_10935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK4),sK4)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5945,c_121]) ).
tcf(c_10936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK5),sK5)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5946,c_121]) ).
tcf(c_10937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5948,c_121]) ).
tcf(c_10938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6528,c_121]) ).
tcf(c_10939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6529,c_121]) ).
tcf(c_10940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6718,c_121]) ).
tcf(c_10941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6719,c_121]) ).
tcf(c_10946,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_121,c_124]) ).
tcf(c_10947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK10(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_121,c_129]) ).
tcf(c_10948,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_121,c_125]) ).
tcf(c_10949,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_121,c_98]) ).
tcf(c_10950,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10929,c_92]) ).
tcf(c_10955,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10912,c_92]) ).
tcf(c_10960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10937,c_92,c_96]) ).
tcf(c_10965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK5),sK5)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10936,c_65,c_92]) ).
tcf(c_10970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK4),sK4)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10935,c_64,c_92]) ).
tcf(c_10975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10934,c_92,c_49]) ).
tcf(c_10980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10933,c_92,c_96]) ).
tcf(c_10985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10932,c_65,c_92]) ).
tcf(c_10990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10931,c_64,c_92]) ).
tcf(c_10995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10930,c_92,c_49]) ).
tcf(c_11000,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10920,c_92,c_96]) ).
tcf(c_11005,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(X0,sK5))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10919,c_65,c_92]) ).
tcf(c_11010,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(X0,sK4))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10918,c_64,c_92]) ).
tcf(c_11015,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10917,c_92,c_49]) ).
tcf(c_11020,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10916,c_92,c_96]) ).
tcf(c_11025,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(X0,sz00))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10915,c_65,c_92]) ).
tcf(c_11030,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(X0,sz00))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10914,c_64,c_92]) ).
tcf(c_11035,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sz00))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10913,c_92,c_49]) ).
tcf(c_11080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10940,c_92,c_6553]) ).
tcf(c_11085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10938,c_92,c_6521]) ).
tcf(c_11090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtpldt0(X0,sdtasdt0(xk,sK5)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10923,c_92,c_6553]) ).
tcf(c_11095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtpldt0(X0,sdtasdt0(xk,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10921,c_92,c_6521]) ).
tcf(c_11100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10941,c_92,c_6553]) ).
tcf(c_11105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10939,c_92,c_6521]) ).
tcf(c_11110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtpldt0(X0,sz00))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10924,c_92,c_6553]) ).
tcf(c_11115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtpldt0(X0,sz00))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10922,c_92,c_6521]) ).
tcf(c_11490,plain,
( ( xk = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sz00 ) ),
inference(superposition,[status(thm)],[c_6746,c_83]) ).
tcf(c_11492,plain,
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6746,c_78]) ).
tcf(c_11493,plain,
( doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6746,c_275]) ).
tcf(c_11494,plain,
( sP1(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) != xk ) ),
inference(superposition,[status(thm)],[c_6746,c_76]) ).
tcf(c_11495,plain,
( aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6746,c_106]) ).
tcf(c_11496,plain,
aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(forward_subsumption_resolution,[status(thm)],[c_11495,c_49,c_6561]) ).
tcf(c_11497,plain,
doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(forward_subsumption_resolution,[status(thm)],[c_11493,c_49,c_6561]) ).
tcf(c_11498,plain,
( sP1(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11494,c_49,c_6561]) ).
tcf(c_11501,plain,
sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(forward_subsumption_resolution,[status(thm)],[c_11492,c_60,c_49,c_6561]) ).
tcf(c_11502,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11490,c_60,c_49,c_6561]) ).
tcf(c_11599,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,X0) != xk ) ),
inference(superposition,[status(thm)],[c_66,c_86]) ).
tcf(c_11600,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5915,c_86]) ).
tcf(c_11604,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5911,c_86]) ).
tcf(c_11605,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5912,c_86]) ).
tcf(c_11606,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK5,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5913,c_86]) ).
tcf(c_11610,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_5953,c_86]) ).
tcf(c_11611,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_5954,c_86]) ).
tcf(c_11612,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK5,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_5955,c_86]) ).
tcf(c_11613,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_5957,c_86]) ).
tcf(c_11614,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(superposition,[status(thm)],[c_5979,c_86]) ).
tcf(c_11615,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_5980,c_86]) ).
tcf(c_11616,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_5981,c_86]) ).
tcf(c_11617,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = xk )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6474,c_86]) ).
tcf(c_11618,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = xk )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK5,X0) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6475,c_86]) ).
tcf(c_11619,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(superposition,[status(thm)],[c_6523,c_86]) ).
tcf(c_11620,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6526,c_86]) ).
tcf(c_11621,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6527,c_86]) ).
tcf(c_11623,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6531,c_86]) ).
tcf(c_11625,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(sdtasdt0(xk,sK5),X0) != sdtasdt0(xk,sdtasdt0(xk,sK5)) ) ),
inference(superposition,[status(thm)],[c_6713,c_86]) ).
tcf(c_11626,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6716,c_86]) ).
tcf(c_11627,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(sdtasdt0(xk,sK5),X0) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6717,c_86]) ).
tcf(c_11629,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(sdtasdt0(xk,sK5),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6721,c_86]) ).
tcf(c_11630,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) != sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) ) ),
inference(superposition,[status(thm)],[c_6746,c_86]) ).
tcf(c_11631,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK8(sK4,xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,xk))
| ( sdtasdt0(sK4,X0) != xk ) ),
inference(superposition,[status(thm)],[c_7292,c_86]) ).
tcf(c_11632,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( sK8(xk,sz00) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,sz00))
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7291,c_86]) ).
tcf(c_11633,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK8(sK4,sz00) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sz00))
| ( sdtasdt0(sK4,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7290,c_86]) ).
tcf(c_11634,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sK8(sK5,sz00) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sz00))
| ( sdtasdt0(sK5,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7289,c_86]) ).
tcf(c_11635,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK8(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7288,c_86]) ).
tcf(c_11636,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( sK8(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,xk))
| ( sdtasdt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_7283,c_86]) ).
tcf(c_11637,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK8(sK4,sK4) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sK4))
| ( sdtasdt0(sK4,X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_7282,c_86]) ).
tcf(c_11638,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sK8(sK5,sK5) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ( sdtasdt0(sK5,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_7281,c_86]) ).
tcf(c_11639,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_7280,c_86]) ).
tcf(c_11640,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK8(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xk))
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(superposition,[status(thm)],[c_7287,c_86]) ).
tcf(c_11641,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK8(sz10,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ( sdtasdt0(sz10,X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_7286,c_86]) ).
tcf(c_11642,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK8(sz10,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ( sdtasdt0(sz10,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_7285,c_86]) ).
tcf(c_11658,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11613,c_97,c_96]) ).
tcf(c_11662,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11616,c_97,c_65,c_96]) ).
tcf(c_11666,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11615,c_97,c_64,c_96]) ).
tcf(c_11670,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11614,c_97,c_96,c_49]) ).
tcf(c_11674,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK5,X0) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11612,c_65,c_96]) ).
tcf(c_11679,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,X0) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11611,c_64,c_96]) ).
tcf(c_11684,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11610,c_60,c_96,c_49]) ).
tcf(c_11688,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK5,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11606,c_65,c_92]) ).
tcf(c_11693,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11605,c_64,c_92]) ).
tcf(c_11698,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11604,c_60,c_92,c_49]) ).
tcf(c_11702,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11600,c_97,c_92,c_96]) ).
tcf(c_11706,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11599,c_65,c_64]) ).
tcf(c_11711,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK5,X0) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11618,c_65,c_49]) ).
tcf(c_11716,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,X0) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11617,c_64,c_49]) ).
tcf(c_11749,plain,
! [X0: $i] :
( ( sK8(sz10,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ( sdtasdt0(sz10,X0) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11642,c_97,c_96]) ).
tcf(c_11754,plain,
! [X0: $i] :
( ( sK8(sz10,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ( sdtasdt0(sz10,X0) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11641,c_97,c_96]) ).
tcf(c_11759,plain,
! [X0: $i] :
( ( sK8(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xk))
| ( sdtasdt0(sz10,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11640,c_97,c_96]) ).
tcf(c_11764,plain,
! [X0: $i] :
( ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11639,c_97,c_96]) ).
tcf(c_11769,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sK8(sK5,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ( sdtasdt0(sK5,X0) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11638,c_65]) ).
tcf(c_11775,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK8(sK4,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sK4))
| ( sdtasdt0(sK4,X0) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11637,c_64]) ).
tcf(c_11781,plain,
! [X0: $i] :
( ( sK8(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,xk))
| ( sdtasdt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11636,c_60,c_49]) ).
tcf(c_11786,plain,
! [X0: $i] :
( ( sK8(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11635,c_97,c_96]) ).
tcf(c_11791,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sK8(sK5,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sz00))
| ( sdtasdt0(sK5,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11634,c_65]) ).
tcf(c_11797,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK8(sK4,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sz00))
| ( sdtasdt0(sK4,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11633,c_64]) ).
tcf(c_11803,plain,
! [X0: $i] :
( ( sK8(xk,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,sz00))
| ( sdtasdt0(xk,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11632,c_60,c_49]) ).
tcf(c_11808,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK8(sK4,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,xk))
| ( sdtasdt0(sK4,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11631,c_64]) ).
tcf(c_11830,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sK5),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11629,c_92,c_6553]) ).
tcf(c_11835,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11626,c_97,c_96,c_6553]) ).
tcf(c_11839,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11623,c_92,c_6521]) ).
tcf(c_11844,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11620,c_97,c_96,c_6521]) ).
tcf(c_11848,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sK5),X0) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11627,c_96,c_6553]) ).
tcf(c_11853,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11621,c_96,c_6521]) ).
tcf(c_11871,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sK5),X0) != sdtasdt0(xk,sdtasdt0(xk,sK5)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11625,c_49,c_6553]) ).
tcf(c_11876,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11619,c_49,c_6521]) ).
tcf(c_11895,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) != sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11630,c_49,c_6561]) ).
tcf(c_12077,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK5) != xk ) ),
inference(superposition,[status(thm)],[c_66,c_87]) ).
tcf(c_12079,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(superposition,[status(thm)],[c_5930,c_87]) ).
tcf(c_12081,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK8(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ( sdtasdt0(X0,sK8(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7284,c_87]) ).
tcf(c_12085,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_5926,c_87]) ).
tcf(c_12086,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK4) != sz00 ) ),
inference(superposition,[status(thm)],[c_5927,c_87]) ).
tcf(c_12087,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK5) != sz00 ) ),
inference(superposition,[status(thm)],[c_5928,c_87]) ).
tcf(c_12088,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xk ) ),
inference(superposition,[status(thm)],[c_5953,c_87]) ).
tcf(c_12089,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK4 ) ),
inference(superposition,[status(thm)],[c_5954,c_87]) ).
tcf(c_12090,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK5 ) ),
inference(superposition,[status(thm)],[c_5955,c_87]) ).
tcf(c_12091,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_5957,c_87]) ).
tcf(c_12092,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != xk ) ),
inference(superposition,[status(thm)],[c_5979,c_87]) ).
tcf(c_12093,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK4) != sK4 ) ),
inference(superposition,[status(thm)],[c_5980,c_87]) ).
tcf(c_12094,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK5) != sK5 ) ),
inference(superposition,[status(thm)],[c_5981,c_87]) ).
tcf(c_12095,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6474,c_87]) ).
tcf(c_12096,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6475,c_87]) ).
tcf(c_12097,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtasdt0(X0,xk) ) ),
inference(superposition,[status(thm)],[c_6523,c_87]) ).
tcf(c_12098,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(X0,sdtasdt0(xk,sK4)) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6526,c_87]) ).
tcf(c_12099,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_6527,c_87]) ).
tcf(c_12100,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ( sdtasdt0(X0,sdtasdt0(xk,sK4)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6530,c_87]) ).
tcf(c_12103,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) != sdtasdt0(X0,xk) ) ),
inference(superposition,[status(thm)],[c_6713,c_87]) ).
tcf(c_12104,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(X0,sdtasdt0(xk,sK5)) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6716,c_87]) ).
tcf(c_12105,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_6717,c_87]) ).
tcf(c_12106,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ( sdtasdt0(X0,sdtasdt0(xk,sK5)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6720,c_87]) ).
tcf(c_12108,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sdtasdt0(X0,xk) ) ),
inference(superposition,[status(thm)],[c_6746,c_87]) ).
tcf(c_12109,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK8(sK4,xk) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,xk))
| ( sdtasdt0(X0,sK8(sK4,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_7292,c_87]) ).
tcf(c_12110,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,sz00))
| ( sdtasdt0(X0,sK8(xk,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7291,c_87]) ).
tcf(c_12111,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sz00))
| ( sdtasdt0(X0,sK8(sK4,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7290,c_87]) ).
tcf(c_12112,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sz00))
| ( sdtasdt0(X0,sK8(sK5,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7289,c_87]) ).
tcf(c_12113,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz00))
| ( sdtasdt0(X0,sK8(sz10,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7288,c_87]) ).
tcf(c_12114,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK8(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,xk))
| ( sdtasdt0(X0,sK8(xk,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_7283,c_87]) ).
tcf(c_12115,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK8(sK4,sK4) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sK4))
| ( sdtasdt0(X0,sK8(sK4,sK4)) != sK4 ) ),
inference(superposition,[status(thm)],[c_7282,c_87]) ).
tcf(c_12116,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( sK8(sK5,sK5) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ( sdtasdt0(X0,sK8(sK5,sK5)) != sK5 ) ),
inference(superposition,[status(thm)],[c_7281,c_87]) ).
tcf(c_12117,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ( sdtasdt0(X0,sK8(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_7280,c_87]) ).
tcf(c_12118,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xk))
| ( sdtasdt0(X0,sK8(sz10,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_7287,c_87]) ).
tcf(c_12119,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ( sdtasdt0(X0,sK8(sz10,sK4)) != sK4 ) ),
inference(superposition,[status(thm)],[c_7286,c_87]) ).
tcf(c_12120,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ( sdtasdt0(X0,sK8(sz10,sK5)) != sK5 ) ),
inference(superposition,[status(thm)],[c_7285,c_87]) ).
tcf(c_12136,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12091,c_97,c_96]) ).
tcf(c_12140,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK5) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12094,c_65,c_96]) ).
tcf(c_12145,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK4) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12093,c_64,c_96]) ).
tcf(c_12150,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12092,c_60,c_96,c_49]) ).
tcf(c_12154,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12090,c_97,c_65,c_96]) ).
tcf(c_12158,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12089,c_97,c_64,c_96]) ).
tcf(c_12162,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12088,c_97,c_96,c_49]) ).
tcf(c_12166,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK5) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12087,c_65,c_92]) ).
tcf(c_12171,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK4) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12086,c_64,c_92]) ).
tcf(c_12176,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12085,c_60,c_92,c_49]) ).
tcf(c_12180,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12079,c_97,c_92,c_96]) ).
tcf(c_12184,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK5) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12077,c_65,c_64]) ).
tcf(c_12189,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12096,c_60,c_65,c_49]) ).
tcf(c_12193,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12095,c_60,c_64,c_49]) ).
tcf(c_12239,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ( sdtasdt0(X0,sK8(sz10,sK5)) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12120,c_96]) ).
tcf(c_12245,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ( sdtasdt0(X0,sK8(sz10,sK4)) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12119,c_96]) ).
tcf(c_12251,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xk))
| ( sdtasdt0(X0,sK8(sz10,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12118,c_96]) ).
tcf(c_12257,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ( sdtasdt0(X0,sK8(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12117,c_96]) ).
tcf(c_12263,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( sK8(sK5,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ( sdtasdt0(X0,sK8(sK5,sK5)) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12116,c_65]) ).
tcf(c_12269,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK8(sK4,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sK4))
| ( sdtasdt0(X0,sK8(sK4,sK4)) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12115,c_64]) ).
tcf(c_12275,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK8(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,xk))
| ( sdtasdt0(X0,sK8(xk,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12114,c_49]) ).
tcf(c_12281,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz00))
| ( sdtasdt0(X0,sK8(sz10,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12113,c_96]) ).
tcf(c_12287,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sz00))
| ( sdtasdt0(X0,sK8(sK5,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12112,c_65]) ).
tcf(c_12293,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sz00))
| ( sdtasdt0(X0,sK8(sK4,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12111,c_64]) ).
tcf(c_12299,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,sz00))
| ( sdtasdt0(X0,sK8(xk,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12110,c_49]) ).
tcf(c_12305,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK8(sK4,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,xk))
| ( sdtasdt0(X0,sK8(sK4,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12109,c_64]) ).
tcf(c_12311,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sK5)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12106,c_92,c_6553]) ).
tcf(c_12316,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12105,c_97,c_96,c_6553]) ).
tcf(c_12320,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sK4)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12100,c_92,c_6521]) ).
tcf(c_12325,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12099,c_97,c_96,c_6521]) ).
tcf(c_12329,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK8(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ( sdtasdt0(X0,sK8(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12081,c_92]) ).
tcf(c_12335,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sK5)) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12104,c_96,c_6553]) ).
tcf(c_12340,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) != sdtasdt0(X0,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12103,c_60,c_49,c_6553]) ).
tcf(c_12344,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sK4)) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12098,c_96,c_6521]) ).
tcf(c_12349,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtasdt0(X0,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12097,c_60,c_49,c_6521]) ).
tcf(c_12366,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sdtasdt0(X0,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12108,c_60,c_49,c_6561]) ).
tcf(c_12576,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_66,c_80]) ).
tcf(c_12577,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5915,c_80]) ).
tcf(c_12581,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( xk = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5911,c_80]) ).
tcf(c_12582,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5912,c_80]) ).
tcf(c_12583,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5913,c_80]) ).
tcf(c_12587,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( xk = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5953,c_80]) ).
tcf(c_12588,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5954,c_80]) ).
tcf(c_12589,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5955,c_80]) ).
tcf(c_12590,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5957,c_80]) ).
tcf(c_12591,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_5979,c_80]) ).
tcf(c_12592,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_5980,c_80]) ).
tcf(c_12593,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_5981,c_80]) ).
tcf(c_12594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( X0 = xk )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_6474,c_80]) ).
tcf(c_12595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( X0 = xk )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_6475,c_80]) ).
tcf(c_12596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( X0 = xk )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6523,c_80]) ).
tcf(c_12597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(superposition,[status(thm)],[c_6526,c_80]) ).
tcf(c_12598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6527,c_80]) ).
tcf(c_12600,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6531,c_80]) ).
tcf(c_12602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sdtasdt0(sdtasdt0(xk,sK5),X0))
| ( X0 = xk )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6713,c_80]) ).
tcf(c_12603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(superposition,[status(thm)],[c_6716,c_80]) ).
tcf(c_12604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sdtasdt0(xk,sK5),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6717,c_80]) ).
tcf(c_12606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK5),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6721,c_80]) ).
tcf(c_12607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0))
| ( X0 = xk )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6746,c_80]) ).
tcf(c_12608,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( sK8(sK4,xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,xk))
| ~ sdtlseqdt0(sK8(sK4,xk),X0) ),
inference(superposition,[status(thm)],[c_7292,c_80]) ).
tcf(c_12609,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( xk = sz00 )
| ( sK8(xk,sz00) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,sz00))
| ~ sdtlseqdt0(sK8(xk,sz00),X0) ),
inference(superposition,[status(thm)],[c_7291,c_80]) ).
tcf(c_12610,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( sK8(sK4,sz00) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sz00))
| ~ sdtlseqdt0(sK8(sK4,sz00),X0) ),
inference(superposition,[status(thm)],[c_7290,c_80]) ).
tcf(c_12611,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( sK8(sK5,sz00) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sz00))
| ~ sdtlseqdt0(sK8(sK5,sz00),X0) ),
inference(superposition,[status(thm)],[c_7289,c_80]) ).
tcf(c_12612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK8(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz00))
| ~ sdtlseqdt0(sK8(sz10,sz00),X0) ),
inference(superposition,[status(thm)],[c_7288,c_80]) ).
tcf(c_12613,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( xk = sz00 )
| ( sK8(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,xk))
| ~ sdtlseqdt0(sK8(xk,xk),X0) ),
inference(superposition,[status(thm)],[c_7283,c_80]) ).
tcf(c_12614,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( sK8(sK4,sK4) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sK4))
| ~ sdtlseqdt0(sK8(sK4,sK4),X0) ),
inference(superposition,[status(thm)],[c_7282,c_80]) ).
tcf(c_12615,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( sK8(sK5,sK5) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ~ sdtlseqdt0(sK8(sK5,sK5),X0) ),
inference(superposition,[status(thm)],[c_7281,c_80]) ).
tcf(c_12616,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ sdtlseqdt0(sK8(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_7280,c_80]) ).
tcf(c_12617,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK8(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xk))
| ~ sdtlseqdt0(sK8(sz10,xk),X0) ),
inference(superposition,[status(thm)],[c_7287,c_80]) ).
tcf(c_12618,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK8(sz10,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ~ sdtlseqdt0(sK8(sz10,sK4),X0) ),
inference(superposition,[status(thm)],[c_7286,c_80]) ).
tcf(c_12619,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK8(sz10,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ~ sdtlseqdt0(sK8(sz10,sK5),X0) ),
inference(superposition,[status(thm)],[c_7285,c_80]) ).
tcf(c_12634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),xk)
| ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_66,c_80]) ).
tcf(c_12635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz10 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5915,c_80]) ).
tcf(c_12639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( xk = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5911,c_80]) ).
tcf(c_12640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sz00)
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5912,c_80]) ).
tcf(c_12641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sz00)
| ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5913,c_80]) ).
tcf(c_12645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( xk = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5953,c_80]) ).
tcf(c_12646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sK4)
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5954,c_80]) ).
tcf(c_12647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sK5)
| ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5955,c_80]) ).
tcf(c_12648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz10 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5957,c_80]) ).
tcf(c_12649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( sz10 = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_5979,c_80]) ).
tcf(c_12650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK4)
| ( sz10 = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_5980,c_80]) ).
tcf(c_12651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK5)
| ( sz10 = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_5981,c_80]) ).
tcf(c_12652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sdtasdt0(xk,sK4))
| ( sz00 = sK4 )
| ( X0 = xk )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_6474,c_80]) ).
tcf(c_12653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sdtasdt0(xk,sK5))
| ( sz00 = sK5 )
| ( X0 = xk )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_6475,c_80]) ).
tcf(c_12654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = xk )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6523,c_80]) ).
tcf(c_12655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xk,sK4))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6526,c_80]) ).
tcf(c_12656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sdtasdt0(xk,sK4))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6527,c_80]) ).
tcf(c_12658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6531,c_80]) ).
tcf(c_12660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK5),X0),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( X0 = xk )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6713,c_80]) ).
tcf(c_12661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xk,sK5))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6716,c_80]) ).
tcf(c_12662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK5),X0),sdtasdt0(xk,sK5))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6717,c_80]) ).
tcf(c_12664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK5),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6721,c_80]) ).
tcf(c_12665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( X0 = xk )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6746,c_80]) ).
tcf(c_12666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),xk)
| ( sz00 = sK4 )
| ( sK8(sK4,xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,xk))
| ~ sdtlseqdt0(X0,sK8(sK4,xk)) ),
inference(superposition,[status(thm)],[c_7292,c_80]) ).
tcf(c_12667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( xk = sz00 )
| ( sK8(xk,sz00) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,sz00))
| ~ sdtlseqdt0(X0,sK8(xk,sz00)) ),
inference(superposition,[status(thm)],[c_7291,c_80]) ).
tcf(c_12668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sz00)
| ( sz00 = sK4 )
| ( sK8(sK4,sz00) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sz00))
| ~ sdtlseqdt0(X0,sK8(sK4,sz00)) ),
inference(superposition,[status(thm)],[c_7290,c_80]) ).
tcf(c_12669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sz00)
| ( sz00 = sK5 )
| ( sK8(sK5,sz00) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sz00))
| ~ sdtlseqdt0(X0,sK8(sK5,sz00)) ),
inference(superposition,[status(thm)],[c_7289,c_80]) ).
tcf(c_12670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz10 = sz00 )
| ( sK8(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz00))
| ~ sdtlseqdt0(X0,sK8(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_7288,c_80]) ).
tcf(c_12671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( xk = sz00 )
| ( sK8(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,xk))
| ~ sdtlseqdt0(X0,sK8(xk,xk)) ),
inference(superposition,[status(thm)],[c_7283,c_80]) ).
tcf(c_12672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sK4)
| ( sz00 = sK4 )
| ( sK8(sK4,sK4) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sK4))
| ~ sdtlseqdt0(X0,sK8(sK4,sK4)) ),
inference(superposition,[status(thm)],[c_7282,c_80]) ).
tcf(c_12673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sK5)
| ( sz00 = sK5 )
| ( sK8(sK5,sK5) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ~ sdtlseqdt0(X0,sK8(sK5,sK5)) ),
inference(superposition,[status(thm)],[c_7281,c_80]) ).
tcf(c_12674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz10 = sz00 )
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ sdtlseqdt0(X0,sK8(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_7280,c_80]) ).
tcf(c_12675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( sz10 = sz00 )
| ( sK8(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xk))
| ~ sdtlseqdt0(X0,sK8(sz10,xk)) ),
inference(superposition,[status(thm)],[c_7287,c_80]) ).
tcf(c_12676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK4)
| ( sz10 = sz00 )
| ( sK8(sz10,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ~ sdtlseqdt0(X0,sK8(sz10,sK4)) ),
inference(superposition,[status(thm)],[c_7286,c_80]) ).
tcf(c_12677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK5)
| ( sz10 = sz00 )
| ( sK8(sz10,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ~ sdtlseqdt0(X0,sK8(sz10,sK5)) ),
inference(superposition,[status(thm)],[c_7285,c_80]) ).
tcf(c_12692,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_80,c_124]) ).
tcf(c_12693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK10(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_80,c_129]) ).
tcf(c_12694,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_80,c_125]) ).
tcf(c_12695,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_80,c_98]) ).
tcf(c_12696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12648,c_97,c_96]) ).
tcf(c_12701,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12590,c_97,c_96]) ).
tcf(c_12706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12651,c_97,c_65,c_96]) ).
tcf(c_12711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12650,c_97,c_64,c_96]) ).
tcf(c_12716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12649,c_97,c_96,c_49]) ).
tcf(c_12721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sK5)
| ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12647,c_65,c_96]) ).
tcf(c_12727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sK4)
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12646,c_64,c_96]) ).
tcf(c_12733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12645,c_60,c_96,c_49]) ).
tcf(c_12738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sz00)
| ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12641,c_65,c_92]) ).
tcf(c_12744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sz00)
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12640,c_64,c_92]) ).
tcf(c_12750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12639,c_60,c_92,c_49]) ).
tcf(c_12755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12635,c_97,c_92,c_96]) ).
tcf(c_12760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),xk)
| ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12634,c_65,c_64]) ).
tcf(c_12766,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sz10,X0))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12593,c_97,c_65,c_96]) ).
tcf(c_12771,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sz10,X0))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12592,c_97,c_64,c_96]) ).
tcf(c_12776,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12591,c_97,c_96,c_49]) ).
tcf(c_12781,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12589,c_65,c_96]) ).
tcf(c_12787,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12588,c_64,c_96]) ).
tcf(c_12793,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12587,c_60,c_96,c_49]) ).
tcf(c_12798,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12583,c_65,c_92]) ).
tcf(c_12804,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12582,c_64,c_92]) ).
tcf(c_12810,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12581,c_60,c_92,c_49]) ).
tcf(c_12815,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12577,c_97,c_92,c_96]) ).
tcf(c_12820,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12576,c_65,c_64]) ).
tcf(c_12826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sdtasdt0(xk,sK5))
| ( sz00 = sK5 )
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12653,c_65,c_49]) ).
tcf(c_12832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sdtasdt0(xk,sK4))
| ( sz00 = sK4 )
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12652,c_64,c_49]) ).
tcf(c_12838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12595,c_65,c_49]) ).
tcf(c_12844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12594,c_64,c_49]) ).
tcf(c_12930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK5)
| ( sK8(sz10,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ~ sdtlseqdt0(X0,sK8(sz10,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12677,c_97,c_96]) ).
tcf(c_12936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK4)
| ( sK8(sz10,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ~ sdtlseqdt0(X0,sK8(sz10,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12676,c_97,c_96]) ).
tcf(c_12942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xk)
| ( sK8(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xk))
| ~ sdtlseqdt0(X0,sK8(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12675,c_97,c_96]) ).
tcf(c_12948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ sdtlseqdt0(X0,sK8(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12674,c_97,c_96]) ).
tcf(c_12954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sK5)
| ( sz00 = sK5 )
| ( sK8(sK5,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ~ sdtlseqdt0(X0,sK8(sK5,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12673,c_65]) ).
tcf(c_12961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sK4)
| ( sz00 = sK4 )
| ( sK8(sK4,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sK4))
| ~ sdtlseqdt0(X0,sK8(sK4,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12672,c_64]) ).
tcf(c_12968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),xk)
| ( sK8(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,xk))
| ~ sdtlseqdt0(X0,sK8(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12671,c_60,c_49]) ).
tcf(c_12974,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sK8(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz00))
| ~ sdtlseqdt0(X0,sK8(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12670,c_97,c_96]) ).
tcf(c_12980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sz00)
| ( sz00 = sK5 )
| ( sK8(sK5,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sz00))
| ~ sdtlseqdt0(X0,sK8(sK5,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12669,c_65]) ).
tcf(c_12987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sz00)
| ( sz00 = sK4 )
| ( sK8(sK4,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sz00))
| ~ sdtlseqdt0(X0,sK8(sK4,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12668,c_64]) ).
tcf(c_12994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,X0),sz00)
| ( sK8(xk,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,sz00))
| ~ sdtlseqdt0(X0,sK8(xk,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12667,c_60,c_49]) ).
tcf(c_13000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),xk)
| ( sz00 = sK4 )
| ( sK8(sK4,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,xk))
| ~ sdtlseqdt0(X0,sK8(sK4,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12666,c_64]) ).
tcf(c_13007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK5),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12664,c_92,c_6553]) ).
tcf(c_13020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12658,c_92,c_6521]) ).
tcf(c_13038,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sz10,X0))
| ( sK8(sz10,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK5))
| ~ sdtlseqdt0(sK8(sz10,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12619,c_97,c_96]) ).
tcf(c_13044,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sz10,X0))
| ( sK8(sz10,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK4))
| ~ sdtlseqdt0(sK8(sz10,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12618,c_97,c_96]) ).
tcf(c_13050,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sz10,X0))
| ( sK8(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xk))
| ~ sdtlseqdt0(sK8(sz10,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12617,c_97,c_96]) ).
tcf(c_13056,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ sdtlseqdt0(sK8(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12616,c_97,c_96]) ).
tcf(c_13062,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( sK8(sK5,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sK5))
| ~ sdtlseqdt0(sK8(sK5,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12615,c_65]) ).
tcf(c_13069,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( sK8(sK4,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sK4))
| ~ sdtlseqdt0(sK8(sK4,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12614,c_64]) ).
tcf(c_13076,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(xk,X0))
| ( sK8(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,xk))
| ~ sdtlseqdt0(sK8(xk,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12613,c_60,c_49]) ).
tcf(c_13082,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sK8(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz00))
| ~ sdtlseqdt0(sK8(sz10,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12612,c_97,c_96]) ).
tcf(c_13088,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( sK8(sK5,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sz00))
| ~ sdtlseqdt0(sK8(sK5,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12611,c_65]) ).
tcf(c_13095,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( sK8(sK4,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sz00))
| ~ sdtlseqdt0(sK8(sK4,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12610,c_64]) ).
tcf(c_13102,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xk,X0))
| ( sK8(xk,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xk,sz00))
| ~ sdtlseqdt0(sK8(xk,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12609,c_60,c_49]) ).
tcf(c_13108,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( sK8(sK4,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,xk))
| ~ sdtlseqdt0(sK8(sK4,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12608,c_64]) ).
tcf(c_13115,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK5),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12606,c_92,c_6553]) ).
tcf(c_13128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12600,c_92,c_6521]) ).
tcf(c_13134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK5),X0),sdtasdt0(xk,sK5))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12662,c_96,c_6553]) ).
tcf(c_13140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12661,c_97,c_96,c_6553]) ).
tcf(c_13145,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sdtasdt0(xk,sK4))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12656,c_96,c_6521]) ).
tcf(c_13151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12655,c_97,c_96,c_6521]) ).
tcf(c_13156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sdtasdt0(xk,sK5),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12604,c_96,c_6553]) ).
tcf(c_13162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sz10,X0))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12603,c_97,c_96,c_6553]) ).
tcf(c_13167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12598,c_96,c_6521]) ).
tcf(c_13173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sz10,X0))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12597,c_97,c_96,c_6521]) ).
tcf(c_13186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK5),X0),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( X0 = xk )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12660,c_49,c_6553]) ).
tcf(c_13192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = xk )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12654,c_49,c_6521]) ).
tcf(c_13206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sdtasdt0(sdtasdt0(xk,sK5),X0))
| ( X0 = xk )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12602,c_49,c_6553]) ).
tcf(c_13212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( X0 = xk )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12596,c_49,c_6521]) ).
tcf(c_13248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( X0 = xk )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12665,c_49,c_6561]) ).
tcf(c_13270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0))
| ( X0 = xk )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12607,c_49,c_6561]) ).
tcf(c_13608,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK5))
| ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_66,c_82]) ).
tcf(c_13610,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5930,c_82]) ).
tcf(c_13612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sz00,sz00)))
| ( X0 = sz00 )
| ( sK8(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_7284,c_82]) ).
tcf(c_13616,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5926,c_82]) ).
tcf(c_13617,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4))
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5927,c_82]) ).
tcf(c_13618,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK5))
| ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5928,c_82]) ).
tcf(c_13619,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_5953,c_82]) ).
tcf(c_13620,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_5954,c_82]) ).
tcf(c_13621,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_5955,c_82]) ).
tcf(c_13622,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5957,c_82]) ).
tcf(c_13623,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5979,c_82]) ).
tcf(c_13624,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5980,c_82]) ).
tcf(c_13625,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sK5))
| ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5981,c_82]) ).
tcf(c_13626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_6474,c_82]) ).
tcf(c_13627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_6475,c_82]) ).
tcf(c_13628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(superposition,[status(thm)],[c_6523,c_82]) ).
tcf(c_13629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sdtasdt0(xk,sK4)))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6526,c_82]) ).
tcf(c_13630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(superposition,[status(thm)],[c_6527,c_82]) ).
tcf(c_13631,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sK4)))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6530,c_82]) ).
tcf(c_13634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(superposition,[status(thm)],[c_6713,c_82]) ).
tcf(c_13635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,sdtasdt0(xk,sK5)))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6716,c_82]) ).
tcf(c_13636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(superposition,[status(thm)],[c_6717,c_82]) ).
tcf(c_13637,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sK5)))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6720,c_82]) ).
tcf(c_13639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_6746,c_82]) ).
tcf(c_13640,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sK4,xk)))
| ( X0 = sK4 )
| ( sK8(sK4,xk) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK8(sK4,xk)) ),
inference(superposition,[status(thm)],[c_7292,c_82]) ).
tcf(c_13641,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(xk,sz00)))
| ( X0 = xk )
| ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK8(xk,sz00)) ),
inference(superposition,[status(thm)],[c_7291,c_82]) ).
tcf(c_13642,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sK4,sz00)))
| ( X0 = sK4 )
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK8(sK4,sz00)) ),
inference(superposition,[status(thm)],[c_7290,c_82]) ).
tcf(c_13643,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sK5,sz00)))
| ( X0 = sK5 )
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK8(sK5,sz00)) ),
inference(superposition,[status(thm)],[c_7289,c_82]) ).
tcf(c_13644,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sz10,sz00)))
| ( X0 = sz10 )
| ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_7288,c_82]) ).
tcf(c_13645,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(xk,xk)))
| ( X0 = xk )
| ( sK8(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK8(xk,xk)) ),
inference(superposition,[status(thm)],[c_7283,c_82]) ).
tcf(c_13646,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sK8(sK4,sK4)))
| ( X0 = sK4 )
| ( sK8(sK4,sK4) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK8(sK4,sK4)) ),
inference(superposition,[status(thm)],[c_7282,c_82]) ).
tcf(c_13647,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sK8(sK5,sK5)))
| ( X0 = sK5 )
| ( sK8(sK5,sK5) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK8(sK5,sK5)) ),
inference(superposition,[status(thm)],[c_7281,c_82]) ).
tcf(c_13648,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK8(sz10,sz10)))
| ( X0 = sz10 )
| ( sK8(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_7280,c_82]) ).
tcf(c_13649,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sz10,xk)))
| ( X0 = sz10 )
| ( sK8(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xk)) ),
inference(superposition,[status(thm)],[c_7287,c_82]) ).
tcf(c_13650,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sK8(sz10,sK4)))
| ( X0 = sz10 )
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK4)) ),
inference(superposition,[status(thm)],[c_7286,c_82]) ).
tcf(c_13651,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sK8(sz10,sK5)))
| ( X0 = sz10 )
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK5)) ),
inference(superposition,[status(thm)],[c_7285,c_82]) ).
tcf(c_13666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK5),xk)
| ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_66,c_82]) ).
tcf(c_13668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( sz10 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5930,c_82]) ).
tcf(c_13670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK8(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_7284,c_82]) ).
tcf(c_13674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sz00)
| ( xk = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5926,c_82]) ).
tcf(c_13675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4),sz00)
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5927,c_82]) ).
tcf(c_13676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK5),sz00)
| ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5928,c_82]) ).
tcf(c_13677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xk)
| ( sz10 = sz00 )
| ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_5953,c_82]) ).
tcf(c_13678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK4)
| ( sz10 = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_5954,c_82]) ).
tcf(c_13679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK5)
| ( sz10 = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_5955,c_82]) ).
tcf(c_13680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( sz10 = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5957,c_82]) ).
tcf(c_13681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),xk)
| ( xk = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5979,c_82]) ).
tcf(c_13682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4),sK4)
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5980,c_82]) ).
tcf(c_13683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK5),sK5)
| ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5981,c_82]) ).
tcf(c_13684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK4))
| ( xk = sz00 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_6474,c_82]) ).
tcf(c_13685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK5))
| ( xk = sz00 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_6475,c_82]) ).
tcf(c_13686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( xk = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6523,c_82]) ).
tcf(c_13687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6526,c_82]) ).
tcf(c_13688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xk,sK4))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6527,c_82]) ).
tcf(c_13689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK4)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6530,c_82]) ).
tcf(c_13692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( xk = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6713,c_82]) ).
tcf(c_13693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6716,c_82]) ).
tcf(c_13694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xk,sK5))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6717,c_82]) ).
tcf(c_13695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK5)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6720,c_82]) ).
tcf(c_13697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( xk = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6746,c_82]) ).
tcf(c_13698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK4,xk)),xk)
| ( X0 = sK4 )
| ( sK8(sK4,xk) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK8(sK4,xk)) ),
inference(superposition,[status(thm)],[c_7292,c_82]) ).
tcf(c_13699,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(xk,sz00)),sz00)
| ( X0 = xk )
| ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK8(xk,sz00)) ),
inference(superposition,[status(thm)],[c_7291,c_82]) ).
tcf(c_13700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK4,sz00)),sz00)
| ( X0 = sK4 )
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK8(sK4,sz00)) ),
inference(superposition,[status(thm)],[c_7290,c_82]) ).
tcf(c_13701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK5,sz00)),sz00)
| ( X0 = sK5 )
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK8(sK5,sz00)) ),
inference(superposition,[status(thm)],[c_7289,c_82]) ).
tcf(c_13702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_7288,c_82]) ).
tcf(c_13703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(xk,xk)),xk)
| ( X0 = xk )
| ( sK8(xk,xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK8(xk,xk)) ),
inference(superposition,[status(thm)],[c_7283,c_82]) ).
tcf(c_13704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK4,sK4)),sK4)
| ( X0 = sK4 )
| ( sK8(sK4,sK4) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK8(sK4,sK4)) ),
inference(superposition,[status(thm)],[c_7282,c_82]) ).
tcf(c_13705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK5,sK5)),sK5)
| ( X0 = sK5 )
| ( sK8(sK5,sK5) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK8(sK5,sK5)) ),
inference(superposition,[status(thm)],[c_7281,c_82]) ).
tcf(c_13706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK8(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_7280,c_82]) ).
tcf(c_13707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,xk)),xk)
| ( X0 = sz10 )
| ( sK8(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xk)) ),
inference(superposition,[status(thm)],[c_7287,c_82]) ).
tcf(c_13708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sK4)),sK4)
| ( X0 = sz10 )
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK4)) ),
inference(superposition,[status(thm)],[c_7286,c_82]) ).
tcf(c_13709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sK5)),sK5)
| ( X0 = sz10 )
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK5)) ),
inference(superposition,[status(thm)],[c_7285,c_82]) ).
tcf(c_13724,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_82,c_124]) ).
tcf(c_13725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK10(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_82,c_129]) ).
tcf(c_13726,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_82,c_125]) ).
tcf(c_13727,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_82,c_98]) ).
tcf(c_13728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13680,c_97,c_96]) ).
tcf(c_13733,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13622,c_97,c_96]) ).
tcf(c_13738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK5),sK5)
| ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13683,c_65,c_96]) ).
tcf(c_13744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4),sK4)
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13682,c_64,c_96]) ).
tcf(c_13750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13681,c_60,c_96,c_49]) ).
tcf(c_13755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13679,c_97,c_65,c_96]) ).
tcf(c_13760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13678,c_97,c_64,c_96]) ).
tcf(c_13765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13677,c_97,c_96,c_49]) ).
tcf(c_13770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK5),sz00)
| ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13676,c_65,c_92]) ).
tcf(c_13776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4),sz00)
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13675,c_64,c_92]) ).
tcf(c_13782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13674,c_60,c_92,c_49]) ).
tcf(c_13787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13668,c_97,c_92,c_96]) ).
tcf(c_13792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK5),xk)
| ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13666,c_65,c_64]) ).
tcf(c_13798,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sK5))
| ( sz00 = sK5 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13625,c_65,c_96]) ).
tcf(c_13804,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13624,c_64,c_96]) ).
tcf(c_13810,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13623,c_60,c_96,c_49]) ).
tcf(c_13815,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sz10))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13621,c_97,c_65,c_96]) ).
tcf(c_13820,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sz10))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13620,c_97,c_64,c_96]) ).
tcf(c_13825,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sz10))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13619,c_97,c_96,c_49]) ).
tcf(c_13830,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK5))
| ( sz00 = sK5 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13618,c_65,c_92]) ).
tcf(c_13836,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK4))
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13617,c_64,c_92]) ).
tcf(c_13842,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13616,c_60,c_92,c_49]) ).
tcf(c_13847,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13610,c_97,c_92,c_96]) ).
tcf(c_13852,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK5))
| ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13608,c_65,c_64]) ).
tcf(c_13858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK5))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13685,c_60,c_65,c_49]) ).
tcf(c_13863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK4))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13684,c_60,c_64,c_49]) ).
tcf(c_13868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,xk))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13627,c_60,c_65,c_49]) ).
tcf(c_13873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,xk))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13626,c_60,c_64,c_49]) ).
tcf(c_13956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sK5)),sK5)
| ( X0 = sz10 )
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13709,c_96]) ).
tcf(c_13963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sK4)),sK4)
| ( X0 = sz10 )
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13708,c_96]) ).
tcf(c_13970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,xk)),xk)
| ( X0 = sz10 )
| ( sK8(sz10,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13707,c_96]) ).
tcf(c_13977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK8(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13706,c_96]) ).
tcf(c_13984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK5,sK5)),sK5)
| ( X0 = sK5 )
| ( sK8(sK5,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK8(sK5,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13705,c_65]) ).
tcf(c_13991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK4,sK4)),sK4)
| ( X0 = sK4 )
| ( sK8(sK4,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK8(sK4,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13704,c_64]) ).
tcf(c_13998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(xk,xk)),xk)
| ( X0 = xk )
| ( sK8(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK8(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13703,c_49]) ).
tcf(c_14005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13702,c_96]) ).
tcf(c_14012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK5,sz00)),sz00)
| ( X0 = sK5 )
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK8(sK5,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13701,c_65]) ).
tcf(c_14019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK4,sz00)),sz00)
| ( X0 = sK4 )
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK8(sK4,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13700,c_64]) ).
tcf(c_14026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(xk,sz00)),sz00)
| ( X0 = xk )
| ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK8(xk,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13699,c_49]) ).
tcf(c_14033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK4,xk)),xk)
| ( X0 = sK4 )
| ( sK8(sK4,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK8(sK4,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13698,c_64]) ).
tcf(c_14040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK5)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13695,c_92,c_6553]) ).
tcf(c_14053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK4)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13689,c_92,c_6521]) ).
tcf(c_14059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK8(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13670,c_92]) ).
tcf(c_14076,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sK8(sz10,sK5)))
| ( X0 = sz10 )
| ( sK8(sz10,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13651,c_96]) ).
tcf(c_14083,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sK8(sz10,sK4)))
| ( X0 = sz10 )
| ( sK8(sz10,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13650,c_96]) ).
tcf(c_14090,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sz10,xk)))
| ( X0 = sz10 )
| ( sK8(sz10,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13649,c_96]) ).
tcf(c_14097,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK8(sz10,sz10)))
| ( X0 = sz10 )
| ( sK8(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13648,c_96]) ).
tcf(c_14104,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sK8(sK5,sK5)))
| ( X0 = sK5 )
| ( sK8(sK5,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK8(sK5,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13647,c_65]) ).
tcf(c_14111,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sK8(sK4,sK4)))
| ( X0 = sK4 )
| ( sK8(sK4,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK8(sK4,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13646,c_64]) ).
tcf(c_14118,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(xk,xk)))
| ( X0 = xk )
| ( sK8(xk,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK8(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13645,c_49]) ).
tcf(c_14125,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sz10,sz00)))
| ( X0 = sz10 )
| ( sK8(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13644,c_96]) ).
tcf(c_14132,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sK5,sz00)))
| ( X0 = sK5 )
| ( sK8(sK5,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK8(sK5,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13643,c_65]) ).
tcf(c_14139,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sK4,sz00)))
| ( X0 = sK4 )
| ( sK8(sK4,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK8(sK4,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13642,c_64]) ).
tcf(c_14146,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(xk,sz00)))
| ( X0 = xk )
| ( sK8(xk,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK8(xk,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13641,c_49]) ).
tcf(c_14153,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sK4,xk)))
| ( X0 = sK4 )
| ( sK8(sK4,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK8(sK4,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13640,c_64]) ).
tcf(c_14160,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sK5)))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13637,c_92,c_6553]) ).
tcf(c_14173,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sK4)))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13631,c_92,c_6521]) ).
tcf(c_14179,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sz00,sz00)))
| ( X0 = sz00 )
| ( sK8(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13612,c_92]) ).
tcf(c_14186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13694,c_97,c_96,c_6553]) ).
tcf(c_14191,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13693,c_96,c_6553]) ).
tcf(c_14197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13688,c_97,c_96,c_6521]) ).
tcf(c_14202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13687,c_96,c_6521]) ).
tcf(c_14208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,sz10))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13636,c_97,c_96,c_6553]) ).
tcf(c_14213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,sdtasdt0(xk,sK5)))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13635,c_96,c_6553]) ).
tcf(c_14219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sz10))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13630,c_97,c_96,c_6521]) ).
tcf(c_14224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sdtasdt0(xk,sK4)))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13629,c_96,c_6521]) ).
tcf(c_14238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13692,c_60,c_49,c_6553]) ).
tcf(c_14243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13686,c_60,c_49,c_6521]) ).
tcf(c_14256,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sdtasdt0(X0,xk))
| ( sdtasdt0(xk,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13634,c_60,c_49,c_6553]) ).
tcf(c_14261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(X0,xk))
| ( sdtasdt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13628,c_60,c_49,c_6521]) ).
tcf(c_14296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13697,c_60,c_49,c_6561]) ).
tcf(c_14317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(X0,xk))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13639,c_60,c_49,c_6561]) ).
tcf(c_14799,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK10(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,sz10))
| ~ sdtlseqdt0(sK10(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_7604,c_119]) ).
tcf(c_14805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_7604,c_121]) ).
tcf(c_14807,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_7604,c_108]) ).
tcf(c_14809,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK10(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK10(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_7604,c_121]) ).
tcf(c_14810,plain,
! [X0: $i] :
( ( sK10(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_7604,c_130]) ).
tcf(c_14811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK10(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,sz10))
| ~ sdtlseqdt0(X0,sK10(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_7604,c_119]) ).
tcf(c_14812,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,sz10))
| ( sdtpldt0(X0,sK10(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_7604,c_131]) ).
tcf(c_14813,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz10,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14807,c_96]) ).
tcf(c_14818,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,sz10))
| ( sdtpldt0(X0,sK10(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14812,c_96]) ).
tcf(c_14823,plain,
! [X0: $i] :
( ( sK10(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14810,c_96]) ).
tcf(c_14828,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK10(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK10(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14809,c_96]) ).
tcf(c_14834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14805,c_96]) ).
tcf(c_14840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK10(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,sz10))
| ~ sdtlseqdt0(X0,sK10(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14811,c_96]) ).
tcf(c_14846,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK10(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,sz10))
| ~ sdtlseqdt0(sK10(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14799,c_96]) ).
tcf(c_15254,plain,
( sdtlseqdt0(sz10,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6749,c_78]) ).
tcf(c_15255,plain,
( doDivides0(sz10,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6749,c_275]) ).
tcf(c_15257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_6749,c_80]) ).
tcf(c_15258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6749,c_82]) ).
tcf(c_15259,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtasdt0(sz10,X0) ) ),
inference(superposition,[status(thm)],[c_6749,c_86]) ).
tcf(c_15260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6749,c_80]) ).
tcf(c_15261,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(superposition,[status(thm)],[c_6749,c_87]) ).
tcf(c_15262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6749,c_82]) ).
tcf(c_15264,plain,
doDivides0(sz10,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_15255,c_96,c_6561]) ).
tcf(c_15265,plain,
( sdtlseqdt0(sz10,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15254,c_96,c_6561]) ).
tcf(c_15268,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtasdt0(sz10,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15259,c_97,c_96,c_6561]) ).
tcf(c_15272,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15261,c_96,c_6561]) ).
tcf(c_15277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15262,c_96,c_6561]) ).
tcf(c_15283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15260,c_97,c_96,c_6561]) ).
tcf(c_15288,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15258,c_96,c_6561]) ).
tcf(c_15294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(sz10,X0))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15257,c_97,c_96,c_6561]) ).
tcf(c_15305,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_15264,c_110]) ).
tcf(c_15306,plain,
( ( sdtasdt0(sz10,sK8(sz10,sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_15264,c_101]) ).
tcf(c_15309,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15305,c_96,c_6561]) ).
tcf(c_15313,plain,
sdtasdt0(sz10,sK8(sz10,sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_15306,c_96,c_6561]) ).
tcf(c_15315,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(sK5,X0))
| ( sK10(sK5,sK5) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ~ sdtlseqdt0(sK10(sK5,sK5),X0) ),
inference(superposition,[status(thm)],[c_7605,c_119]) ).
tcf(c_15318,plain,
( ( sK10(sK5,sK5) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ( sz00 != sK5 ) ),
inference(superposition,[status(thm)],[c_7605,c_85]) ).
tcf(c_15321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK5,sK5)),sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK10(sK5,sK5)) ),
inference(superposition,[status(thm)],[c_7605,c_121]) ).
tcf(c_15323,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK5,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ aNaturalNumber0(sK10(sK5,sK5)) ),
inference(superposition,[status(thm)],[c_7605,c_108]) ).
tcf(c_15325,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(X0,sK10(sK5,sK5)))
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK10(sK5,sK5)) ),
inference(superposition,[status(thm)],[c_7605,c_121]) ).
tcf(c_15326,plain,
! [X0: $i] :
( ( sK10(sK5,sK5) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ( sdtpldt0(sK5,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_7605,c_130]) ).
tcf(c_15327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK5,X0),sK5)
| ( sK10(sK5,sK5) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ~ sdtlseqdt0(X0,sK10(sK5,sK5)) ),
inference(superposition,[status(thm)],[c_7605,c_119]) ).
tcf(c_15328,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ( sdtpldt0(X0,sK10(sK5,sK5)) != sK5 ) ),
inference(superposition,[status(thm)],[c_7605,c_131]) ).
tcf(c_15329,plain,
( ( sK10(sK5,sK5) = sz00 )
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ( sz00 != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15318,c_65]) ).
tcf(c_15333,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK5,sK5))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ aNaturalNumber0(sK10(sK5,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15323,c_65]) ).
tcf(c_15338,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ( sdtpldt0(X0,sK10(sK5,sK5)) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15328,c_65]) ).
tcf(c_15343,plain,
! [X0: $i] :
( ( sK10(sK5,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ( sdtpldt0(sK5,X0) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15326,c_65]) ).
tcf(c_15348,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(X0,sK10(sK5,sK5)))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK10(sK5,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15325,c_65]) ).
tcf(c_15354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK5,sK5)),sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK10(sK5,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15321,c_65]) ).
tcf(c_15360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK5,X0),sK5)
| ( sK10(sK5,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ~ sdtlseqdt0(X0,sK10(sK5,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15327,c_65]) ).
tcf(c_15366,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(sK5,X0))
| ( sK10(sK5,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,sK5))
| ~ sdtlseqdt0(sK10(sK5,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15315,c_65]) ).
tcf(c_15424,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(sK4,X0))
| ( sK10(sK4,sK4) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ~ sdtlseqdt0(sK10(sK4,sK4),X0) ),
inference(superposition,[status(thm)],[c_7606,c_119]) ).
tcf(c_15427,plain,
( ( sK10(sK4,sK4) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ( sz00 != sK4 ) ),
inference(superposition,[status(thm)],[c_7606,c_85]) ).
tcf(c_15430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK4,sK4)),sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK10(sK4,sK4)) ),
inference(superposition,[status(thm)],[c_7606,c_121]) ).
tcf(c_15432,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK4,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ aNaturalNumber0(sK10(sK4,sK4)) ),
inference(superposition,[status(thm)],[c_7606,c_108]) ).
tcf(c_15434,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(X0,sK10(sK4,sK4)))
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK10(sK4,sK4)) ),
inference(superposition,[status(thm)],[c_7606,c_121]) ).
tcf(c_15435,plain,
! [X0: $i] :
( ( sK10(sK4,sK4) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ( sdtpldt0(sK4,X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_7606,c_130]) ).
tcf(c_15436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK4,X0),sK4)
| ( sK10(sK4,sK4) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ~ sdtlseqdt0(X0,sK10(sK4,sK4)) ),
inference(superposition,[status(thm)],[c_7606,c_119]) ).
tcf(c_15437,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ( sdtpldt0(X0,sK10(sK4,sK4)) != sK4 ) ),
inference(superposition,[status(thm)],[c_7606,c_131]) ).
tcf(c_15438,plain,
( ( sK10(sK4,sK4) = sz00 )
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ( sz00 != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15427,c_64]) ).
tcf(c_15442,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK4,sK4))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ aNaturalNumber0(sK10(sK4,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15432,c_64]) ).
tcf(c_15447,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ( sdtpldt0(X0,sK10(sK4,sK4)) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15437,c_64]) ).
tcf(c_15452,plain,
! [X0: $i] :
( ( sK10(sK4,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ( sdtpldt0(sK4,X0) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15435,c_64]) ).
tcf(c_15457,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(X0,sK10(sK4,sK4)))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK10(sK4,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15434,c_64]) ).
tcf(c_15463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK4,sK4)),sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK10(sK4,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15430,c_64]) ).
tcf(c_15469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK4,X0),sK4)
| ( sK10(sK4,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ~ sdtlseqdt0(X0,sK10(sK4,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15436,c_64]) ).
tcf(c_15475,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(sK4,X0))
| ( sK10(sK4,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,sK4))
| ~ sdtlseqdt0(sK10(sK4,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15424,c_64]) ).
tcf(c_15487,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xk,X0))
| ( sK10(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xk,xk))
| ~ sdtlseqdt0(sK10(xk,xk),X0) ),
inference(superposition,[status(thm)],[c_7607,c_119]) ).
tcf(c_15493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(xk,xk)),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK10(xk,xk)) ),
inference(superposition,[status(thm)],[c_7607,c_121]) ).
tcf(c_15495,plain,
! [X0: $i] :
( doDivides0(X0,sK10(xk,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(xk,xk)) ),
inference(superposition,[status(thm)],[c_7607,c_108]) ).
tcf(c_15497,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(xk,xk)))
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK10(xk,xk)) ),
inference(superposition,[status(thm)],[c_7607,c_121]) ).
tcf(c_15498,plain,
! [X0: $i] :
( ( sK10(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xk,xk))
| ( sdtpldt0(xk,X0) != xk ) ),
inference(superposition,[status(thm)],[c_7607,c_130]) ).
tcf(c_15499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xk)
| ( sK10(xk,xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xk,xk))
| ~ sdtlseqdt0(X0,sK10(xk,xk)) ),
inference(superposition,[status(thm)],[c_7607,c_119]) ).
tcf(c_15500,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xk,xk))
| ( sdtpldt0(X0,sK10(xk,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_7607,c_131]) ).
tcf(c_15501,plain,
! [X0: $i] :
( doDivides0(X0,sK10(xk,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15495,c_49]) ).
tcf(c_15506,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xk,xk))
| ( sdtpldt0(X0,sK10(xk,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15500,c_49]) ).
tcf(c_15511,plain,
! [X0: $i] :
( ( sK10(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xk,xk))
| ( sdtpldt0(xk,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15498,c_49]) ).
tcf(c_15516,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(xk,xk)))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(sK10(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15497,c_49]) ).
tcf(c_15522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(xk,xk)),xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK10(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15493,c_49]) ).
tcf(c_15528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),xk)
| ( sK10(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xk,xk))
| ~ sdtlseqdt0(X0,sK10(xk,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15499,c_49]) ).
tcf(c_15534,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(xk,X0))
| ( sK10(xk,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xk,xk))
| ~ sdtlseqdt0(sK10(xk,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15487,c_49]) ).
tcf(c_15562,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK10(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz00))
| ~ sdtlseqdt0(sK10(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_7608,c_119]) ).
tcf(c_15565,plain,
( ( sK10(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK10(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_7608,c_85]) ).
tcf(c_15568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_7608,c_121]) ).
tcf(c_15570,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_7608,c_108]) ).
tcf(c_15572,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK10(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_7608,c_121]) ).
tcf(c_15573,plain,
! [X0: $i] :
( ( sK10(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7608,c_130]) ).
tcf(c_15574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK10(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz00))
| ~ sdtlseqdt0(X0,sK10(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_7608,c_119]) ).
tcf(c_15575,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz00))
| ( sdtpldt0(X0,sK10(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7608,c_131]) ).
tcf(c_15576,plain,
( ( sK10(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK10(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15565,c_92]) ).
tcf(c_15579,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15570,c_92]) ).
tcf(c_15584,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz00))
| ( sdtpldt0(X0,sK10(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15575,c_92]) ).
tcf(c_15589,plain,
! [X0: $i] :
( ( sK10(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15573,c_92]) ).
tcf(c_15594,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK10(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15572,c_92]) ).
tcf(c_15600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15568,c_92]) ).
tcf(c_15606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK10(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz00))
| ~ sdtlseqdt0(X0,sK10(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15574,c_92]) ).
tcf(c_15612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK10(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz00))
| ~ sdtlseqdt0(sK10(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15562,c_92]) ).
tcf(c_15664,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sK4,X0))
| ( sK10(sK4,xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ~ sdtlseqdt0(sK10(sK4,xk),X0) ),
inference(superposition,[status(thm)],[c_7611,c_119]) ).
tcf(c_15670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK4,xk)),xk)
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK10(sK4,xk)) ),
inference(superposition,[status(thm)],[c_7611,c_121]) ).
tcf(c_15671,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ~ doDivides0(X0,sK10(sK4,xk)) ),
inference(superposition,[status(thm)],[c_7611,c_109]) ).
tcf(c_15672,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK4,xk))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(sK4,xk)) ),
inference(superposition,[status(thm)],[c_7611,c_108]) ).
tcf(c_15674,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sK4,xk)))
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK10(sK4,xk)) ),
inference(superposition,[status(thm)],[c_7611,c_121]) ).
tcf(c_15675,plain,
! [X0: $i] :
( ( sK10(sK4,xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ( sdtpldt0(sK4,X0) != xk ) ),
inference(superposition,[status(thm)],[c_7611,c_130]) ).
tcf(c_15676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK4,X0),xk)
| ( sK10(sK4,xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ~ sdtlseqdt0(X0,sK10(sK4,xk)) ),
inference(superposition,[status(thm)],[c_7611,c_119]) ).
tcf(c_15677,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ( sdtpldt0(X0,sK10(sK4,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_7611,c_131]) ).
tcf(c_15678,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ( sdtpldt0(X0,sK10(sK4,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15677,c_64]) ).
tcf(c_15683,plain,
! [X0: $i] :
( ( sK10(sK4,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ( sdtpldt0(sK4,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15675,c_64]) ).
tcf(c_15688,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK4,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(sK4,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15672,c_64]) ).
tcf(c_15695,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sK4,xk)))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK10(sK4,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15674,c_64]) ).
tcf(c_15701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK4,xk)),xk)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK10(sK4,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15670,c_64]) ).
tcf(c_15707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK4,X0),xk)
| ( sK10(sK4,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ~ sdtlseqdt0(X0,sK10(sK4,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15676,c_64]) ).
tcf(c_15713,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sK4,X0))
| ( sK10(sK4,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK4,xk))
| ~ sdtlseqdt0(sK10(sK4,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15664,c_64]) ).
tcf(c_15725,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz10,X0))
| ( sK10(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ~ sdtlseqdt0(sK10(sz10,xk),X0) ),
inference(superposition,[status(thm)],[c_7612,c_119]) ).
tcf(c_15731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz10,xk)),xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz10,xk)) ),
inference(superposition,[status(thm)],[c_7612,c_121]) ).
tcf(c_15732,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ~ doDivides0(X0,sK10(sz10,xk)) ),
inference(superposition,[status(thm)],[c_7612,c_109]) ).
tcf(c_15733,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz10,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(sz10,xk)) ),
inference(superposition,[status(thm)],[c_7612,c_108]) ).
tcf(c_15735,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sz10,xk)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK10(sz10,xk)) ),
inference(superposition,[status(thm)],[c_7612,c_121]) ).
tcf(c_15736,plain,
! [X0: $i] :
( ( sK10(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ( sdtpldt0(sz10,X0) != xk ) ),
inference(superposition,[status(thm)],[c_7612,c_130]) ).
tcf(c_15737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xk)
| ( sK10(sz10,xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ~ sdtlseqdt0(X0,sK10(sz10,xk)) ),
inference(superposition,[status(thm)],[c_7612,c_119]) ).
tcf(c_15738,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ( sdtpldt0(X0,sK10(sz10,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_7612,c_131]) ).
tcf(c_15739,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ( sdtpldt0(X0,sK10(sz10,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15738,c_96]) ).
tcf(c_15744,plain,
! [X0: $i] :
( ( sK10(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ( sdtpldt0(sz10,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15736,c_96]) ).
tcf(c_15749,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz10,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15733,c_96]) ).
tcf(c_15756,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sz10,xk)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK10(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15735,c_96]) ).
tcf(c_15762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz10,xk)),xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15731,c_96]) ).
tcf(c_15768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xk)
| ( sK10(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ~ sdtlseqdt0(X0,sK10(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15737,c_96]) ).
tcf(c_15774,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz10,X0))
| ( sK10(sz10,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz10,xk))
| ~ sdtlseqdt0(sK10(sz10,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15725,c_96]) ).
tcf(c_15786,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK10(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ~ sdtlseqdt0(sK10(sz00,sz10),X0) ),
inference(superposition,[status(thm)],[c_7613,c_119]) ).
tcf(c_15792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_7613,c_121]) ).
tcf(c_15793,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ~ doDivides0(X0,sK10(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_7613,c_109]) ).
tcf(c_15794,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_7613,c_108]) ).
tcf(c_15796,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK10(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_7613,c_121]) ).
tcf(c_15797,plain,
! [X0: $i] :
( ( sK10(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_7613,c_130]) ).
tcf(c_15798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK10(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ~ sdtlseqdt0(X0,sK10(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_7613,c_119]) ).
tcf(c_15799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ( sdtpldt0(X0,sK10(sz00,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_7613,c_131]) ).
tcf(c_15800,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ( sdtpldt0(X0,sK10(sz00,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15799,c_92]) ).
tcf(c_15805,plain,
! [X0: $i] :
( ( sK10(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15797,c_92]) ).
tcf(c_15810,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK10(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15794,c_92]) ).
tcf(c_15816,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ~ doDivides0(X0,sK10(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15793,c_92]) ).
tcf(c_15822,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK10(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15796,c_92]) ).
tcf(c_15828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15792,c_92]) ).
tcf(c_15834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK10(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ~ sdtlseqdt0(X0,sK10(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15798,c_92]) ).
tcf(c_15840,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK10(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sz10))
| ~ sdtlseqdt0(sK10(sz00,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15786,c_92]) ).
tcf(c_16516,plain,
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6750,c_78]) ).
tcf(c_16517,plain,
( doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6750,c_275]) ).
tcf(c_16518,plain,
( sP1(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != xk ) ),
inference(superposition,[status(thm)],[c_6750,c_76]) ).
tcf(c_16519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6750,c_80]) ).
tcf(c_16520,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_6750,c_82]) ).
tcf(c_16521,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(superposition,[status(thm)],[c_6750,c_86]) ).
tcf(c_16522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6750,c_80]) ).
tcf(c_16523,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtasdt0(X0,sz10) ) ),
inference(superposition,[status(thm)],[c_6750,c_87]) ).
tcf(c_16524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sz10 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6750,c_82]) ).
tcf(c_16526,plain,
doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_16517,c_96,c_6561]) ).
tcf(c_16527,plain,
( sP1(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16518,c_96,c_6561]) ).
tcf(c_16530,plain,
sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_16516,c_97,c_96,c_6561]) ).
tcf(c_16531,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtasdt0(X0,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16523,c_97,c_96,c_6561]) ).
tcf(c_16535,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16521,c_96,c_6561]) ).
tcf(c_16540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16524,c_97,c_96,c_6561]) ).
tcf(c_16545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16522,c_96,c_6561]) ).
tcf(c_16551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(X0,sz10))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16520,c_97,c_96,c_6561]) ).
tcf(c_16556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16519,c_96,c_6561]) ).
tcf(c_16613,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(sz00,X0))
| ( sK10(sz00,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ~ sdtlseqdt0(sK10(sz00,sK5),X0) ),
inference(superposition,[status(thm)],[c_7614,c_119]) ).
tcf(c_16616,plain,
( ( sK10(sz00,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ( sz00 != sK5 ) ),
inference(superposition,[status(thm)],[c_7614,c_85]) ).
tcf(c_16619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sK5)),sK5)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK5)) ),
inference(superposition,[status(thm)],[c_7614,c_121]) ).
tcf(c_16620,plain,
! [X0: $i] :
( doDivides0(X0,sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ~ doDivides0(X0,sK10(sz00,sK5)) ),
inference(superposition,[status(thm)],[c_7614,c_109]) ).
tcf(c_16621,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sK5))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK5)) ),
inference(superposition,[status(thm)],[c_7614,c_108]) ).
tcf(c_16623,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(X0,sK10(sz00,sK5)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sK5)) ),
inference(superposition,[status(thm)],[c_7614,c_121]) ).
tcf(c_16624,plain,
! [X0: $i] :
( ( sK10(sz00,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ( sdtpldt0(sz00,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_7614,c_130]) ).
tcf(c_16625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK5)
| ( sK10(sz00,sK5) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ~ sdtlseqdt0(X0,sK10(sz00,sK5)) ),
inference(superposition,[status(thm)],[c_7614,c_119]) ).
tcf(c_16626,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ( sdtpldt0(X0,sK10(sz00,sK5)) != sK5 ) ),
inference(superposition,[status(thm)],[c_7614,c_131]) ).
tcf(c_16627,plain,
( ( sK10(sz00,sK5) = sz00 )
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ( sz00 != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16616,c_92]) ).
tcf(c_16631,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ( sdtpldt0(X0,sK10(sz00,sK5)) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16626,c_92]) ).
tcf(c_16636,plain,
! [X0: $i] :
( ( sK10(sz00,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ( sdtpldt0(sz00,X0) != sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16624,c_92]) ).
tcf(c_16641,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sK5))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16621,c_92]) ).
tcf(c_16647,plain,
! [X0: $i] :
( doDivides0(X0,sK5)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ~ doDivides0(X0,sK10(sz00,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16620,c_92]) ).
tcf(c_16653,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(X0,sK10(sz00,sK5)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16623,c_92]) ).
tcf(c_16659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sK5)),sK5)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16619,c_92]) ).
tcf(c_16665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK5)
| ( sK10(sz00,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ~ sdtlseqdt0(X0,sK10(sz00,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16625,c_92]) ).
tcf(c_16671,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtpldt0(sz00,X0))
| ( sK10(sz00,sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK5))
| ~ sdtlseqdt0(sK10(sz00,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16613,c_92]) ).
tcf(c_16682,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(sz00,X0))
| ( sK10(sz00,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ~ sdtlseqdt0(sK10(sz00,sK4),X0) ),
inference(superposition,[status(thm)],[c_7615,c_119]) ).
tcf(c_16685,plain,
( ( sK10(sz00,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ( sz00 != sK4 ) ),
inference(superposition,[status(thm)],[c_7615,c_85]) ).
tcf(c_16688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sK4)),sK4)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK4)) ),
inference(superposition,[status(thm)],[c_7615,c_121]) ).
tcf(c_16689,plain,
! [X0: $i] :
( doDivides0(X0,sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ~ doDivides0(X0,sK10(sz00,sK4)) ),
inference(superposition,[status(thm)],[c_7615,c_109]) ).
tcf(c_16690,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sK4))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK4)) ),
inference(superposition,[status(thm)],[c_7615,c_108]) ).
tcf(c_16692,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(X0,sK10(sz00,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sK4)) ),
inference(superposition,[status(thm)],[c_7615,c_121]) ).
tcf(c_16693,plain,
! [X0: $i] :
( ( sK10(sz00,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ( sdtpldt0(sz00,X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_7615,c_130]) ).
tcf(c_16694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK4)
| ( sK10(sz00,sK4) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ~ sdtlseqdt0(X0,sK10(sz00,sK4)) ),
inference(superposition,[status(thm)],[c_7615,c_119]) ).
tcf(c_16695,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ( sdtpldt0(X0,sK10(sz00,sK4)) != sK4 ) ),
inference(superposition,[status(thm)],[c_7615,c_131]) ).
tcf(c_16696,plain,
( ( sK10(sz00,sK4) = sz00 )
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ( sz00 != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16685,c_92]) ).
tcf(c_16700,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ( sdtpldt0(X0,sK10(sz00,sK4)) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16695,c_92]) ).
tcf(c_16705,plain,
! [X0: $i] :
( ( sK10(sz00,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ( sdtpldt0(sz00,X0) != sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16693,c_92]) ).
tcf(c_16710,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sK4))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16690,c_92]) ).
tcf(c_16716,plain,
! [X0: $i] :
( doDivides0(X0,sK4)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ~ doDivides0(X0,sK10(sz00,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16689,c_92]) ).
tcf(c_16722,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(X0,sK10(sz00,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16692,c_92]) ).
tcf(c_16728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sK4)),sK4)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16688,c_92]) ).
tcf(c_16734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK4)
| ( sK10(sz00,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ~ sdtlseqdt0(X0,sK10(sz00,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16694,c_92]) ).
tcf(c_16740,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtpldt0(sz00,X0))
| ( sK10(sz00,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK4))
| ~ sdtlseqdt0(sK10(sz00,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16682,c_92]) ).
tcf(c_16751,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz00,X0))
| ( sK10(sz00,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ~ sdtlseqdt0(sK10(sz00,xk),X0) ),
inference(superposition,[status(thm)],[c_7616,c_119]) ).
tcf(c_16757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,xk)),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,xk)) ),
inference(superposition,[status(thm)],[c_7616,c_121]) ).
tcf(c_16758,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ~ doDivides0(X0,sK10(sz00,xk)) ),
inference(superposition,[status(thm)],[c_7616,c_109]) ).
tcf(c_16759,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(sz00,xk)) ),
inference(superposition,[status(thm)],[c_7616,c_108]) ).
tcf(c_16761,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sz00,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,xk)) ),
inference(superposition,[status(thm)],[c_7616,c_121]) ).
tcf(c_16762,plain,
! [X0: $i] :
( ( sK10(sz00,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ( sdtpldt0(sz00,X0) != xk ) ),
inference(superposition,[status(thm)],[c_7616,c_130]) ).
tcf(c_16763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xk)
| ( sK10(sz00,xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ~ sdtlseqdt0(X0,sK10(sz00,xk)) ),
inference(superposition,[status(thm)],[c_7616,c_119]) ).
tcf(c_16764,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ( sdtpldt0(X0,sK10(sz00,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_7616,c_131]) ).
tcf(c_16765,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ( sdtpldt0(X0,sK10(sz00,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16764,c_92]) ).
tcf(c_16770,plain,
! [X0: $i] :
( ( sK10(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ( sdtpldt0(sz00,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16762,c_92]) ).
tcf(c_16775,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16759,c_92]) ).
tcf(c_16781,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ~ doDivides0(X0,sK10(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16758,c_92]) ).
tcf(c_16787,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sz00,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16761,c_92]) ).
tcf(c_16793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,xk)),xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16757,c_92]) ).
tcf(c_16799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xk)
| ( sK10(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ~ sdtlseqdt0(X0,sK10(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16763,c_92]) ).
tcf(c_16805,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sz00,X0))
| ( sK10(sz00,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,xk))
| ~ sdtlseqdt0(sK10(sz00,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16751,c_92]) ).
tcf(c_16816,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11496,c_103]) ).
tcf(c_16817,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11496,c_102]) ).
tcf(c_16818,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),X0) = sdtpldt0(X1,sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11496,c_132]) ).
tcf(c_16819,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),X0) = sdtasdt0(X1,sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11496,c_104]) ).
tcf(c_16820,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),xk) = sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(superposition,[status(thm)],[c_11496,c_6275]) ).
tcf(c_16821,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),X0) = sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11496,c_133]) ).
tcf(c_16822,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),X0) = sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11496,c_105]) ).
tcf(c_16823,plain,
sdtasdt0(sz10,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_11496,c_95]) ).
tcf(c_16824,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sz10) = sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_11496,c_94]) ).
tcf(c_16825,plain,
sdtpldt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_11496,c_91]) ).
tcf(c_16826,plain,
sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sz00) = sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_11496,c_90]) ).
tcf(c_16827,plain,
sdtasdt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sz00,
inference(superposition,[status(thm)],[c_11496,c_89]) ).
tcf(c_16828,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11496,c_88]) ).
tcf(c_16851,plain,
( ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ isPrime0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6562,c_117]) ).
tcf(c_16852,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ doDivides0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6562,c_110]) ).
tcf(c_16853,plain,
( ( sdtasdt0(sdtasdt0(xk,sK4),sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6562,c_101]) ).
tcf(c_16857,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16852,c_6521,c_6561]) ).
tcf(c_16861,plain,
sdtasdt0(sdtasdt0(xk,sK4),sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_16853,c_6521,c_6561]) ).
tcf(c_16862,plain,
( ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ isPrime0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16851,c_6521,c_6561]) ).
tcf(c_16903,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6622,c_124]) ).
tcf(c_16904,plain,
( ( sdtpldt0(sdtasdt0(xk,sK4),sK10(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6622,c_129]) ).
tcf(c_16905,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6622,c_125]) ).
tcf(c_16906,plain,
( iLess0(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6622,c_98]) ).
tcf(c_16907,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16903,c_6521,c_6561]) ).
tcf(c_16911,plain,
( iLess0(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16906,c_6521,c_6561]) ).
tcf(c_16914,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16905,c_6521,c_6561]) ).
tcf(c_16917,plain,
sdtpldt0(sdtasdt0(xk,sK4),sK10(sdtasdt0(xk,sK4),sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_16904,c_6521,c_6561]) ).
tcf(c_16919,plain,
( ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ isPrime0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7956,c_117]) ).
tcf(c_16920,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ doDivides0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7956,c_110]) ).
tcf(c_16921,plain,
( ( sdtasdt0(sdtasdt0(xk,sK5),sK8(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5)))) = sdtasdt0(xk,sdtasdt0(xk,sK5)) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7956,c_101]) ).
tcf(c_16925,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16920,c_6553,c_7955]) ).
tcf(c_16929,plain,
sdtasdt0(sdtasdt0(xk,sK5),sK8(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5)))) = sdtasdt0(xk,sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_16921,c_6553,c_7955]) ).
tcf(c_16930,plain,
( ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ isPrime0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16919,c_6553,c_7955]) ).
tcf(c_16935,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7960,c_124]) ).
tcf(c_16936,plain,
( ( sdtpldt0(sdtasdt0(xk,sK5),sK10(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5)))) = sdtasdt0(xk,sdtasdt0(xk,sK5)) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7960,c_129]) ).
tcf(c_16937,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_7960,c_125]) ).
tcf(c_16938,plain,
( iLess0(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7960,c_98]) ).
tcf(c_16939,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16935,c_6553,c_7955]) ).
tcf(c_16943,plain,
( iLess0(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16938,c_6553,c_7955]) ).
tcf(c_16946,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16937,c_6553,c_7955]) ).
tcf(c_16949,plain,
sdtpldt0(sdtasdt0(xk,sK5),sK10(sdtasdt0(xk,sK5),sdtasdt0(xk,sdtasdt0(xk,sK5)))) = sdtasdt0(xk,sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_16936,c_6553,c_7955]) ).
tcf(c_17316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtpldt0(sz00,X0))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_6751,c_119]) ).
tcf(c_17321,plain,
( sdtlseqdt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6751,c_283]) ).
tcf(c_17322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6751,c_121]) ).
tcf(c_17326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6751,c_121]) ).
tcf(c_17327,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_6751,c_130]) ).
tcf(c_17328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6751,c_119]) ).
tcf(c_17329,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(superposition,[status(thm)],[c_6751,c_131]) ).
tcf(c_17330,plain,
sdtlseqdt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_17321,c_92,c_6561]) ).
tcf(c_17331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17329,c_92,c_6561]) ).
tcf(c_17335,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17327,c_92,c_6561]) ).
tcf(c_17339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17326,c_92,c_6561]) ).
tcf(c_17344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17322,c_92,c_6561]) ).
tcf(c_17349,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17328,c_92,c_6561]) ).
tcf(c_17354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtpldt0(sz00,X0))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17316,c_92,c_6561]) ).
tcf(c_17362,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_17330,c_124]) ).
tcf(c_17363,plain,
( ( sdtpldt0(sz00,sK10(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_17330,c_129]) ).
tcf(c_17364,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00) ),
inference(superposition,[status(thm)],[c_17330,c_125]) ).
tcf(c_17365,plain,
( iLess0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_17330,c_98]) ).
tcf(c_17366,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17362,c_92,c_6561]) ).
tcf(c_17370,plain,
( iLess0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17365,c_92,c_6561]) ).
tcf(c_17373,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17364,c_92,c_6561]) ).
tcf(c_17376,plain,
sdtpldt0(sz00,sK10(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_17363,c_92,c_6561]) ).
tcf(c_17573,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6753,c_82]) ).
tcf(c_17576,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sz00 ) ),
inference(superposition,[status(thm)],[c_6753,c_87]) ).
tcf(c_17577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6753,c_82]) ).
tcf(c_17579,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17576,c_92,c_6561]) ).
tcf(c_17584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17577,c_92,c_6561]) ).
tcf(c_17590,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17573,c_92,c_6561]) ).
tcf(c_17990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6752,c_119]) ).
tcf(c_17996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6752,c_121]) ).
tcf(c_17998,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6752,c_108]) ).
tcf(c_18000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtpldt0(X0,sz00))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_6752,c_121]) ).
tcf(c_18001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(superposition,[status(thm)],[c_6752,c_130]) ).
tcf(c_18002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6752,c_119]) ).
tcf(c_18003,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_6752,c_131]) ).
tcf(c_18004,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17998,c_92,c_6561]) ).
tcf(c_18008,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18003,c_92,c_6561]) ).
tcf(c_18012,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18001,c_92,c_6561]) ).
tcf(c_18016,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18002,c_92,c_6561]) ).
tcf(c_18021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17990,c_92,c_6561]) ).
tcf(c_18026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtpldt0(X0,sz00))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18000,c_92,c_6561]) ).
tcf(c_18031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17996,c_92,c_6561]) ).
tcf(c_18105,plain,
( doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6754,c_275]) ).
tcf(c_18107,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6754,c_80]) ).
tcf(c_18109,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6754,c_86]) ).
tcf(c_18110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6754,c_80]) ).
tcf(c_18114,plain,
doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_18105,c_92,c_6561]) ).
tcf(c_18115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18109,c_92,c_6561]) ).
tcf(c_18120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18110,c_92,c_6561]) ).
tcf(c_18126,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18107,c_92,c_6561]) ).
tcf(c_18134,plain,
( ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sK8(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_18114,c_101]) ).
tcf(c_18137,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sK8(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_18134,c_92,c_6561]) ).
tcf(c_18711,plain,
( ( sz00 = sK4 )
| ( xk = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(xk,sK2(sK4)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7144,c_83]) ).
tcf(c_18713,plain,
( sdtlseqdt0(sK2(sK4),sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7144,c_78]) ).
tcf(c_18714,plain,
( doDivides0(sK2(sK4),sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7144,c_275]) ).
tcf(c_18715,plain,
( sP1(sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(xk,sK2(sK4)) != xk ) ),
inference(superposition,[status(thm)],[c_7144,c_76]) ).
tcf(c_18716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK2(sK4)),sdtasdt0(sK2(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = xk )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_7144,c_80]) ).
tcf(c_18717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK2(sK4)),sdtasdt0(X0,xk))
| ( sz00 = sK4 )
| ( xk = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sK2(sK4),X0) ),
inference(superposition,[status(thm)],[c_7144,c_82]) ).
tcf(c_18718,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = xk )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(sK2(sK4),X0) != sdtasdt0(xk,sK2(sK4)) ) ),
inference(superposition,[status(thm)],[c_7144,c_86]) ).
tcf(c_18719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2(sK4),X0),sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ( X0 = xk )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_7144,c_80]) ).
tcf(c_18720,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( xk = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(xk,sK2(sK4)) != sdtasdt0(X0,xk) ) ),
inference(superposition,[status(thm)],[c_7144,c_87]) ).
tcf(c_18721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ( xk = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7144,c_82]) ).
tcf(c_18722,plain,
( aNaturalNumber0(sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7144,c_106]) ).
tcf(c_18723,plain,
( aNaturalNumber0(sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18722,c_49]) ).
tcf(c_18727,plain,
( doDivides0(sK2(sK4),sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18714,c_49]) ).
tcf(c_18731,plain,
( sP1(sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(xk,sK2(sK4)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18715,c_49]) ).
tcf(c_18736,plain,
( sdtlseqdt0(sK2(sK4),sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18713,c_60,c_49]) ).
tcf(c_18740,plain,
( ( sz00 = sK4 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(xk,sK2(sK4)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18711,c_60,c_49]) ).
tcf(c_18751,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(xk,sK2(sK4)) != sdtasdt0(X0,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18720,c_60,c_49]) ).
tcf(c_18757,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = xk )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(sK2(sK4),X0) != sdtasdt0(xk,sK2(sK4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18718,c_49]) ).
tcf(c_18764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18721,c_60,c_49]) ).
tcf(c_18771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2(sK4),X0),sdtasdt0(xk,sK2(sK4)))
| ( sz00 = sK4 )
| ( X0 = xk )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18719,c_49]) ).
tcf(c_18779,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK2(sK4)),sdtasdt0(X0,xk))
| ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sK2(sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18717,c_60,c_49]) ).
tcf(c_18786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK2(sK4)),sdtasdt0(sK2(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = xk )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18716,c_49]) ).
tcf(c_18815,plain,
( doDivides0(sK2(sK5),sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ iLess0(sK5,xk)
| ~ aNaturalNumber0(sK2(sK5)) ),
inference(superposition,[status(thm)],[c_55,c_8032]) ).
tcf(c_18817,plain,
( isPrime0(sK5)
| doDivides0(sK9(sK5),sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(superposition,[status(thm)],[c_114,c_8032]) ).
tcf(c_18825,plain,
( isPrime0(sK5)
| doDivides0(sK9(sK5),sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18817,c_65]) ).
tcf(c_18831,plain,
( doDivides0(sK2(sK5),sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ iLess0(sK5,xk)
| ~ aNaturalNumber0(sK2(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18815,c_65]) ).
tcf(c_18843,plain,
( doDivides0(sK2(sK4),sz00)
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ iLess0(sK4,xk)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_55,c_8036]) ).
tcf(c_18845,plain,
( isPrime0(sK4)
| doDivides0(sK9(sK4),sz00)
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(superposition,[status(thm)],[c_114,c_8036]) ).
tcf(c_18856,plain,
( doDivides0(sK2(sK4),sz00)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18843,c_62,c_64,c_7125]) ).
tcf(c_18903,plain,
( doDivides0(sK2(xk),sz00)
| ( xk = sz00 )
| ( xk = sz10 )
| ~ aNaturalNumber0(xk)
| ~ iLess0(xk,xk)
| ~ aNaturalNumber0(sK2(xk)) ),
inference(superposition,[status(thm)],[c_55,c_8040]) ).
tcf(c_18910,plain,
( doDivides0(sK2(xk),sz00)
| ~ iLess0(xk,xk)
| ~ aNaturalNumber0(sK2(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18903,c_60,c_61,c_49]) ).
tcf(c_18920,plain,
( doDivides0(sK2(sK4),xk)
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ iLess0(sK4,xk)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_55,c_8044]) ).
tcf(c_18922,plain,
( isPrime0(sK4)
| doDivides0(sK9(sK4),xk)
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(superposition,[status(thm)],[c_114,c_8044]) ).
tcf(c_18933,plain,
( doDivides0(sK2(sK4),xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18920,c_62,c_64,c_7125]) ).
tcf(c_18946,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_8163]) ).
tcf(c_18950,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18946,c_64]) ).
tcf(c_18960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_18950,c_124]) ).
tcf(c_18961,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sK4,sK10(sK4,X0)) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18950,c_129]) ).
tcf(c_18962,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_18950,c_125]) ).
tcf(c_18963,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sK4,X0)
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18950,c_98]) ).
tcf(c_18967,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK4,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_18950,c_124]) ).
tcf(c_18968,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,X0)
| ( sdtpldt0(X0,sK10(X0,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18950,c_129]) ).
tcf(c_18969,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_18950,c_125]) ).
tcf(c_18970,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18950,c_98]) ).
tcf(c_18971,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18970,c_49]) ).
tcf(c_18976,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sK4,X0)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18963,c_64]) ).
tcf(c_18981,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18969,c_49]) ).
tcf(c_18986,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,X0)
| ( sdtpldt0(X0,sK10(X0,xk)) = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18968,c_49]) ).
tcf(c_18990,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18962,c_64]) ).
tcf(c_18995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sK4,sK10(sK4,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18961,c_64]) ).
tcf(c_18999,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK4,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18967,c_49]) ).
tcf(c_19005,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18960,c_64]) ).
tcf(c_19020,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_8167]) ).
tcf(c_19024,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19020,c_96]) ).
tcf(c_19028,plain,
( sP1(sK2(sK4))
| ( sz00 = sK4 )
| ( sdtasdt0(xk,sK2(sK4)) != xk ) ),
inference(global_subsumption_just,[status(thm)],[c_18731,c_7127,c_18731]) ).
tcf(c_19252,plain,
( sdtlseqdt0(sz10,sK2(sK4))
| ( sz00 = sK4 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7147,c_78]) ).
tcf(c_19253,plain,
( doDivides0(sz10,sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7147,c_275]) ).
tcf(c_19255,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sK4),sdtasdt0(sz10,X0))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sK2(sK4),X0) ),
inference(superposition,[status(thm)],[c_7147,c_80]) ).
tcf(c_19256,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sK4),sdtasdt0(X0,sK2(sK4)))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_7147,c_82]) ).
tcf(c_19257,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(sz10,X0) != sK2(sK4) ) ),
inference(superposition,[status(thm)],[c_7147,c_86]) ).
tcf(c_19258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK2(sK4))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7147,c_80]) ).
tcf(c_19259,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(X0,sK2(sK4)) != sK2(sK4) ) ),
inference(superposition,[status(thm)],[c_7147,c_87]) ).
tcf(c_19260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2(sK4)),sK2(sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_7147,c_82]) ).
tcf(c_19262,plain,
( doDivides0(sz10,sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19253,c_96]) ).
tcf(c_19266,plain,
( sdtlseqdt0(sz10,sK2(sK4))
| ( sz00 = sK4 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19252,c_96]) ).
tcf(c_19271,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(sz10,X0) != sK2(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19257,c_97,c_96]) ).
tcf(c_19277,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(X0,sK2(sK4)) != sK2(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19259,c_96]) ).
tcf(c_19284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2(sK4)),sK2(sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19260,c_96]) ).
tcf(c_19292,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK2(sK4))
| ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19258,c_97,c_96]) ).
tcf(c_19299,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sK4),sdtasdt0(X0,sK2(sK4)))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19256,c_96]) ).
tcf(c_19307,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sK4),sdtasdt0(sz10,X0))
| ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sK2(sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19255,c_97,c_96]) ).
tcf(c_19329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_19024,c_124]) ).
tcf(c_19330,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sz10,sK10(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19024,c_129]) ).
tcf(c_19331,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_19024,c_125]) ).
tcf(c_19332,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19024,c_98]) ).
tcf(c_19336,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_19024,c_124]) ).
tcf(c_19337,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK10(X0,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19024,c_129]) ).
tcf(c_19338,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_19024,c_125]) ).
tcf(c_19339,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19024,c_98]) ).
tcf(c_19340,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19339,c_49]) ).
tcf(c_19345,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19332,c_96]) ).
tcf(c_19350,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19338,c_49]) ).
tcf(c_19355,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK10(X0,xk)) = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19337,c_49]) ).
tcf(c_19359,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19331,c_96]) ).
tcf(c_19364,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sz10,sK10(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19330,c_96]) ).
tcf(c_19368,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19336,c_49]) ).
tcf(c_19374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19329,c_96]) ).
tcf(c_19413,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_8171]) ).
tcf(c_19416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19413,c_92]) ).
tcf(c_19426,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sz10)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19416,c_124]) ).
tcf(c_19427,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK10(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19416,c_129]) ).
tcf(c_19428,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19416,c_125]) ).
tcf(c_19429,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19416,c_98]) ).
tcf(c_19433,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_19416,c_124]) ).
tcf(c_19434,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK10(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19416,c_129]) ).
tcf(c_19435,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_19416,c_125]) ).
tcf(c_19436,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19416,c_98]) ).
tcf(c_19437,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19416,c_8167]) ).
tcf(c_19443,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19436,c_96]) ).
tcf(c_19448,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19429,c_92]) ).
tcf(c_19453,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19435,c_96]) ).
tcf(c_19458,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK10(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19434,c_96]) ).
tcf(c_19462,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19428,c_92]) ).
tcf(c_19467,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK10(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19427,c_92]) ).
tcf(c_19471,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19433,c_96]) ).
tcf(c_19477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sz10)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19426,c_92]) ).
tcf(c_19570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19437,c_124]) ).
tcf(c_19571,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sz00,sK10(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19437,c_129]) ).
tcf(c_19572,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19437,c_125]) ).
tcf(c_19573,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19437,c_98]) ).
tcf(c_19577,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_19437,c_124]) ).
tcf(c_19578,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK10(X0,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19437,c_129]) ).
tcf(c_19579,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_19437,c_125]) ).
tcf(c_19580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19437,c_98]) ).
tcf(c_19581,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19580,c_49]) ).
tcf(c_19586,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19573,c_92]) ).
tcf(c_19591,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19579,c_49]) ).
tcf(c_19596,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK10(X0,xk)) = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19578,c_49]) ).
tcf(c_19600,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19572,c_92]) ).
tcf(c_19605,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sz00,sK10(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19571,c_92]) ).
tcf(c_19609,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19577,c_49]) ).
tcf(c_19615,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19570,c_92]) ).
tcf(c_19631,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_8175]) ).
tcf(c_19636,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19631,c_92]) ).
tcf(c_19646,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK5)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19636,c_124]) ).
tcf(c_19647,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| ( sdtpldt0(sz00,sK10(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19636,c_129]) ).
tcf(c_19648,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19636,c_125]) ).
tcf(c_19649,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19636,c_98]) ).
tcf(c_19654,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_19636,c_124]) ).
tcf(c_19655,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK10(X0,sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19636,c_129]) ).
tcf(c_19656,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_19636,c_125]) ).
tcf(c_19657,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19636,c_98]) ).
tcf(c_19658,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK5)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19657,c_65]) ).
tcf(c_19663,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19649,c_92]) ).
tcf(c_19668,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19656,c_65]) ).
tcf(c_19673,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK10(X0,sK5)) = sK5 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19655,c_65]) ).
tcf(c_19677,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19648,c_92]) ).
tcf(c_19682,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK5)
| ( sdtpldt0(sz00,sK10(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19647,c_92]) ).
tcf(c_19686,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19654,c_65]) ).
tcf(c_19692,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK5)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19646,c_92]) ).
tcf(c_19708,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_8179]) ).
tcf(c_19714,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19708,c_92]) ).
tcf(c_19943,plain,
( sdtlseqdt0(sK2(sK4),sK2(sK4))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7148,c_78]) ).
tcf(c_19944,plain,
( doDivides0(sK2(sK4),sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7148,c_275]) ).
tcf(c_19945,plain,
( sP1(sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK2(sK4))
| ( sK2(sK4) != xk ) ),
inference(superposition,[status(thm)],[c_7148,c_76]) ).
tcf(c_19946,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sK4),sdtasdt0(sK2(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_7148,c_80]) ).
tcf(c_19947,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sK4),sdtasdt0(X0,sz10))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sK2(sK4),X0) ),
inference(superposition,[status(thm)],[c_7148,c_82]) ).
tcf(c_19948,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(sK2(sK4),X0) != sK2(sK4) ) ),
inference(superposition,[status(thm)],[c_7148,c_86]) ).
tcf(c_19949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2(sK4),X0),sK2(sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_7148,c_80]) ).
tcf(c_19950,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(X0,sz10) != sK2(sK4) ) ),
inference(superposition,[status(thm)],[c_7148,c_87]) ).
tcf(c_19951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK2(sK4))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7148,c_82]) ).
tcf(c_19953,plain,
( doDivides0(sK2(sK4),sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19944,c_96]) ).
tcf(c_19957,plain,
( sP1(sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4))
| ( sK2(sK4) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19945,c_96]) ).
tcf(c_19962,plain,
( sdtlseqdt0(sK2(sK4),sK2(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19943,c_97,c_96]) ).
tcf(c_19972,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(X0,sz10) != sK2(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19950,c_97,c_96]) ).
tcf(c_19978,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(sK2(sK4),X0) != sK2(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19948,c_96]) ).
tcf(c_19985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK2(sK4))
| ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19951,c_97,c_96]) ).
tcf(c_19992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2(sK4),X0),sK2(sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19949,c_96]) ).
tcf(c_20000,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sK4),sdtasdt0(X0,sz10))
| ( sz00 = sK4 )
| ( sK2(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sK2(sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19947,c_97,c_96]) ).
tcf(c_20007,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(sK4),sdtasdt0(sK2(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19946,c_96]) ).
tcf(c_20026,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK4)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19714,c_124]) ).
tcf(c_20027,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| ( sdtpldt0(sz00,sK10(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19714,c_129]) ).
tcf(c_20028,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19714,c_125]) ).
tcf(c_20029,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19714,c_98]) ).
tcf(c_20035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_19714,c_124]) ).
tcf(c_20036,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK10(X0,sK4)) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19714,c_129]) ).
tcf(c_20037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_19714,c_125]) ).
tcf(c_20038,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19714,c_98]) ).
tcf(c_20041,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK4)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20038,c_64]) ).
tcf(c_20046,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20029,c_92]) ).
tcf(c_20051,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20037,c_64]) ).
tcf(c_20056,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK10(X0,sK4)) = sK4 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20036,c_64]) ).
tcf(c_20060,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20028,c_92]) ).
tcf(c_20065,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK4)
| ( sdtpldt0(sz00,sK10(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20027,c_92]) ).
tcf(c_20069,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20035,c_64]) ).
tcf(c_20075,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK4)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20026,c_92]) ).
tcf(c_20091,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_8183]) ).
tcf(c_20107,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_8298,c_82]) ).
tcf(c_20110,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8298,c_87]) ).
tcf(c_20111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_8298,c_82]) ).
tcf(c_20113,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20110,c_92,c_7955]) ).
tcf(c_20118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20111,c_92,c_7955]) ).
tcf(c_20124,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20107,c_92,c_7955]) ).
tcf(c_20135,plain,
( doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_8299,c_275]) ).
tcf(c_20137,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_8299,c_80]) ).
tcf(c_20139,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8299,c_86]) ).
tcf(c_20140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_8299,c_80]) ).
tcf(c_20144,plain,
doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20135,c_92,c_7955]) ).
tcf(c_20145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20139,c_92,c_7955]) ).
tcf(c_20150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20140,c_92,c_7955]) ).
tcf(c_20156,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20137,c_92,c_7955]) ).
tcf(c_20163,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20144,c_110]) ).
tcf(c_20164,plain,
( ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sK8(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20144,c_101]) ).
tcf(c_20167,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20163,c_92,c_7955]) ).
tcf(c_20171,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sK8(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20164,c_92,c_7955]) ).
tcf(c_20229,plain,
( sP1(sK2(sK4))
| ( sz00 = sK4 )
| ( sK2(sK4) != xk ) ),
inference(global_subsumption_just,[status(thm)],[c_19957,c_7127,c_19957]) ).
tcf(c_20462,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK2(sK4)))
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_7151,c_82]) ).
tcf(c_20465,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(X0,sK2(sK4)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7151,c_87]) ).
tcf(c_20466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2(sK4)),sz00)
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_7151,c_82]) ).
tcf(c_20468,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(X0,sK2(sK4)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20465,c_92]) ).
tcf(c_20475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK2(sK4)),sz00)
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20466,c_92]) ).
tcf(c_20483,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK2(sK4)))
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20462,c_92]) ).
tcf(c_21235,plain,
( doDivides0(sK2(sK4),sz00)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7152,c_275]) ).
tcf(c_21237,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_7152,c_80]) ).
tcf(c_21239,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(sK2(sK4),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7152,c_86]) ).
tcf(c_21240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2(sK4),X0),sz00)
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_7152,c_80]) ).
tcf(c_21245,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ( sdtasdt0(sK2(sK4),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21239,c_92]) ).
tcf(c_21252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2(sK4),X0),sz00)
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21240,c_92]) ).
tcf(c_21260,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK2(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = sz00 )
| ( sK2(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21237,c_92]) ).
tcf(c_21757,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(superposition,[status(thm)],[c_7293,c_83]) ).
tcf(c_21759,plain,
( sdtlseqdt0(sdtasdt0(xk,sK4),sz00)
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(superposition,[status(thm)],[c_7293,c_78]) ).
tcf(c_21762,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00))
| ~ sdtlseqdt0(sK8(sdtasdt0(xk,sK4),sz00),X0) ),
inference(superposition,[status(thm)],[c_7293,c_80]) ).
tcf(c_21763,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sz00)))
| ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(superposition,[status(thm)],[c_7293,c_82]) ).
tcf(c_21764,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00))
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7293,c_86]) ).
tcf(c_21765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sz00)
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(superposition,[status(thm)],[c_7293,c_80]) ).
tcf(c_21766,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00))
| ( sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7293,c_87]) ).
tcf(c_21767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sz00)),sz00)
| ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(superposition,[status(thm)],[c_7293,c_82]) ).
tcf(c_21769,plain,
( sdtlseqdt0(sdtasdt0(xk,sK4),sz00)
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21759,c_6521]) ).
tcf(c_21773,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21757,c_6521]) ).
tcf(c_21777,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00))
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21764,c_6521]) ).
tcf(c_21783,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00))
| ( sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21766,c_6521]) ).
tcf(c_21789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sz00)),sz00)
| ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21767,c_6521]) ).
tcf(c_21796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sz00)
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21765,c_6521]) ).
tcf(c_21803,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sz00)))
| ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21763,c_6521]) ).
tcf(c_21810,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sz00))
| ~ sdtlseqdt0(sK8(sdtasdt0(xk,sK4),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21762,c_6521]) ).
tcf(c_22449,plain,
( ( sz10 = sz00 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sK4) != sz00 ) ),
inference(superposition,[status(thm)],[c_7294,c_83]) ).
tcf(c_22451,plain,
( sdtlseqdt0(sz10,sdtasdt0(xk,sK4))
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7294,c_78]) ).
tcf(c_22454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sK8(sz10,sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_7294,c_80]) ).
tcf(c_22455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sK8(sz10,sdtasdt0(xk,sK4))))
| ( X0 = sz10 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7294,c_82]) ).
tcf(c_22456,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_7294,c_86]) ).
tcf(c_22457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xk,sK4))
| ( sz10 = sz00 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK8(sz10,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7294,c_80]) ).
tcf(c_22458,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sK8(sz10,sdtasdt0(xk,sK4))) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_7294,c_87]) ).
tcf(c_22459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sdtasdt0(xk,sK4))),sdtasdt0(xk,sK4))
| ( X0 = sz10 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7294,c_82]) ).
tcf(c_22461,plain,
( sdtlseqdt0(sz10,sdtasdt0(xk,sK4))
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22451,c_96]) ).
tcf(c_22465,plain,
( ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sK4) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22449,c_97,c_96]) ).
tcf(c_22469,plain,
! [X0: $i] :
( ( sK8(sz10,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22456,c_97,c_96]) ).
tcf(c_22474,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sK8(sz10,sdtasdt0(xk,sK4))) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22458,c_96]) ).
tcf(c_22480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sdtasdt0(xk,sK4))),sdtasdt0(xk,sK4))
| ( X0 = sz10 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22459,c_96]) ).
tcf(c_22487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xk,sK4))
| ( sK8(sz10,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK8(sz10,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22457,c_97,c_96]) ).
tcf(c_22493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sK8(sz10,sdtasdt0(xk,sK4))))
| ( X0 = sz10 )
| ( sK8(sz10,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22455,c_96]) ).
tcf(c_22500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sz10,X0))
| ( sK8(sz10,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sK8(sz10,sdtasdt0(xk,sK4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22454,c_97,c_96]) ).
tcf(c_22556,plain,
sdtasdt0(sK4,sK5) = sdtasdt0(sK5,sK4),
inference(superposition,[status(thm)],[c_65,c_6276]) ).
tcf(c_22559,plain,
sdtasdt0(sz00,sK4) = sdtasdt0(sK4,sz00),
inference(superposition,[status(thm)],[c_92,c_6276]) ).
tcf(c_22560,plain,
sdtasdt0(sz10,sK4) = sdtasdt0(sK4,sz10),
inference(superposition,[status(thm)],[c_96,c_6276]) ).
tcf(c_22561,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sK4) = sdtasdt0(sK4,sK8(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_6276]) ).
tcf(c_22562,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,X0),sK4) = sdtasdt0(sK4,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_6276]) ).
tcf(c_22563,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),sK4) = sdtasdt0(sK4,sK9(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_6276]) ).
tcf(c_22564,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK10(X0,X1),sK4) = sdtasdt0(sK4,sK10(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_6276]) ).
tcf(c_22565,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X1,X0),sK4) = sdtasdt0(sK4,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_6276]) ).
tcf(c_22567,plain,
sdtasdt0(sdtasdt0(xk,sK4),sK4) = sdtasdt0(sK4,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6521,c_6276]) ).
tcf(c_22568,plain,
sdtasdt0(sdtasdt0(xk,sK5),sK4) = sdtasdt0(sK4,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_6553,c_6276]) ).
tcf(c_22569,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sK4) = sdtasdt0(sK4,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_6561,c_6276]) ).
tcf(c_22570,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),sK4) = sdtasdt0(sK4,sK2(sK4)) ) ),
inference(superposition,[status(thm)],[c_7127,c_6276]) ).
tcf(c_22571,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK3(sK4),sK4) = sdtasdt0(sK4,sK3(sK4)) ) ),
inference(superposition,[status(thm)],[c_7216,c_6276]) ).
tcf(c_22572,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sK4) = sdtasdt0(sK4,sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(superposition,[status(thm)],[c_7955,c_6276]) ).
tcf(c_22574,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sK4) = sdtasdt0(sK4,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(superposition,[status(thm)],[c_11496,c_6276]) ).
tcf(c_22579,plain,
sdtasdt0(sK5,sK4) = xk,
inference(light_normalisation,[status(thm)],[c_22556,c_66]) ).
tcf(c_22679,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_22579,c_80]) ).
tcf(c_22680,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK4))
| ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_22579,c_82]) ).
tcf(c_22681,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK5,X0) != xk ) ),
inference(superposition,[status(thm)],[c_22579,c_86]) ).
tcf(c_22682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),xk)
| ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_22579,c_80]) ).
tcf(c_22683,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK4) != xk ) ),
inference(superposition,[status(thm)],[c_22579,c_87]) ).
tcf(c_22684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4),xk)
| ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_22579,c_82]) ).
tcf(c_22686,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK4) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22683,c_65,c_64]) ).
tcf(c_22691,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK5,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22681,c_65,c_64]) ).
tcf(c_22696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4),xk)
| ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22684,c_65,c_64]) ).
tcf(c_22702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),xk)
| ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22682,c_65,c_64]) ).
tcf(c_22708,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK4))
| ( sz00 = sK4 )
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22680,c_65,c_64]) ).
tcf(c_22714,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22679,c_65,c_64]) ).
tcf(c_22733,plain,
sdtasdt0(sz00,sK5) = sdtasdt0(sK5,sz00),
inference(superposition,[status(thm)],[c_92,c_6277]) ).
tcf(c_22734,plain,
sdtasdt0(sz10,sK5) = sdtasdt0(sK5,sz10),
inference(superposition,[status(thm)],[c_96,c_6277]) ).
tcf(c_22735,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sK5) = sdtasdt0(sK5,sK8(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_6277]) ).
tcf(c_22736,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,X0),sK5) = sdtasdt0(sK5,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_6277]) ).
tcf(c_22737,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),sK5) = sdtasdt0(sK5,sK9(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_6277]) ).
tcf(c_22738,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK10(X0,X1),sK5) = sdtasdt0(sK5,sK10(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_6277]) ).
tcf(c_22739,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X1,X0),sK5) = sdtasdt0(sK5,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_6277]) ).
tcf(c_22741,plain,
sdtasdt0(sdtasdt0(xk,sK4),sK5) = sdtasdt0(sK5,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6521,c_6277]) ).
tcf(c_22742,plain,
sdtasdt0(sdtasdt0(xk,sK5),sK5) = sdtasdt0(sK5,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_6553,c_6277]) ).
tcf(c_22743,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sK5) = sdtasdt0(sK5,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_6561,c_6277]) ).
tcf(c_22744,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),sK5) = sdtasdt0(sK5,sK2(sK4)) ) ),
inference(superposition,[status(thm)],[c_7127,c_6277]) ).
tcf(c_22745,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK3(sK4),sK5) = sdtasdt0(sK5,sK3(sK4)) ) ),
inference(superposition,[status(thm)],[c_7216,c_6277]) ).
tcf(c_22746,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sK5) = sdtasdt0(sK5,sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(superposition,[status(thm)],[c_7955,c_6277]) ).
tcf(c_22748,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sK5) = sdtasdt0(sK5,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(superposition,[status(thm)],[c_11496,c_6277]) ).
tcf(c_22954,plain,
sdtasdt0(sz10,sz00) = sdtasdt0(sz00,sz10),
inference(superposition,[status(thm)],[c_96,c_6280]) ).
tcf(c_22955,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sz00) = sdtasdt0(sz00,sK8(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_6280]) ).
tcf(c_22956,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,X0),sz00) = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_6280]) ).
tcf(c_22957,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),sz00) = sdtasdt0(sz00,sK9(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_6280]) ).
tcf(c_22958,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK10(X0,X1),sz00) = sdtasdt0(sz00,sK10(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_6280]) ).
tcf(c_22959,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X1,X0),sz00) = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_6280]) ).
tcf(c_22961,plain,
sdtasdt0(sdtasdt0(xk,sK4),sz00) = sdtasdt0(sz00,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6521,c_6280]) ).
tcf(c_22962,plain,
sdtasdt0(sdtasdt0(xk,sK5),sz00) = sdtasdt0(sz00,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_6553,c_6280]) ).
tcf(c_22963,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz00) = sdtasdt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_6561,c_6280]) ).
tcf(c_22964,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),sz00) = sdtasdt0(sz00,sK2(sK4)) ) ),
inference(superposition,[status(thm)],[c_7127,c_6280]) ).
tcf(c_22965,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK3(sK4),sz00) = sdtasdt0(sz00,sK3(sK4)) ) ),
inference(superposition,[status(thm)],[c_7216,c_6280]) ).
tcf(c_22966,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz00) = sdtasdt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(superposition,[status(thm)],[c_7955,c_6280]) ).
tcf(c_22968,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sz00) = sdtasdt0(sz00,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(superposition,[status(thm)],[c_11496,c_6280]) ).
tcf(c_23467,plain,
( ( sz00 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sK5) != sz00 ) ),
inference(superposition,[status(thm)],[c_7295,c_83]) ).
tcf(c_23472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(sK8(sK5,sdtasdt0(xk,sK5)),X0) ),
inference(superposition,[status(thm)],[c_7295,c_80]) ).
tcf(c_23473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,sK8(sK5,sdtasdt0(xk,sK5))))
| ( X0 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7295,c_82]) ).
tcf(c_23474,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ( sdtasdt0(sK5,X0) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_7295,c_86]) ).
tcf(c_23475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sdtasdt0(xk,sK5))
| ( sz00 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(X0,sK8(sK5,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7295,c_80]) ).
tcf(c_23476,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ( sdtasdt0(X0,sK8(sK5,sdtasdt0(xk,sK5))) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_7295,c_87]) ).
tcf(c_23477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK5,sdtasdt0(xk,sK5))),sdtasdt0(xk,sK5))
| ( X0 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7295,c_82]) ).
tcf(c_23481,plain,
( ( sz00 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sK5) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23467,c_65]) ).
tcf(c_23486,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ( sdtasdt0(sK5,X0) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23474,c_65]) ).
tcf(c_23492,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ( sdtasdt0(X0,sK8(sK5,sdtasdt0(xk,sK5))) != sdtasdt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23476,c_65]) ).
tcf(c_23498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK5,sdtasdt0(xk,sK5))),sdtasdt0(xk,sK5))
| ( X0 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23477,c_65]) ).
tcf(c_23505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),sdtasdt0(xk,sK5))
| ( sz00 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(X0,sK8(sK5,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23475,c_65]) ).
tcf(c_23512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,sK8(sK5,sdtasdt0(xk,sK5))))
| ( X0 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23473,c_65]) ).
tcf(c_23519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( sK8(sK5,sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(sK8(sK5,sdtasdt0(xk,sK5)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23472,c_65]) ).
tcf(c_23662,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sz10) = sdtasdt0(sz10,sK8(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_6281]) ).
tcf(c_23663,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,X0),sz10) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_6281]) ).
tcf(c_23664,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK9(X0),sz10) = sdtasdt0(sz10,sK9(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_6281]) ).
tcf(c_23665,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK10(X0,X1),sz10) = sdtasdt0(sz10,sK10(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_6281]) ).
tcf(c_23666,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X1,X0),sz10) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_6281]) ).
tcf(c_23668,plain,
sdtasdt0(sdtasdt0(xk,sK4),sz10) = sdtasdt0(sz10,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6521,c_6281]) ).
tcf(c_23669,plain,
sdtasdt0(sdtasdt0(xk,sK5),sz10) = sdtasdt0(sz10,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_6553,c_6281]) ).
tcf(c_23670,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sz10) = sdtasdt0(sz10,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_6561,c_6281]) ).
tcf(c_23671,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK2(sK4),sz10) = sdtasdt0(sz10,sK2(sK4)) ) ),
inference(superposition,[status(thm)],[c_7127,c_6281]) ).
tcf(c_23672,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK3(sK4),sz10) = sdtasdt0(sz10,sK3(sK4)) ) ),
inference(superposition,[status(thm)],[c_7216,c_6281]) ).
tcf(c_23673,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sz10) = sdtasdt0(sz10,sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(superposition,[status(thm)],[c_7955,c_6281]) ).
tcf(c_23675,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),sz10) = sdtasdt0(sz10,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(superposition,[status(thm)],[c_11496,c_6281]) ).
tcf(c_24403,plain,
( ( sz00 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sK4) != sz00 ) ),
inference(superposition,[status(thm)],[c_7296,c_83]) ).
tcf(c_24408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sK8(sK4,sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_7296,c_80]) ).
tcf(c_24409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sK8(sK4,sdtasdt0(xk,sK4))))
| ( X0 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7296,c_82]) ).
tcf(c_24410,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ( sdtasdt0(sK4,X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_7296,c_86]) ).
tcf(c_24411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sdtasdt0(xk,sK4))
| ( sz00 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK8(sK4,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7296,c_80]) ).
tcf(c_24412,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sK8(sK4,sdtasdt0(xk,sK4))) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_7296,c_87]) ).
tcf(c_24413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK4,sdtasdt0(xk,sK4))),sdtasdt0(xk,sK4))
| ( X0 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7296,c_82]) ).
tcf(c_24417,plain,
( ( sz00 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sK4) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24403,c_64]) ).
tcf(c_24422,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ( sdtasdt0(sK4,X0) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24410,c_64]) ).
tcf(c_24428,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sK8(sK4,sdtasdt0(xk,sK4))) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24412,c_64]) ).
tcf(c_24434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK4,sdtasdt0(xk,sK4))),sdtasdt0(xk,sK4))
| ( X0 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24413,c_64]) ).
tcf(c_24441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,X0),sdtasdt0(xk,sK4))
| ( sz00 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK8(sK4,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24411,c_64]) ).
tcf(c_24448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sK8(sK4,sdtasdt0(xk,sK4))))
| ( X0 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24409,c_64]) ).
tcf(c_24455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sK4,X0))
| ( sz00 = sK4 )
| ( sK8(sK4,sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sK8(sK4,sdtasdt0(xk,sK4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24408,c_64]) ).
tcf(c_24516,plain,
sdtpldt0(xk,sK4) = sdtpldt0(sK4,xk),
inference(superposition,[status(thm)],[c_64,c_6393]) ).
tcf(c_24517,plain,
sdtpldt0(xk,sK5) = sdtpldt0(sK5,xk),
inference(superposition,[status(thm)],[c_65,c_6393]) ).
tcf(c_24520,plain,
sdtpldt0(xk,sz00) = sdtpldt0(sz00,xk),
inference(superposition,[status(thm)],[c_92,c_6393]) ).
tcf(c_24521,plain,
sdtpldt0(xk,sz10) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_96,c_6393]) ).
tcf(c_24522,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK8(X0,X1),xk) = sdtpldt0(xk,sK8(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_100,c_6393]) ).
tcf(c_24523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),xk) = sdtpldt0(xk,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_106,c_6393]) ).
tcf(c_24524,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sK9(X0),xk) = sdtpldt0(xk,sK9(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_6393]) ).
tcf(c_24525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK10(X0,X1),xk) = sdtpldt0(xk,sK10(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_6393]) ).
tcf(c_24526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,X0),xk) = sdtpldt0(xk,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_6393]) ).
tcf(c_24528,plain,
sdtpldt0(sdtasdt0(xk,sK4),xk) = sdtpldt0(xk,sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_6521,c_6393]) ).
tcf(c_24529,plain,
sdtpldt0(sdtasdt0(xk,sK5),xk) = sdtpldt0(xk,sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_6553,c_6393]) ).
tcf(c_24530,plain,
sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk) = sdtpldt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_6561,c_6393]) ).
tcf(c_24531,plain,
( ( sz00 = sK4 )
| ( sdtpldt0(sK2(sK4),xk) = sdtpldt0(xk,sK2(sK4)) ) ),
inference(superposition,[status(thm)],[c_7127,c_6393]) ).
tcf(c_24532,plain,
( ( sz00 = sK4 )
| ( sdtpldt0(sK3(sK4),xk) = sdtpldt0(xk,sK3(sK4)) ) ),
inference(superposition,[status(thm)],[c_7216,c_6393]) ).
tcf(c_24533,plain,
sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk) = sdtpldt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(superposition,[status(thm)],[c_7955,c_6393]) ).
tcf(c_24535,plain,
sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))),xk) = sdtpldt0(xk,sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))),
inference(superposition,[status(thm)],[c_11496,c_6393]) ).
tcf(c_24700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtpldt0(sK4,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_24516,c_119]) ).
tcf(c_24703,plain,
( ( xk = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ( sdtpldt0(xk,sK4) != sz00 ) ),
inference(superposition,[status(thm)],[c_24516,c_85]) ).
tcf(c_24704,plain,
( ( sz00 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ( sdtpldt0(xk,sK4) != sz00 ) ),
inference(superposition,[status(thm)],[c_24516,c_84]) ).
tcf(c_24705,plain,
( sdtlseqdt0(sK4,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_24516,c_283]) ).
tcf(c_24706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),sdtpldt0(xk,sK4))
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_24516,c_121]) ).
tcf(c_24707,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ doDivides0(X0,xk) ),
inference(superposition,[status(thm)],[c_24516,c_109]) ).
tcf(c_24708,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ doDivides0(X0,sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24516,c_108]) ).
tcf(c_24709,plain,
( aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_24516,c_134]) ).
tcf(c_24710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtpldt0(X0,xk))
| ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_24516,c_121]) ).
tcf(c_24711,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK4,X0) != sdtpldt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_24516,c_130]) ).
tcf(c_24712,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK4,X0),sdtpldt0(xk,sK4))
| ( X0 = xk )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_24516,c_119]) ).
tcf(c_24713,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != sdtpldt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_24516,c_131]) ).
tcf(c_24714,plain,
aNaturalNumber0(sdtpldt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_24709,c_64,c_49]) ).
tcf(c_24715,plain,
sdtlseqdt0(sK4,sdtpldt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_24705,c_64,c_49]) ).
tcf(c_24719,plain,
sdtpldt0(xk,sK4) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_24703,c_60,c_64,c_49]) ).
tcf(c_24720,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != sdtpldt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24713,c_64,c_49]) ).
tcf(c_24724,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK4,X0) != sdtpldt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24711,c_64,c_49]) ).
tcf(c_24729,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK4)
| ~ doDivides0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24707,c_64,c_49]) ).
tcf(c_24734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK4,X0),sdtpldt0(xk,sK4))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24712,c_64,c_49]) ).
tcf(c_24739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtpldt0(X0,xk))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24710,c_64,c_49]) ).
tcf(c_24744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),sdtpldt0(xk,sK4))
| ( X0 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24706,c_64,c_49]) ).
tcf(c_24749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtpldt0(sK4,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24700,c_64,c_49]) ).
tcf(c_24776,plain,
sdtpldt0(sdtpldt0(xk,sK4),xk) = sdtpldt0(xk,sdtpldt0(xk,sK4)),
inference(superposition,[status(thm)],[c_24714,c_6393]) ).
tcf(c_24777,plain,
sdtasdt0(sdtpldt0(xk,sK4),sz10) = sdtasdt0(sz10,sdtpldt0(xk,sK4)),
inference(superposition,[status(thm)],[c_24714,c_6281]) ).
tcf(c_24778,plain,
sdtasdt0(sdtpldt0(xk,sK4),sz00) = sdtasdt0(sz00,sdtpldt0(xk,sK4)),
inference(superposition,[status(thm)],[c_24714,c_6280]) ).
tcf(c_24779,plain,
sdtasdt0(sdtpldt0(xk,sK4),sK5) = sdtasdt0(sK5,sdtpldt0(xk,sK4)),
inference(superposition,[status(thm)],[c_24714,c_6277]) ).
tcf(c_24780,plain,
sdtasdt0(sdtpldt0(xk,sK4),sK4) = sdtasdt0(sK4,sdtpldt0(xk,sK4)),
inference(superposition,[status(thm)],[c_24714,c_6276]) ).
tcf(c_24781,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,sK4),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xk,sK4),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24714,c_103]) ).
tcf(c_24782,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xk,sK4)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtpldt0(xk,sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24714,c_102]) ).
tcf(c_24783,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtpldt0(xk,sK4)),X0) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xk,sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24714,c_132]) ).
tcf(c_24784,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtpldt0(xk,sK4)),X0) = sdtasdt0(X1,sdtasdt0(sdtpldt0(xk,sK4),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24714,c_104]) ).
tcf(c_24785,plain,
sdtasdt0(sdtpldt0(xk,sK4),xk) = sdtasdt0(xk,sdtpldt0(xk,sK4)),
inference(superposition,[status(thm)],[c_24714,c_6275]) ).
tcf(c_24786,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,sK4),X0) = sdtpldt0(X0,sdtpldt0(xk,sK4)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24714,c_133]) ).
tcf(c_24787,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,sK4),X0) = sdtasdt0(X0,sdtpldt0(xk,sK4)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24714,c_105]) ).
tcf(c_24788,plain,
sdtasdt0(sz10,sdtpldt0(xk,sK4)) = sdtpldt0(xk,sK4),
inference(superposition,[status(thm)],[c_24714,c_95]) ).
tcf(c_24789,plain,
sdtasdt0(sdtpldt0(xk,sK4),sz10) = sdtpldt0(xk,sK4),
inference(superposition,[status(thm)],[c_24714,c_94]) ).
tcf(c_24790,plain,
sdtpldt0(sz00,sdtpldt0(xk,sK4)) = sdtpldt0(xk,sK4),
inference(superposition,[status(thm)],[c_24714,c_91]) ).
tcf(c_24791,plain,
sdtpldt0(sdtpldt0(xk,sK4),sz00) = sdtpldt0(xk,sK4),
inference(superposition,[status(thm)],[c_24714,c_90]) ).
tcf(c_24792,plain,
sdtasdt0(sz00,sdtpldt0(xk,sK4)) = sz00,
inference(superposition,[status(thm)],[c_24714,c_89]) ).
tcf(c_24793,plain,
sdtasdt0(sdtpldt0(xk,sK4),sz00) = sz00,
inference(superposition,[status(thm)],[c_24714,c_88]) ).
tcf(c_24976,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24715,c_124]) ).
tcf(c_24977,plain,
( ( sdtpldt0(sK4,sK10(sK4,sdtpldt0(xk,sK4))) = sdtpldt0(xk,sK4) )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24715,c_129]) ).
tcf(c_24978,plain,
( ( sdtpldt0(xk,sK4) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ sdtlseqdt0(sdtpldt0(xk,sK4),sK4) ),
inference(superposition,[status(thm)],[c_24715,c_125]) ).
tcf(c_24979,plain,
( iLess0(sK4,sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24715,c_98]) ).
tcf(c_24980,plain,
( iLess0(sK4,sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24979,c_64,c_24714]) ).
tcf(c_24983,plain,
( ( sdtpldt0(xk,sK4) = sK4 )
| ~ sdtlseqdt0(sdtpldt0(xk,sK4),sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24978,c_64,c_24714]) ).
tcf(c_24986,plain,
sdtpldt0(sK4,sK10(sK4,sdtpldt0(xk,sK4))) = sdtpldt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_24977,c_64,c_24714]) ).
tcf(c_24987,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24976,c_64,c_24714]) ).
tcf(c_25402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_7297,c_80]) ).
tcf(c_25403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))))
| ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7297,c_82]) ).
tcf(c_25404,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)))
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_7297,c_86]) ).
tcf(c_25405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7297,c_80]) ).
tcf(c_25406,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_7297,c_87]) ).
tcf(c_25407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7297,c_82]) ).
tcf(c_25409,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)))
| ( sdtasdt0(sdtasdt0(xk,sK4),X0) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25404,c_6521]) ).
tcf(c_25415,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) != sdtasdt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25406,c_6521]) ).
tcf(c_25421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25407,c_6521]) ).
tcf(c_25428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK4),X0),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25405,c_6521]) ).
tcf(c_25435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))))
| ( sdtasdt0(xk,sK4) = X0 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK4),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25403,c_6521]) ).
tcf(c_25442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sdtasdt0(xk,sK4),X0))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sK8(sdtasdt0(xk,sK4),sdtasdt0(xk,sK4)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25402,c_6521]) ).
tcf(c_25469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK5),sdtpldt0(sK5,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_24517,c_119]) ).
tcf(c_25472,plain,
( ( xk = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ( sdtpldt0(xk,sK5) != sz00 ) ),
inference(superposition,[status(thm)],[c_24517,c_85]) ).
tcf(c_25473,plain,
( ( sz00 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ( sdtpldt0(xk,sK5) != sz00 ) ),
inference(superposition,[status(thm)],[c_24517,c_84]) ).
tcf(c_25474,plain,
( sdtlseqdt0(sK5,sdtpldt0(xk,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_24517,c_283]) ).
tcf(c_25475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),sdtpldt0(xk,sK5))
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_24517,c_121]) ).
tcf(c_25476,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xk,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ doDivides0(X0,xk) ),
inference(superposition,[status(thm)],[c_24517,c_109]) ).
tcf(c_25477,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ doDivides0(X0,sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_24517,c_108]) ).
tcf(c_25478,plain,
( aNaturalNumber0(sdtpldt0(xk,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_24517,c_134]) ).
tcf(c_25479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK5),sdtpldt0(X0,xk))
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(superposition,[status(thm)],[c_24517,c_121]) ).
tcf(c_25480,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK5,X0) != sdtpldt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_24517,c_130]) ).
tcf(c_25481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK5,X0),sdtpldt0(xk,sK5))
| ( X0 = xk )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_24517,c_119]) ).
tcf(c_25482,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != sdtpldt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_24517,c_131]) ).
tcf(c_25483,plain,
aNaturalNumber0(sdtpldt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_25478,c_65,c_49]) ).
tcf(c_25484,plain,
sdtlseqdt0(sK5,sdtpldt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_25474,c_65,c_49]) ).
tcf(c_25488,plain,
sdtpldt0(xk,sK5) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_25472,c_60,c_65,c_49]) ).
tcf(c_25489,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xk) != sdtpldt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25482,c_65,c_49]) ).
tcf(c_25493,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK5,X0) != sdtpldt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25480,c_65,c_49]) ).
tcf(c_25498,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xk,sK5))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ doDivides0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25476,c_65,c_49]) ).
tcf(c_25503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK5,X0),sdtpldt0(xk,sK5))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25481,c_65,c_49]) ).
tcf(c_25508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK5),sdtpldt0(X0,xk))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25479,c_65,c_49]) ).
tcf(c_25513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xk),sdtpldt0(xk,sK5))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25475,c_65,c_49]) ).
tcf(c_25518,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK5),sdtpldt0(sK5,X0))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25469,c_65,c_49]) ).
tcf(c_25591,plain,
sdtpldt0(sdtpldt0(xk,sK5),xk) = sdtpldt0(xk,sdtpldt0(xk,sK5)),
inference(superposition,[status(thm)],[c_25483,c_6393]) ).
tcf(c_25592,plain,
sdtasdt0(sdtpldt0(xk,sK5),sz10) = sdtasdt0(sz10,sdtpldt0(xk,sK5)),
inference(superposition,[status(thm)],[c_25483,c_6281]) ).
tcf(c_25593,plain,
sdtasdt0(sdtpldt0(xk,sK5),sz00) = sdtasdt0(sz00,sdtpldt0(xk,sK5)),
inference(superposition,[status(thm)],[c_25483,c_6280]) ).
tcf(c_25594,plain,
sdtasdt0(sdtpldt0(xk,sK5),sK5) = sdtasdt0(sK5,sdtpldt0(xk,sK5)),
inference(superposition,[status(thm)],[c_25483,c_6277]) ).
tcf(c_25595,plain,
sdtasdt0(sdtpldt0(xk,sK5),sK4) = sdtasdt0(sK4,sdtpldt0(xk,sK5)),
inference(superposition,[status(thm)],[c_25483,c_6276]) ).
tcf(c_25596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xk,sK5),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xk,sK5),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25483,c_103]) ).
tcf(c_25597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xk,sK5)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtpldt0(xk,sK5),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25483,c_102]) ).
tcf(c_25598,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtpldt0(xk,sK5)),X0) = sdtpldt0(X1,sdtpldt0(sdtpldt0(xk,sK5),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25483,c_132]) ).
tcf(c_25599,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtpldt0(xk,sK5)),X0) = sdtasdt0(X1,sdtasdt0(sdtpldt0(xk,sK5),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25483,c_104]) ).
tcf(c_25600,plain,
sdtasdt0(sdtpldt0(xk,sK5),xk) = sdtasdt0(xk,sdtpldt0(xk,sK5)),
inference(superposition,[status(thm)],[c_25483,c_6275]) ).
tcf(c_25601,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xk,sK5),X0) = sdtpldt0(X0,sdtpldt0(xk,sK5)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25483,c_133]) ).
tcf(c_25602,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xk,sK5),X0) = sdtasdt0(X0,sdtpldt0(xk,sK5)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25483,c_105]) ).
tcf(c_25603,plain,
sdtasdt0(sz10,sdtpldt0(xk,sK5)) = sdtpldt0(xk,sK5),
inference(superposition,[status(thm)],[c_25483,c_95]) ).
tcf(c_25604,plain,
sdtasdt0(sdtpldt0(xk,sK5),sz10) = sdtpldt0(xk,sK5),
inference(superposition,[status(thm)],[c_25483,c_94]) ).
tcf(c_25605,plain,
sdtpldt0(sz00,sdtpldt0(xk,sK5)) = sdtpldt0(xk,sK5),
inference(superposition,[status(thm)],[c_25483,c_91]) ).
tcf(c_25606,plain,
sdtpldt0(sdtpldt0(xk,sK5),sz00) = sdtpldt0(xk,sK5),
inference(superposition,[status(thm)],[c_25483,c_90]) ).
tcf(c_25607,plain,
sdtasdt0(sz00,sdtpldt0(xk,sK5)) = sz00,
inference(superposition,[status(thm)],[c_25483,c_89]) ).
tcf(c_25608,plain,
sdtasdt0(sdtpldt0(xk,sK5),sz00) = sz00,
inference(superposition,[status(thm)],[c_25483,c_88]) ).
tcf(c_25685,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xk,sK5))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_25484,c_124]) ).
tcf(c_25686,plain,
( ( sdtpldt0(sK5,sK10(sK5,sdtpldt0(xk,sK5))) = sdtpldt0(xk,sK5) )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_25484,c_129]) ).
tcf(c_25687,plain,
( ( sdtpldt0(xk,sK5) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5))
| ~ sdtlseqdt0(sdtpldt0(xk,sK5),sK5) ),
inference(superposition,[status(thm)],[c_25484,c_125]) ).
tcf(c_25688,plain,
( iLess0(sK5,sdtpldt0(xk,sK5))
| ( sdtpldt0(xk,sK5) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_25484,c_98]) ).
tcf(c_25689,plain,
( iLess0(sK5,sdtpldt0(xk,sK5))
| ( sdtpldt0(xk,sK5) = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25688,c_65,c_25483]) ).
tcf(c_25692,plain,
( ( sdtpldt0(xk,sK5) = sK5 )
| ~ sdtlseqdt0(sdtpldt0(xk,sK5),sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25687,c_65,c_25483]) ).
tcf(c_25695,plain,
sdtpldt0(sK5,sK10(sK5,sdtpldt0(xk,sK5))) = sdtpldt0(xk,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_25686,c_65,c_25483]) ).
tcf(c_25696,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xk,sK5))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25685,c_65,c_25483]) ).
tcf(c_25701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xk),sdtpldt0(xk,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_24521,c_119]) ).
tcf(c_25705,plain,
( ( xk = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ( sdtpldt0(sz10,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_24521,c_84]) ).
tcf(c_25706,plain,
( sdtlseqdt0(xk,sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_24521,c_283]) ).
tcf(c_25707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xk))
| ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_24521,c_121]) ).
tcf(c_25708,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xk) ),
inference(superposition,[status(thm)],[c_24521,c_109]) ).
tcf(c_25709,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_24521,c_108]) ).
tcf(c_25710,plain,
( aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_24521,c_134]) ).
tcf(c_25711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xk),sdtpldt0(X0,sz10))
| ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_24521,c_121]) ).
tcf(c_25712,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != sdtpldt0(sz10,xk) ) ),
inference(superposition,[status(thm)],[c_24521,c_130]) ).
tcf(c_25713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),sdtpldt0(sz10,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_24521,c_119]) ).
tcf(c_25714,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xk) ) ),
inference(superposition,[status(thm)],[c_24521,c_131]) ).
tcf(c_25715,plain,
aNaturalNumber0(sdtpldt0(sz10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_25710,c_96,c_49]) ).
tcf(c_25716,plain,
sdtlseqdt0(xk,sdtpldt0(sz10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_25706,c_96,c_49]) ).
tcf(c_25717,plain,
sdtpldt0(sz10,xk) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_25705,c_60,c_96,c_49]) ).
tcf(c_25718,plain,
! [X0: $i] :
( ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25714,c_96,c_49]) ).
tcf(c_25722,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xk,X0) != sdtpldt0(sz10,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25712,c_96,c_49]) ).
tcf(c_25726,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25709,c_96,c_49]) ).
tcf(c_25731,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25708,c_96,c_49]) ).
tcf(c_25736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,X0),sdtpldt0(sz10,xk))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25713,c_96,c_49]) ).
tcf(c_25741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xk),sdtpldt0(X0,sz10))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25711,c_96,c_49]) ).
tcf(c_25746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xk))
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25707,c_96,c_49]) ).
tcf(c_25751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xk),sdtpldt0(xk,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25701,c_96,c_49]) ).
tcf(c_25762,plain,
sdtpldt0(sdtpldt0(sz10,xk),xk) = sdtpldt0(xk,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_25715,c_6393]) ).
tcf(c_25763,plain,
sdtasdt0(sdtpldt0(sz10,xk),sz10) = sdtasdt0(sz10,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_25715,c_6281]) ).
tcf(c_25764,plain,
sdtasdt0(sdtpldt0(sz10,xk),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_25715,c_6280]) ).
tcf(c_25765,plain,
sdtasdt0(sdtpldt0(sz10,xk),sK5) = sdtasdt0(sK5,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_25715,c_6277]) ).
tcf(c_25766,plain,
sdtasdt0(sdtpldt0(sz10,xk),sK4) = sdtasdt0(sK4,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_25715,c_6276]) ).
tcf(c_25767,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xk),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,xk),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25715,c_103]) ).
tcf(c_25768,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz10,xk)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtpldt0(sz10,xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25715,c_102]) ).
tcf(c_25769,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtpldt0(sz10,xk)),X0) = sdtpldt0(X1,sdtpldt0(sdtpldt0(sz10,xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25715,c_132]) ).
tcf(c_25770,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtpldt0(sz10,xk)),X0) = sdtasdt0(X1,sdtasdt0(sdtpldt0(sz10,xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25715,c_104]) ).
tcf(c_25771,plain,
sdtasdt0(sdtpldt0(sz10,xk),xk) = sdtasdt0(xk,sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_25715,c_6275]) ).
tcf(c_25772,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xk),X0) = sdtpldt0(X0,sdtpldt0(sz10,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25715,c_133]) ).
tcf(c_25773,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xk),X0) = sdtasdt0(X0,sdtpldt0(sz10,xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25715,c_105]) ).
tcf(c_25774,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xk)) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_25715,c_95]) ).
tcf(c_25775,plain,
sdtasdt0(sdtpldt0(sz10,xk),sz10) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_25715,c_94]) ).
tcf(c_25776,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xk)) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_25715,c_91]) ).
tcf(c_25777,plain,
sdtpldt0(sdtpldt0(sz10,xk),sz00) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_25715,c_90]) ).
tcf(c_25778,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xk)) = sz00,
inference(superposition,[status(thm)],[c_25715,c_89]) ).
tcf(c_25779,plain,
sdtasdt0(sdtpldt0(sz10,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_25715,c_88]) ).
tcf(c_26518,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(superposition,[status(thm)],[c_7346,c_83]) ).
tcf(c_26520,plain,
( sdtlseqdt0(sdtasdt0(xk,sK5),sz00)
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(superposition,[status(thm)],[c_7346,c_78]) ).
tcf(c_26523,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK5),X0))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00))
| ~ sdtlseqdt0(sK8(sdtasdt0(xk,sK5),sz00),X0) ),
inference(superposition,[status(thm)],[c_7346,c_80]) ).
tcf(c_26524,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sdtasdt0(xk,sK5),sz00)))
| ( sdtasdt0(xk,sK5) = X0 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(superposition,[status(thm)],[c_7346,c_82]) ).
tcf(c_26525,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00))
| ( sdtasdt0(sdtasdt0(xk,sK5),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7346,c_86]) ).
tcf(c_26526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK5),X0),sz00)
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(superposition,[status(thm)],[c_7346,c_80]) ).
tcf(c_26527,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00))
| ( sdtasdt0(X0,sK8(sdtasdt0(xk,sK5),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7346,c_87]) ).
tcf(c_26528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sdtasdt0(xk,sK5),sz00)),sz00)
| ( sdtasdt0(xk,sK5) = X0 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(superposition,[status(thm)],[c_7346,c_82]) ).
tcf(c_26530,plain,
( sdtlseqdt0(sdtasdt0(xk,sK5),sz00)
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26520,c_6553]) ).
tcf(c_26534,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26518,c_6553]) ).
tcf(c_26538,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00))
| ( sdtasdt0(sdtasdt0(xk,sK5),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26525,c_6553]) ).
tcf(c_26544,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = X0 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00))
| ( sdtasdt0(X0,sK8(sdtasdt0(xk,sK5),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26527,c_6553]) ).
tcf(c_26550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sdtasdt0(xk,sK5),sz00)),sz00)
| ( sdtasdt0(xk,sK5) = X0 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26528,c_6553]) ).
tcf(c_26557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK5),X0),sz00)
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26526,c_6553]) ).
tcf(c_26564,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sdtasdt0(xk,sK5),sz00)))
| ( sdtasdt0(xk,sK5) = X0 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xk,sK5),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26524,c_6553]) ).
tcf(c_26571,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK5),X0))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sK8(sdtasdt0(xk,sK5),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xk,sK5),sz00))
| ~ sdtlseqdt0(sK8(sdtasdt0(xk,sK5),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26523,c_6553]) ).
tcf(c_26581,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_25716,c_124]) ).
tcf(c_26582,plain,
( ( sdtpldt0(xk,sK10(xk,sdtpldt0(sz10,xk))) = sdtpldt0(sz10,xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_25716,c_129]) ).
tcf(c_26583,plain,
( ( sdtpldt0(sz10,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ sdtlseqdt0(sdtpldt0(sz10,xk),xk) ),
inference(superposition,[status(thm)],[c_25716,c_125]) ).
tcf(c_26584,plain,
( iLess0(xk,sdtpldt0(sz10,xk))
| ( sdtpldt0(sz10,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_25716,c_98]) ).
tcf(c_26585,plain,
( iLess0(xk,sdtpldt0(sz10,xk))
| ( sdtpldt0(sz10,xk) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26584,c_49,c_25715]) ).
tcf(c_26588,plain,
( ( sdtpldt0(sz10,xk) = xk )
| ~ sdtlseqdt0(sdtpldt0(sz10,xk),xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26583,c_49,c_25715]) ).
tcf(c_26591,plain,
sdtpldt0(xk,sK10(xk,sdtpldt0(sz10,xk))) = sdtpldt0(sz10,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_26582,c_49,c_25715]) ).
tcf(c_26592,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26581,c_49,c_25715]) ).
tcf(c_26605,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xk,sK4)))
| ( X0 = sz00 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24792,c_82]) ).
tcf(c_26608,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ( sdtasdt0(X0,sdtpldt0(xk,sK4)) != sz00 ) ),
inference(superposition,[status(thm)],[c_24792,c_87]) ).
tcf(c_26609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xk,sK4)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24792,c_82]) ).
tcf(c_26611,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xk,sK4)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26608,c_24719,c_92,c_24714]) ).
tcf(c_26615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xk,sK4)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26609,c_24719,c_92,c_24714]) ).
tcf(c_26620,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xk,sK4)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26605,c_24719,c_92,c_24714]) ).
tcf(c_26630,plain,
( doDivides0(sdtpldt0(xk,sK4),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24793,c_275]) ).
tcf(c_26632,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xk,sK4),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24793,c_80]) ).
tcf(c_26634,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ( sdtasdt0(sdtpldt0(xk,sK4),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_24793,c_86]) ).
tcf(c_26635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xk,sK4),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24793,c_80]) ).
tcf(c_26639,plain,
doDivides0(sdtpldt0(xk,sK4),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_26630,c_92,c_24714]) ).
tcf(c_26640,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xk,sK4),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26634,c_24719,c_92,c_24714]) ).
tcf(c_26644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xk,sK4),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26635,c_24719,c_92,c_24714]) ).
tcf(c_26649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xk,sK4),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26632,c_24719,c_92,c_24714]) ).
tcf(c_26707,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ doDivides0(X0,sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26639,c_110]) ).
tcf(c_26708,plain,
( ( sdtasdt0(sdtpldt0(xk,sK4),sK8(sdtpldt0(xk,sK4),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26639,c_101]) ).
tcf(c_26713,plain,
sdtasdt0(sdtpldt0(xk,sK4),sK8(sdtpldt0(xk,sK4),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26708,c_92,c_24714]) ).
tcf(c_26714,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26707,c_92,c_24714]) ).
tcf(c_27084,plain,
( ( sz00 = sK4 )
| ( xk = sz00 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(xk,sK3(sK4)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7358,c_83]) ).
tcf(c_27086,plain,
( sdtlseqdt0(sK3(sK4),sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7358,c_78]) ).
tcf(c_27087,plain,
( doDivides0(sK3(sK4),sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7358,c_275]) ).
tcf(c_27088,plain,
( sP1(sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(xk,sK3(sK4)) != xk ) ),
inference(superposition,[status(thm)],[c_7358,c_76]) ).
tcf(c_27089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK3(sK4)),sdtasdt0(sK3(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = xk )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_7358,c_80]) ).
tcf(c_27090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK3(sK4)),sdtasdt0(X0,xk))
| ( sz00 = sK4 )
| ( xk = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sK3(sK4),X0) ),
inference(superposition,[status(thm)],[c_7358,c_82]) ).
tcf(c_27091,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = xk )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(sK3(sK4),X0) != sdtasdt0(xk,sK3(sK4)) ) ),
inference(superposition,[status(thm)],[c_7358,c_86]) ).
tcf(c_27092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK3(sK4),X0),sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ( X0 = xk )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_7358,c_80]) ).
tcf(c_27093,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( xk = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(xk,sK3(sK4)) != sdtasdt0(X0,xk) ) ),
inference(superposition,[status(thm)],[c_7358,c_87]) ).
tcf(c_27094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ( xk = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7358,c_82]) ).
tcf(c_27095,plain,
( aNaturalNumber0(sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7358,c_106]) ).
tcf(c_27096,plain,
( aNaturalNumber0(sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27095,c_49]) ).
tcf(c_27100,plain,
( doDivides0(sK3(sK4),sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27087,c_49]) ).
tcf(c_27104,plain,
( sP1(sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(xk,sK3(sK4)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27088,c_49]) ).
tcf(c_27109,plain,
( sdtlseqdt0(sK3(sK4),sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27086,c_60,c_49]) ).
tcf(c_27113,plain,
( ( sz00 = sK4 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(xk,sK3(sK4)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27084,c_60,c_49]) ).
tcf(c_27124,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(xk,sK3(sK4)) != sdtasdt0(X0,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27093,c_60,c_49]) ).
tcf(c_27130,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = xk )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(sK3(sK4),X0) != sdtasdt0(xk,sK3(sK4)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27091,c_49]) ).
tcf(c_27137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27094,c_60,c_49]) ).
tcf(c_27144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK3(sK4),X0),sdtasdt0(xk,sK3(sK4)))
| ( sz00 = sK4 )
| ( X0 = xk )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27092,c_49]) ).
tcf(c_27152,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK3(sK4)),sdtasdt0(X0,xk))
| ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sK3(sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27090,c_60,c_49]) ).
tcf(c_27159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK3(sK4)),sdtasdt0(sK3(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = xk )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27089,c_49]) ).
tcf(c_27214,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xk,sK5)))
| ( X0 = sz00 )
| ( sdtpldt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_25607,c_82]) ).
tcf(c_27217,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5))
| ( sdtasdt0(X0,sdtpldt0(xk,sK5)) != sz00 ) ),
inference(superposition,[status(thm)],[c_25607,c_87]) ).
tcf(c_27218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xk,sK5)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_25607,c_82]) ).
tcf(c_27220,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xk,sK5)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27217,c_25488,c_92,c_25483]) ).
tcf(c_27224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xk,sK5)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27218,c_25488,c_92,c_25483]) ).
tcf(c_27229,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xk,sK5)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27214,c_25488,c_92,c_25483]) ).
tcf(c_27239,plain,
( doDivides0(sdtpldt0(xk,sK5),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_25608,c_275]) ).
tcf(c_27241,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xk,sK5),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_25608,c_80]) ).
tcf(c_27243,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5))
| ( sdtasdt0(sdtpldt0(xk,sK5),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_25608,c_86]) ).
tcf(c_27244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xk,sK5),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xk,sK5) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_25608,c_80]) ).
tcf(c_27248,plain,
doDivides0(sdtpldt0(xk,sK5),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_27239,c_92,c_25483]) ).
tcf(c_27249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xk,sK5),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27243,c_25488,c_92,c_25483]) ).
tcf(c_27253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xk,sK5),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27244,c_25488,c_92,c_25483]) ).
tcf(c_27258,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xk,sK5),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27241,c_25488,c_92,c_25483]) ).
tcf(c_27367,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5))
| ~ doDivides0(X0,sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27248,c_110]) ).
tcf(c_27368,plain,
( ( sdtasdt0(sdtpldt0(xk,sK5),sK8(sdtpldt0(xk,sK5),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27248,c_101]) ).
tcf(c_27373,plain,
sdtasdt0(sdtpldt0(xk,sK5),sK8(sdtpldt0(xk,sK5),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_27368,c_92,c_25483]) ).
tcf(c_27374,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27367,c_92,c_25483]) ).
tcf(c_27386,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xk)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_25778,c_82]) ).
tcf(c_27389,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ( sdtasdt0(X0,sdtpldt0(sz10,xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_25778,c_87]) ).
tcf(c_27390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xk)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_25778,c_82]) ).
tcf(c_27392,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27389,c_25717,c_92,c_25715]) ).
tcf(c_27396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xk)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27390,c_25717,c_92,c_25715]) ).
tcf(c_27401,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27386,c_25717,c_92,c_25715]) ).
tcf(c_27523,plain,
( sP1(sK3(sK4))
| ( sz00 = sK4 )
| ( sdtasdt0(xk,sK3(sK4)) != xk ) ),
inference(global_subsumption_just,[status(thm)],[c_27104,c_7216,c_27104]) ).
tcf(c_27905,plain,
( sdtlseqdt0(sz10,sK3(sK4))
| ( sz00 = sK4 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7361,c_78]) ).
tcf(c_27906,plain,
( doDivides0(sz10,sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7361,c_275]) ).
tcf(c_27908,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(sK4),sdtasdt0(sz10,X0))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sK3(sK4),X0) ),
inference(superposition,[status(thm)],[c_7361,c_80]) ).
tcf(c_27909,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(sK4),sdtasdt0(X0,sK3(sK4)))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_7361,c_82]) ).
tcf(c_27910,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(sz10,X0) != sK3(sK4) ) ),
inference(superposition,[status(thm)],[c_7361,c_86]) ).
tcf(c_27911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK3(sK4))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7361,c_80]) ).
tcf(c_27912,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(X0,sK3(sK4)) != sK3(sK4) ) ),
inference(superposition,[status(thm)],[c_7361,c_87]) ).
tcf(c_27913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK4)),sK3(sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_7361,c_82]) ).
tcf(c_27915,plain,
( doDivides0(sz10,sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27906,c_96]) ).
tcf(c_27919,plain,
( sdtlseqdt0(sz10,sK3(sK4))
| ( sz00 = sK4 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27905,c_96]) ).
tcf(c_27924,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(sz10,X0) != sK3(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27910,c_97,c_96]) ).
tcf(c_27930,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(X0,sK3(sK4)) != sK3(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27912,c_96]) ).
tcf(c_27937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK4)),sK3(sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27913,c_96]) ).
tcf(c_27945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK3(sK4))
| ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27911,c_97,c_96]) ).
tcf(c_27952,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(sK4),sdtasdt0(X0,sK3(sK4)))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27909,c_96]) ).
tcf(c_27960,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(sK4),sdtasdt0(sz10,X0))
| ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sK3(sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27908,c_97,c_96]) ).
tcf(c_27977,plain,
( doDivides0(sdtpldt0(sz10,xk),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_25779,c_275]) ).
tcf(c_27979,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xk),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_25779,c_80]) ).
tcf(c_27981,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ( sdtasdt0(sdtpldt0(sz10,xk),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_25779,c_86]) ).
tcf(c_27982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xk),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_25779,c_80]) ).
tcf(c_27986,plain,
doDivides0(sdtpldt0(sz10,xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_27977,c_92,c_25715]) ).
tcf(c_27987,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xk),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27981,c_25717,c_92,c_25715]) ).
tcf(c_27991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xk),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27982,c_25717,c_92,c_25715]) ).
tcf(c_27996,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27979,c_25717,c_92,c_25715]) ).
tcf(c_28002,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ doDivides0(X0,sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_27986,c_110]) ).
tcf(c_28003,plain,
( ( sdtasdt0(sdtpldt0(sz10,xk),sK8(sdtpldt0(sz10,xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_27986,c_101]) ).
tcf(c_28008,plain,
sdtasdt0(sdtpldt0(sz10,xk),sK8(sdtpldt0(sz10,xk),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28003,c_92,c_25715]) ).
tcf(c_28009,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28002,c_92,c_25715]) ).
tcf(c_28017,plain,
( sdtlseqdt0(sz10,sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24788,c_78]) ).
tcf(c_28018,plain,
( doDivides0(sz10,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24788,c_275]) ).
tcf(c_28020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sdtpldt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ sdtlseqdt0(sdtpldt0(xk,sK4),X0) ),
inference(superposition,[status(thm)],[c_24788,c_80]) ).
tcf(c_28021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtasdt0(X0,sdtpldt0(xk,sK4)))
| ( X0 = sz10 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24788,c_82]) ).
tcf(c_28022,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sdtpldt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_24788,c_86]) ).
tcf(c_28023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xk,sK4))
| ( sz10 = sz00 )
| ( sdtpldt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24788,c_80]) ).
tcf(c_28024,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ( sdtasdt0(X0,sdtpldt0(xk,sK4)) != sdtpldt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_24788,c_87]) ).
tcf(c_28025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xk,sK4)),sdtpldt0(xk,sK4))
| ( X0 = sz10 )
| ( sdtpldt0(xk,sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_24788,c_82]) ).
tcf(c_28027,plain,
doDivides0(sz10,sdtpldt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_28018,c_96,c_24714]) ).
tcf(c_28028,plain,
sdtlseqdt0(sz10,sdtpldt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_28017,c_24719,c_96,c_24714]) ).
tcf(c_28029,plain,
! [X0: $i] :
( ( sdtpldt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28022,c_97,c_96,c_24714]) ).
tcf(c_28033,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xk,sK4)) != sdtpldt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28024,c_24719,c_96,c_24714]) ).
tcf(c_28037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xk,sK4)),sdtpldt0(xk,sK4))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28025,c_24719,c_96,c_24714]) ).
tcf(c_28042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28023,c_97,c_96,c_24714]) ).
tcf(c_28047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtasdt0(X0,sdtpldt0(xk,sK4)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28021,c_24719,c_96,c_24714]) ).
tcf(c_28052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtasdt0(sz10,X0))
| ( sdtpldt0(xk,sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xk,sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28020,c_97,c_96,c_24714]) ).
tcf(c_28086,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_28027,c_110]) ).
tcf(c_28087,plain,
( ( sdtasdt0(sz10,sK8(sz10,sdtpldt0(xk,sK4))) = sdtpldt0(xk,sK4) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_28027,c_101]) ).
tcf(c_28091,plain,
sdtasdt0(sz10,sK8(sz10,sdtpldt0(xk,sK4))) = sdtpldt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_28087,c_96,c_24714]) ).
tcf(c_28092,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28086,c_96,c_24714]) ).
tcf(c_28116,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_28028,c_124]) ).
tcf(c_28117,plain,
( ( sdtpldt0(sz10,sK10(sz10,sdtpldt0(xk,sK4))) = sdtpldt0(xk,sK4) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_28028,c_129]) ).
tcf(c_28118,plain,
( ( sdtpldt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ sdtlseqdt0(sdtpldt0(xk,sK4),sz10) ),
inference(superposition,[status(thm)],[c_28028,c_125]) ).
tcf(c_28119,plain,
( iLess0(sz10,sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_28028,c_98]) ).
tcf(c_28120,plain,
( iLess0(sz10,sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28119,c_96,c_24714]) ).
tcf(c_28123,plain,
( ( sdtpldt0(xk,sK4) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xk,sK4),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28118,c_96,c_24714]) ).
tcf(c_28126,plain,
sdtpldt0(sz10,sK10(sz10,sdtpldt0(xk,sK4))) = sdtpldt0(xk,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_28117,c_96,c_24714]) ).
tcf(c_28127,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28116,c_96,c_24714]) ).
tcf(c_28491,plain,
( sdtlseqdt0(sK3(sK4),sK3(sK4))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7362,c_78]) ).
tcf(c_28492,plain,
( doDivides0(sK3(sK4),sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7362,c_275]) ).
tcf(c_28493,plain,
( sP1(sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK3(sK4))
| ( sK3(sK4) != xk ) ),
inference(superposition,[status(thm)],[c_7362,c_76]) ).
tcf(c_28494,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(sK4),sdtasdt0(sK3(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_7362,c_80]) ).
tcf(c_28495,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(sK4),sdtasdt0(X0,sz10))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sK3(sK4),X0) ),
inference(superposition,[status(thm)],[c_7362,c_82]) ).
tcf(c_28496,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(sK3(sK4),X0) != sK3(sK4) ) ),
inference(superposition,[status(thm)],[c_7362,c_86]) ).
tcf(c_28497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK3(sK4),X0),sK3(sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_7362,c_80]) ).
tcf(c_28498,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(X0,sz10) != sK3(sK4) ) ),
inference(superposition,[status(thm)],[c_7362,c_87]) ).
tcf(c_28499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK3(sK4))
| ( sz00 = sK4 )
| ( sz10 = sz00 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7362,c_82]) ).
tcf(c_28501,plain,
( doDivides0(sK3(sK4),sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28492,c_96]) ).
tcf(c_28505,plain,
( sP1(sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK3(sK4))
| ( sK3(sK4) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28493,c_96]) ).
tcf(c_28510,plain,
( sdtlseqdt0(sK3(sK4),sK3(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28491,c_97,c_96]) ).
tcf(c_28520,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(X0,sz10) != sK3(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28498,c_97,c_96]) ).
tcf(c_28526,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ( sdtasdt0(sK3(sK4),X0) != sK3(sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28496,c_96]) ).
tcf(c_28533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK3(sK4))
| ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28499,c_97,c_96]) ).
tcf(c_28540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK3(sK4),X0),sK3(sK4))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28497,c_96]) ).
tcf(c_28548,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(sK4),sdtasdt0(X0,sz10))
| ( sz00 = sK4 )
| ( sK3(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sK3(sK4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28495,c_97,c_96]) ).
tcf(c_28555,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(sK4),sdtasdt0(sK3(sK4),X0))
| ( sz00 = sK4 )
| ( X0 = sz10 )
| ( sK3(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28494,c_96]) ).
fof(f110,definition,
! [X1] :
( ~ sP0(X1)
| ! [X3] :
( ( ~ doDivides0(X3,X1)
& ! [X4] :
( sdtasdt0(X3,X4) != X1
| ~ aNaturalNumber0(X4) ) )
| ~ aNaturalNumber0(X3)
| X1 = X3
| sz10 = X3 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f111,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ? [X1] :
( isPrime0(X1)
& sP0(X1)
& X1 != sz10
& X1 != sz00
& doDivides0(X1,X0)
& ? [X2] :
( X0 = sdtasdt0(X1,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1) ) ),
inference(definition_folding,[],[f49,f110]) ).
fof(f112,definition,
! [X0] :
( ~ sP1(X0)
| ( ~ isPrime0(X0)
& ( ? [X2] :
( doDivides0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aNaturalNumber0(X3) )
& aNaturalNumber0(X2)
& X0 != X2
& sz10 != X2 )
| sz10 = X0
| sz00 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f113,plain,
! [X0] :
( sP1(X0)
| ( ~ doDivides0(X0,xk)
& ! [X1] :
( sdtasdt0(X0,X1) != xk
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f53,f112]) ).
fof(f114,plain,
! [X1] :
( ~ sP0(X1)
| ! [X3] :
( ( ~ doDivides0(X3,X1)
& ! [X4] :
( sdtasdt0(X3,X4) != X1
| ~ aNaturalNumber0(X4) ) )
| ~ aNaturalNumber0(X3)
| X1 = X3
| sz10 = X3 ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f115,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ( ~ doDivides0(X1,X0)
& ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| X0 = X1
| sz10 = X1 ) ),
inference(rectify,[],[f114]) ).
fof(f118,plain,
! [X0] :
( ~ sP1(X0)
| ( ~ isPrime0(X0)
& ( ? [X2] :
( doDivides0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aNaturalNumber0(X3) )
& aNaturalNumber0(X2)
& X0 != X2
& sz10 != X2 )
| sz10 = X0
| sz00 = X0 ) ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f119,plain,
! [X0] :
( ~ sP1(X0)
| ( ~ isPrime0(X0)
& ( ? [X1] :
( doDivides0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0 ) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ sP1(X0)
| ( ~ isPrime0(X0)
& ( ( doDivides0(sK6(X0),X0)
& sdtasdt0(sK6(X0),sK7(X0)) = X0
& aNaturalNumber0(sK7(X0))
& aNaturalNumber0(sK6(X0))
& sK6(X0) != X0
& sz10 != sK6(X0) )
| sz10 = X0
| sz00 = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0))],[f119]) ).
fof(f132,plain,
! [X0,X1] :
( ~ sP0(X0)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X0 = X1
| sz10 = X1 ),
inference(cnf_transformation,[],[f115]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X0 = X1
| sz10 = X1 ),
inference(cnf_transformation,[],[f115]) ).
fof(f151,plain,
! [X0] :
( ~ sP1(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f152,plain,
! [X0] :
( ~ sP1(X0)
| doDivides0(sK6(X0),X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f153,plain,
! [X0] :
( ~ sP1(X0)
| sdtasdt0(sK6(X0),sK7(X0)) = X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f154,plain,
! [X0] :
( ~ sP1(X0)
| aNaturalNumber0(sK7(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f155,plain,
! [X0] :
( ~ sP1(X0)
| aNaturalNumber0(sK6(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f156,plain,
! [X0] :
( ~ sP1(X0)
| sK6(X0) != X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f157,plain,
! [X0] :
( ~ sP1(X0)
| sz10 != sK6(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f218,plain,
! [X2,X1] :
( ~ sP0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X2) = X1
| sz10 = X1 ),
inference(equality_resolution,[],[f133]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(X0,X1) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sP0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = X1 )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_69,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ sP1(X0)
| ( sK6(X0) != sz10 ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_70,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ~ sP1(X0)
| ( sK6(X0) != X0 ) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_71,plain,
! [X0: $i] :
( aNaturalNumber0(sK6(X0))
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_72,plain,
! [X0: $i] :
( aNaturalNumber0(sK7(X0))
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_73,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),sK7(X0)) = X0 )
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_74,plain,
! [X0: $i] :
( doDivides0(sK6(X0),X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_75,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_5902,plain,
~ isPrime0(sK4),
inference(superposition,[status(thm)],[c_5889,c_75]) ).
tcf(c_6116,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sz10,sK6(X0)) = sK6(X0) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_95]) ).
tcf(c_6117,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),sz10) = sK6(X0) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_94]) ).
tcf(c_6118,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sz00,sK6(X0)) = sK6(X0) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_91]) ).
tcf(c_6119,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sK6(X0),sz00) = sK6(X0) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_90]) ).
tcf(c_6120,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sz00,sK6(X0)) = sz00 )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_89]) ).
tcf(c_6121,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),sz00) = sz00 )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_88]) ).
tcf(c_6154,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sz10,sK7(X0)) = sK7(X0) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_95]) ).
tcf(c_6155,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK7(X0),sz10) = sK7(X0) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
tcf(c_6156,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sz00,sK7(X0)) = sK7(X0) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_91]) ).
tcf(c_6157,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sK7(X0),sz00) = sK7(X0) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_90]) ).
tcf(c_6158,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sz00,sK7(X0)) = sz00 )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_89]) ).
tcf(c_6159,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK7(X0),sz00) = sz00 )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_88]) ).
tcf(c_6278,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X1 = sz10 )
| ( sdtasdt0(sK6(X1),X0) = sdtasdt0(X0,sK6(X1)) )
| ~ sP1(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71,c_105]) ).
tcf(c_6279,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X1 = sz10 )
| ( sdtasdt0(sK7(X1),X0) = sdtasdt0(X0,sK7(X1)) )
| ~ sP1(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_72,c_105]) ).
tcf(c_6328,plain,
( ( xk = sz00 )
| ( xk = sz10 )
| ~ sP1(xk)
| ( sK6(xk) != sz10 ) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_6330,plain,
( aNaturalNumber0(sK6(xk))
| ( xk = sz00 )
| ( xk = sz10 )
| ~ sP1(xk) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_6396,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X1 = sz10 )
| ( sdtpldt0(sK6(X1),X0) = sdtpldt0(X0,sK6(X1)) )
| ~ sP1(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71,c_133]) ).
tcf(c_6397,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X1 = sz10 )
| ( sdtpldt0(sK7(X1),X0) = sdtpldt0(X0,sK7(X1)) )
| ~ sP1(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_72,c_133]) ).
tcf(c_6476,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),xk) = sdtasdt0(xk,sK6(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_6275]) ).
tcf(c_6477,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK7(X0),xk) = sdtasdt0(xk,sK7(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_6275]) ).
tcf(c_6514,plain,
( ( xk = sz00 )
| ( xk = sz10 )
| ~ sP1(xk)
| ( sK6(xk) != xk ) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_6516,plain,
( doDivides0(sK6(xk),xk)
| ( xk = sz00 )
| ( xk = sz10 )
| ~ sP1(xk) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_6576,plain,
( sP1(sK6(xk))
| ( xk = sz00 )
| ( xk = sz10 )
| ~ sP1(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_74,c_77]) ).
tcf(c_6577,plain,
( sP1(sK6(xk))
| ~ aNaturalNumber0(sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6576,c_60,c_61,c_6096]) ).
tcf(c_6735,plain,
sP1(sK6(xk)),
inference(global_subsumption_just,[status(thm)],[c_6577,c_61,c_60,c_6096,c_6330,c_6577]) ).
tcf(c_6737,plain,
~ isPrime0(sK6(xk)),
inference(superposition,[status(thm)],[c_6735,c_75]) ).
tcf(c_6981,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(X0),X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ~ sP1(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(X0)) ),
inference(superposition,[status(thm)],[c_74,c_107]) ).
tcf(c_7042,plain,
( ( sz10 = sK4 )
| ( xk = sK4 )
| ~ sP0(xk)
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_67,c_51]) ).
tcf(c_7043,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sK6(X0) = sz10 )
| ( sK6(X0) = X0 )
| ~ sP1(X0)
| ~ sP0(X0)
| ~ aNaturalNumber0(sK6(X0)) ),
inference(superposition,[status(thm)],[c_74,c_51]) ).
tcf(c_7045,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 )
| ( sK9(X0) = sz10 )
| ( sK9(X0) = X0 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(X0)) ),
inference(superposition,[status(thm)],[c_114,c_51]) ).
tcf(c_7047,plain,
( ( xk = sz00 )
| ( xk = sz10 )
| ~ sP0(sz00)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_5918,c_51]) ).
tcf(c_7048,plain,
( ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ sP0(sz00)
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_5921,c_51]) ).
tcf(c_7049,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ sP0(sz00)
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_5960,c_51]) ).
tcf(c_7058,plain,
( ( sz10 = sK4 )
| ( sdtasdt0(xk,sK4) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ sP0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6522,c_51]) ).
tcf(c_7059,plain,
( ( sz10 = sK5 )
| ( sdtasdt0(xk,sK5) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ sP0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6554,c_51]) ).
tcf(c_7069,plain,
~ sP0(sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7047,c_60,c_61,c_49]) ).
tcf(c_7070,plain,
~ sP0(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_7042,c_62,c_63,c_64]) ).
tcf(c_7071,plain,
( ( sz10 = sK5 )
| ( sdtasdt0(xk,sK5) = sK5 )
| ~ sP0(sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7059,c_65]) ).
tcf(c_7075,plain,
( ( sdtasdt0(xk,sK4) = sK4 )
| ~ sP0(sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7058,c_62,c_64]) ).
tcf(c_7132,plain,
~ isPrime0(sK9(xk)),
inference(superposition,[status(thm)],[c_7130,c_75]) ).
tcf(c_7260,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),sK8(sK6(X0),X0)) = X0 )
| ~ sP1(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(X0)) ),
inference(superposition,[status(thm)],[c_74,c_101]) ).
tcf(c_7730,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sK2(X0) = sz10 )
| ( sK2(X0) = X0 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_55,c_51]) ).
tcf(c_7765,plain,
( ( sz00 = sK4 )
| ( sz10 = sK4 )
| ( sdtasdt0(sK6(sK4),sK7(sK4)) = sK4 ) ),
inference(superposition,[status(thm)],[c_5889,c_73]) ).
tcf(c_7766,plain,
( ( xk = sz00 )
| ( xk = sz10 )
| ( sdtasdt0(sK6(xk),sK7(xk)) = xk ) ),
inference(superposition,[status(thm)],[c_6096,c_73]) ).
tcf(c_7768,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(xk) ) ),
inference(superposition,[status(thm)],[c_6735,c_73]) ).
tcf(c_7769,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK9(xk) ) ),
inference(superposition,[status(thm)],[c_7130,c_73]) ).
tcf(c_7770,plain,
sdtasdt0(sK6(xk),sK7(xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_7766,c_60,c_61]) ).
tcf(c_7771,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK6(sK4),sK7(sK4)) = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7765,c_62]) ).
tcf(c_7804,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(xk) ) ),
inference(global_subsumption_just,[status(thm)],[c_7768,c_61,c_60,c_6096,c_6328,c_7768]) ).
tcf(c_7810,plain,
( sdtlseqdt0(sK6(sK6(xk)),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7804,c_78]) ).
tcf(c_7811,plain,
( doDivides0(sK6(sK6(xk)),sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7804,c_275]) ).
tcf(c_7812,plain,
( sP1(sK6(sK6(xk)))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ( sK6(xk) != xk ) ),
inference(superposition,[status(thm)],[c_7804,c_76]) ).
tcf(c_7813,plain,
( aNaturalNumber0(sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7804,c_106]) ).
tcf(c_7852,plain,
sK6(xk) != xk,
inference(global_subsumption_just,[status(thm)],[c_7812,c_61,c_60,c_6096,c_6514]) ).
tcf(c_7854,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK9(xk) ) ),
inference(global_subsumption_just,[status(thm)],[c_7769,c_49,c_61,c_60,c_2189,c_7769]) ).
tcf(c_7860,plain,
( sdtlseqdt0(sK6(sK9(xk)),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7854,c_78]) ).
tcf(c_7861,plain,
( doDivides0(sK6(sK9(xk)),sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7854,c_275]) ).
tcf(c_7862,plain,
( sP1(sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ( sK9(xk) != xk ) ),
inference(superposition,[status(thm)],[c_7854,c_76]) ).
tcf(c_7863,plain,
( aNaturalNumber0(sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7854,c_106]) ).
tcf(c_7882,plain,
sK9(xk) != xk,
inference(global_subsumption_just,[status(thm)],[c_7862,c_49,c_61,c_60,c_2182]) ).
tcf(c_7884,plain,
( sdtlseqdt0(sK6(xk),xk)
| ( sK7(xk) = sz00 )
| ~ aNaturalNumber0(sK7(xk))
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7770,c_78]) ).
tcf(c_7885,plain,
( doDivides0(sK6(xk),xk)
| ~ aNaturalNumber0(sK7(xk))
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7770,c_275]) ).
tcf(c_7899,plain,
( sdtlseqdt0(sK6(sK4),sK4)
| ( sz00 = sK4 )
| ( sK7(sK4) = sz00 )
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_7771,c_78]) ).
tcf(c_7900,plain,
( doDivides0(sK6(sK4),sK4)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_7771,c_275]) ).
tcf(c_7912,plain,
aNaturalNumber0(sK6(xk)),
inference(global_subsumption_just,[status(thm)],[c_7813,c_61,c_60,c_6096,c_6330]) ).
tcf(c_7914,plain,
sdtasdt0(sK6(xk),xk) = sdtasdt0(xk,sK6(xk)),
inference(superposition,[status(thm)],[c_7912,c_6275]) ).
tcf(c_7915,plain,
! [X0: $i] :
( ( sdtpldt0(sK6(xk),X0) = sdtpldt0(X0,sK6(xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7912,c_133]) ).
tcf(c_7916,plain,
! [X0: $i] :
( ( sdtasdt0(sK6(xk),X0) = sdtasdt0(X0,sK6(xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7912,c_105]) ).
tcf(c_7917,plain,
sdtasdt0(sz10,sK6(xk)) = sK6(xk),
inference(superposition,[status(thm)],[c_7912,c_95]) ).
tcf(c_7918,plain,
sdtasdt0(sK6(xk),sz10) = sK6(xk),
inference(superposition,[status(thm)],[c_7912,c_94]) ).
tcf(c_7919,plain,
sdtpldt0(sz00,sK6(xk)) = sK6(xk),
inference(superposition,[status(thm)],[c_7912,c_91]) ).
tcf(c_7920,plain,
sdtpldt0(sK6(xk),sz00) = sK6(xk),
inference(superposition,[status(thm)],[c_7912,c_90]) ).
tcf(c_7921,plain,
sdtasdt0(sz00,sK6(xk)) = sz00,
inference(superposition,[status(thm)],[c_7912,c_89]) ).
tcf(c_7922,plain,
sdtasdt0(sK6(xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_7912,c_88]) ).
tcf(c_7995,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,X1)
| ( X1 = sz00 )
| ( X1 = sz10 )
| ~ sP1(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(X1))
| ~ doDivides0(X0,sK6(X1)) ),
inference(superposition,[status(thm)],[c_74,c_110]) ).
tcf(c_8342,plain,
( doDivides0(sK6(xk),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7922,c_275]) ).
tcf(c_8345,plain,
doDivides0(sK6(xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_8342,c_92,c_7912]) ).
tcf(c_8346,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_8345,c_110]) ).
tcf(c_8347,plain,
( ( sdtasdt0(sK6(xk),sK8(sK6(xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_8345,c_101]) ).
tcf(c_8350,plain,
sdtasdt0(sK6(xk),sK8(sK6(xk),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_8347,c_92,c_7912]) ).
tcf(c_8351,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8346,c_92,c_7912]) ).
tcf(c_8359,plain,
aNaturalNumber0(sK9(xk)),
inference(global_subsumption_just,[status(thm)],[c_7863,c_49,c_61,c_60,c_2175]) ).
tcf(c_8361,plain,
sdtasdt0(sK9(xk),xk) = sdtasdt0(xk,sK9(xk)),
inference(superposition,[status(thm)],[c_8359,c_6275]) ).
tcf(c_8362,plain,
! [X0: $i] :
( ( sdtpldt0(sK9(xk),X0) = sdtpldt0(X0,sK9(xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8359,c_133]) ).
tcf(c_8363,plain,
! [X0: $i] :
( ( sdtasdt0(sK9(xk),X0) = sdtasdt0(X0,sK9(xk)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8359,c_105]) ).
tcf(c_8364,plain,
sdtasdt0(sz10,sK9(xk)) = sK9(xk),
inference(superposition,[status(thm)],[c_8359,c_95]) ).
tcf(c_8365,plain,
sdtasdt0(sK9(xk),sz10) = sK9(xk),
inference(superposition,[status(thm)],[c_8359,c_94]) ).
tcf(c_8366,plain,
sdtpldt0(sz00,sK9(xk)) = sK9(xk),
inference(superposition,[status(thm)],[c_8359,c_91]) ).
tcf(c_8367,plain,
sdtpldt0(sK9(xk),sz00) = sK9(xk),
inference(superposition,[status(thm)],[c_8359,c_90]) ).
tcf(c_8368,plain,
sdtasdt0(sz00,sK9(xk)) = sz00,
inference(superposition,[status(thm)],[c_8359,c_89]) ).
tcf(c_8369,plain,
sdtasdt0(sK9(xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_8359,c_88]) ).
tcf(c_8428,plain,
! [X0: $i] :
( doDivides0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ doDivides0(X0,sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7811,c_110]) ).
tcf(c_8429,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),sK8(sK6(sK6(xk)),sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7811,c_101]) ).
tcf(c_8430,plain,
( ( sK6(xk) = sz00 )
| ( sK6(sK6(xk)) = sz10 )
| ( sK6(sK6(xk)) = sK6(xk) )
| ~ sP0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7811,c_51]) ).
tcf(c_8431,plain,
( sdtlseqdt0(sK6(sK6(xk)),sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7811,c_107]) ).
tcf(c_8432,plain,
( sdtlseqdt0(sK6(sK6(xk)),sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8431,c_7912]) ).
tcf(c_8443,plain,
! [X0: $i] :
( doDivides0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ doDivides0(X0,sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8428,c_7912]) ).
tcf(c_8450,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),sK8(sK6(sK6(xk)),sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8429,c_7912]) ).
tcf(c_8467,plain,
! [X0: $i] :
( doDivides0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ doDivides0(X0,sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7861,c_110]) ).
tcf(c_8468,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),sK8(sK6(sK9(xk)),sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7861,c_101]) ).
tcf(c_8469,plain,
( ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK6(sK9(xk)) = sK9(xk) )
| ~ sP0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7861,c_51]) ).
tcf(c_8470,plain,
( sdtlseqdt0(sK6(sK9(xk)),sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7861,c_107]) ).
tcf(c_8471,plain,
( sdtlseqdt0(sK6(sK9(xk)),sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8470,c_8359]) ).
tcf(c_8482,plain,
! [X0: $i] :
( doDivides0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ doDivides0(X0,sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8467,c_8359]) ).
tcf(c_8489,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),sK8(sK6(sK9(xk)),sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8468,c_8359]) ).
tcf(c_8507,plain,
( doDivides0(sK9(xk),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8369,c_275]) ).
tcf(c_8510,plain,
doDivides0(sK9(xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_8507,c_92,c_8359]) ).
tcf(c_8550,plain,
( ( sz10 = sK4 )
| ( sdtasdt0(sK4,xk) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ sP0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6474,c_50]) ).
tcf(c_8551,plain,
( ( sz10 = sK5 )
| ( sdtasdt0(sK5,xk) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ sP0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_6475,c_50]) ).
tcf(c_8552,plain,
( ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(sdtasdt0(xk,sK4),xk) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6523,c_50]) ).
tcf(c_8558,plain,
( ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(sdtasdt0(xk,sK5),xk) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_6713,c_50]) ).
tcf(c_8567,plain,
( ( sz00 = sK4 )
| ( sK6(sK4) = sz10 )
| ( sdtasdt0(sK6(sK4),sK7(sK4)) = sK6(sK4) )
| ~ sP0(sK4)
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_7771,c_50]) ).
tcf(c_8568,plain,
( ( sK6(xk) = sz00 )
| ( sK6(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ~ sP0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7804,c_50]) ).
tcf(c_8569,plain,
( ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ~ sP0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7854,c_50]) ).
tcf(c_8574,plain,
( ( sz10 = sK5 )
| ( sdtasdt0(xk,sK5) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ sP0(sdtasdt0(xk,sK5)) ),
inference(light_normalisation,[status(thm)],[c_8551,c_6475]) ).
tcf(c_8576,plain,
( ( sz10 = sK4 )
| ( sdtasdt0(xk,sK4) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(xk)
| ~ sP0(sdtasdt0(xk,sK4)) ),
inference(light_normalisation,[status(thm)],[c_8550,c_6474]) ).
tcf(c_8584,plain,
( ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(light_normalisation,[status(thm)],[c_8558,c_6713]) ).
tcf(c_8585,plain,
( ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8584,c_49,c_6553]) ).
tcf(c_8589,plain,
( ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(light_normalisation,[status(thm)],[c_8552,c_6523]) ).
tcf(c_8590,plain,
( ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8589,c_49,c_6521]) ).
tcf(c_8732,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_8510,c_110]) ).
tcf(c_8733,plain,
( ( sdtasdt0(sK9(xk),sK8(sK9(xk),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8510,c_101]) ).
tcf(c_8736,plain,
sdtasdt0(sK9(xk),sK8(sK9(xk),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_8733,c_92,c_8359]) ).
tcf(c_8737,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8732,c_92,c_8359]) ).
tcf(c_8798,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ( sK6(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ~ sP1(sK6(xk))
| ~ sP0(sK6(xk))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_72,c_8568]) ).
tcf(c_8799,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ( sK6(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ~ sP0(sK6(xk))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8798,c_6735]) ).
tcf(c_8806,plain,
( ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sP0(sK6(xk))
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ( sK6(sK6(xk)) = sz10 ) ),
inference(global_subsumption_just,[status(thm)],[c_8799,c_61,c_60,c_6096,c_6328,c_8799]) ).
tcf(c_8807,plain,
( ( sK6(xk) = sz00 )
| ( sK6(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ~ sP0(sK6(xk))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(renaming,[status(thm)],[c_8806]) ).
tcf(c_8818,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ( sK6(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ~ sP1(sK6(xk))
| ~ sP0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_71,c_8807]) ).
tcf(c_8819,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ( sK6(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ~ sP0(sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8818,c_6735]) ).
tcf(c_8825,plain,
( ( sK6(xk) = sz00 )
| ~ sP0(sK6(xk))
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ( sK6(sK6(xk)) = sz10 ) ),
inference(global_subsumption_just,[status(thm)],[c_8819,c_61,c_60,c_6096,c_6328,c_8819]) ).
tcf(c_8826,plain,
( ( sK6(xk) = sz00 )
| ( sK6(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(sK6(xk)) )
| ~ sP0(sK6(xk)) ),
inference(renaming,[status(thm)],[c_8825]) ).
tcf(c_8847,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ( sK6(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ~ sP1(sK9(xk))
| ~ sP0(sK9(xk))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_72,c_8569]) ).
tcf(c_8848,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ( sK6(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ~ sP0(sK9(xk))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8847,c_7130]) ).
tcf(c_8855,plain,
( ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sP0(sK9(xk))
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ( sK6(sK9(xk)) = sz10 ) ),
inference(global_subsumption_just,[status(thm)],[c_8848,c_49,c_61,c_60,c_2189,c_8848]) ).
tcf(c_8856,plain,
( ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ~ sP0(sK9(xk))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(renaming,[status(thm)],[c_8855]) ).
tcf(c_8867,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ( sK6(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ~ sP1(sK9(xk))
| ~ sP0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_71,c_8856]) ).
tcf(c_8868,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ( sK6(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ~ sP0(sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8867,c_7130]) ).
tcf(c_8874,plain,
( ( sK9(xk) = sz00 )
| ~ sP0(sK9(xk))
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ( sK6(sK9(xk)) = sz10 ) ),
inference(global_subsumption_just,[status(thm)],[c_8868,c_49,c_61,c_60,c_2189,c_8868]) ).
tcf(c_8875,plain,
( ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK9(xk)),sK7(sK9(xk))) = sK6(sK9(xk)) )
| ~ sP0(sK9(xk)) ),
inference(renaming,[status(thm)],[c_8874]) ).
tcf(c_8886,plain,
( sdtlseqdt0(sz10,sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7917,c_78]) ).
tcf(c_8887,plain,
( doDivides0(sz10,sK6(xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7917,c_275]) ).
tcf(c_8890,plain,
doDivides0(sz10,sK6(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_8887,c_96,c_7912]) ).
tcf(c_8891,plain,
( sdtlseqdt0(sz10,sK6(xk))
| ( sK6(xk) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8886,c_96,c_7912]) ).
tcf(c_8894,plain,
! [X0: $i] :
( doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_8890,c_110]) ).
tcf(c_8895,plain,
( ( sdtasdt0(sz10,sK8(sz10,sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_8890,c_101]) ).
tcf(c_8898,plain,
sdtasdt0(sz10,sK8(sz10,sK6(xk))) = sK6(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_8895,c_96,c_7912]) ).
tcf(c_8899,plain,
! [X0: $i] :
( doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8894,c_96,c_7912]) ).
tcf(c_8936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X2 = sz10 )
| ( sdtasdt0(sdtasdt0(X1,sK6(X2)),X0) = sdtasdt0(X1,sdtasdt0(sK6(X2),X0)) )
| ~ sP1(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71,c_104]) ).
tcf(c_8937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X2 = sz10 )
| ( sdtasdt0(sdtasdt0(X1,sK7(X2)),X0) = sdtasdt0(X1,sdtasdt0(sK7(X2),X0)) )
| ~ sP1(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_72,c_104]) ).
tcf(c_8945,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sK9(xk)),X0) = sdtasdt0(X1,sdtasdt0(sK9(xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8359,c_104]) ).
tcf(c_8946,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sK6(xk)),X0) = sdtasdt0(X1,sdtasdt0(sK6(xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7912,c_104]) ).
tcf(c_9222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X2 = sz10 )
| ( sdtpldt0(sdtpldt0(X1,sK6(X2)),X0) = sdtpldt0(X1,sdtpldt0(sK6(X2),X0)) )
| ~ sP1(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71,c_132]) ).
tcf(c_9223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X2 = sz10 )
| ( sdtpldt0(sdtpldt0(X1,sK7(X2)),X0) = sdtpldt0(X1,sdtpldt0(sK7(X2),X0)) )
| ~ sP1(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_72,c_132]) ).
tcf(c_9231,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sK9(xk)),X0) = sdtpldt0(X1,sdtpldt0(sK9(xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8359,c_132]) ).
tcf(c_9232,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sK6(xk)),X0) = sdtpldt0(X1,sdtpldt0(sK6(xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7912,c_132]) ).
tcf(c_9370,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK6(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(X0,X1) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sP1(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK6(sdtpldt0(X0,X1)))
| ~ doDivides0(sK6(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_74,c_108]) ).
tcf(c_9498,plain,
( sdtlseqdt0(sK6(xk),sK6(xk))
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7918,c_78]) ).
tcf(c_9499,plain,
( doDivides0(sK6(xk),sK6(xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7918,c_275]) ).
tcf(c_9502,plain,
doDivides0(sK6(xk),sK6(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_9499,c_96,c_7912]) ).
tcf(c_9503,plain,
sdtlseqdt0(sK6(xk),sK6(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_9498,c_97,c_96,c_7912]) ).
tcf(c_9506,plain,
( ( sdtasdt0(sK6(xk),sK8(sK6(xk),sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_9502,c_101]) ).
tcf(c_9509,plain,
sdtasdt0(sK6(xk),sK8(sK6(xk),sK6(xk))) = sK6(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_9506,c_7912]) ).
tcf(c_9511,plain,
( ( sdtpldt0(sK6(xk),sK10(sK6(xk),sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_9503,c_129]) ).
tcf(c_9514,plain,
sdtpldt0(sK6(xk),sK10(sK6(xk),sK6(xk))) = sK6(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_9511,c_7912]) ).
tcf(c_9517,plain,
( sdtlseqdt0(sz00,sK6(xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7919,c_283]) ).
tcf(c_9520,plain,
sdtlseqdt0(sz00,sK6(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_9517,c_92,c_7912]) ).
tcf(c_9521,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_9520,c_124]) ).
tcf(c_9522,plain,
( ( sdtpldt0(sz00,sK10(sz00,sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_9520,c_129]) ).
tcf(c_9523,plain,
( ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),sz00) ),
inference(superposition,[status(thm)],[c_9520,c_125]) ).
tcf(c_9524,plain,
( iLess0(sz00,sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_9520,c_98]) ).
tcf(c_9525,plain,
( iLess0(sz00,sK6(xk))
| ( sK6(xk) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9524,c_92,c_7912]) ).
tcf(c_9528,plain,
( ( sK6(xk) = sz00 )
| ~ sdtlseqdt0(sK6(xk),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9523,c_92,c_7912]) ).
tcf(c_9531,plain,
sdtpldt0(sz00,sK10(sz00,sK6(xk))) = sK6(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_9522,c_92,c_7912]) ).
tcf(c_9532,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9521,c_92,c_7912]) ).
tcf(c_9581,plain,
( sdtlseqdt0(sz10,sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8364,c_78]) ).
tcf(c_9582,plain,
( doDivides0(sz10,sK9(xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8364,c_275]) ).
tcf(c_9585,plain,
doDivides0(sz10,sK9(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_9582,c_96,c_8359]) ).
tcf(c_9586,plain,
( sdtlseqdt0(sz10,sK9(xk))
| ( sK9(xk) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9581,c_96,c_8359]) ).
tcf(c_9624,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)
| ~ sP0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_109,c_51]) ).
tcf(c_9755,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtpldt0(sz00,X0) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7919,c_130]) ).
tcf(c_9756,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtpldt0(sK6(xk),X0) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7920,c_130]) ).
tcf(c_9794,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK6(xk),X0) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9756,c_92,c_7912]) ).
tcf(c_9798,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9755,c_92,c_7912]) ).
tcf(c_9857,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtpldt0(X0,sK6(xk)) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7919,c_131]) ).
tcf(c_9858,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtpldt0(X0,sz00) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7920,c_131]) ).
tcf(c_9896,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9858,c_92,c_7912]) ).
tcf(c_9900,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK6(xk)) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9857,c_92,c_7912]) ).
tcf(c_9933,plain,
! [X0: $i] :
( doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_9585,c_110]) ).
tcf(c_9934,plain,
( ( sdtasdt0(sz10,sK8(sz10,sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_9585,c_101]) ).
tcf(c_9937,plain,
sdtasdt0(sz10,sK8(sz10,sK9(xk))) = sK9(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_9934,c_96,c_8359]) ).
tcf(c_9938,plain,
! [X0: $i] :
( doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9933,c_96,c_8359]) ).
tcf(c_10004,plain,
( sdtlseqdt0(sK9(xk),sK9(xk))
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8365,c_78]) ).
tcf(c_10005,plain,
( doDivides0(sK9(xk),sK9(xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8365,c_275]) ).
tcf(c_10008,plain,
doDivides0(sK9(xk),sK9(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_10005,c_96,c_8359]) ).
tcf(c_10009,plain,
sdtlseqdt0(sK9(xk),sK9(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_10004,c_97,c_96,c_8359]) ).
tcf(c_10019,plain,
( ( sdtasdt0(sK9(xk),sK8(sK9(xk),sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_10008,c_101]) ).
tcf(c_10022,plain,
sdtasdt0(sK9(xk),sK8(sK9(xk),sK9(xk))) = sK9(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_10019,c_8359]) ).
tcf(c_10024,plain,
( ( sdtpldt0(sK9(xk),sK10(sK9(xk),sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_10009,c_129]) ).
tcf(c_10027,plain,
sdtpldt0(sK9(xk),sK10(sK9(xk),sK9(xk))) = sK9(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_10024,c_8359]) ).
tcf(c_10032,plain,
( sdtlseqdt0(sz00,sK9(xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8366,c_283]) ).
tcf(c_10036,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtpldt0(sz00,X0) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_8366,c_130]) ).
tcf(c_10037,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtpldt0(X0,sK9(xk)) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_8366,c_131]) ).
tcf(c_10038,plain,
sdtlseqdt0(sz00,sK9(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_10032,c_92,c_8359]) ).
tcf(c_10039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK9(xk)) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10037,c_92,c_8359]) ).
tcf(c_10043,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10036,c_92,c_8359]) ).
tcf(c_10061,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10038,c_124]) ).
tcf(c_10062,plain,
( ( sdtpldt0(sz00,sK10(sz00,sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_10038,c_129]) ).
tcf(c_10063,plain,
( ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),sz00) ),
inference(superposition,[status(thm)],[c_10038,c_125]) ).
tcf(c_10064,plain,
( iLess0(sz00,sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_10038,c_98]) ).
tcf(c_10065,plain,
( iLess0(sz00,sK9(xk))
| ( sK9(xk) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10064,c_92,c_8359]) ).
tcf(c_10068,plain,
( ( sK9(xk) = sz00 )
| ~ sdtlseqdt0(sK9(xk),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10063,c_92,c_8359]) ).
tcf(c_10071,plain,
sdtpldt0(sz00,sK10(sz00,sK9(xk))) = sK9(xk),
inference(forward_subsumption_resolution,[status(thm)],[c_10062,c_92,c_8359]) ).
tcf(c_10072,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10061,c_92,c_8359]) ).
tcf(c_10122,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtpldt0(sK9(xk),X0) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_8367,c_130]) ).
tcf(c_10123,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtpldt0(X0,sz00) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_8367,c_131]) ).
tcf(c_10124,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10123,c_92,c_8359]) ).
tcf(c_10128,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK9(xk),X0) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10122,c_92,c_8359]) ).
tcf(c_10136,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_8891,c_124]) ).
tcf(c_10137,plain,
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sz10,sK10(sz10,sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_8891,c_129]) ).
tcf(c_10138,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),sz10) ),
inference(superposition,[status(thm)],[c_8891,c_125]) ).
tcf(c_10139,plain,
( iLess0(sz10,sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_8891,c_98]) ).
tcf(c_10140,plain,
( iLess0(sz10,sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10139,c_96,c_7912]) ).
tcf(c_10144,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ sdtlseqdt0(sK6(xk),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10138,c_96,c_7912]) ).
tcf(c_10148,plain,
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sz10,sK10(sz10,sK6(xk))) = sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10137,c_96,c_7912]) ).
tcf(c_10151,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10136,c_96,c_7912]) ).
tcf(c_10189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X2 = sz10 )
| ( sdtpldt0(sdtasdt0(X1,sK6(X2)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK6(X2),X0)) )
| ~ sP1(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71,c_102]) ).
tcf(c_10190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X2 = sz10 )
| ( sdtpldt0(sdtasdt0(X1,sK7(X2)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK7(X2),X0)) )
| ~ sP1(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_72,c_102]) ).
tcf(c_10198,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK9(xk)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK9(xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8359,c_102]) ).
tcf(c_10199,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sK6(xk)),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK6(xk),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7912,c_102]) ).
tcf(c_10381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X2 = sz10 )
| ( sdtpldt0(sdtasdt0(sK6(X2),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK6(X2),X0),X1) )
| ~ sP1(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_71,c_103]) ).
tcf(c_10382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X2 = sz10 )
| ( sdtpldt0(sdtasdt0(sK7(X2),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK7(X2),X0),X1) )
| ~ sP1(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_72,c_103]) ).
tcf(c_10390,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK9(xk),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK9(xk),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8359,c_103]) ).
tcf(c_10391,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK6(xk),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK6(xk),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7912,c_103]) ).
tcf(c_10570,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(sz00,X0))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(superposition,[status(thm)],[c_7919,c_119]) ).
tcf(c_10571,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(sK6(xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_7920,c_119]) ).
tcf(c_10572,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(sz00,X0))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(superposition,[status(thm)],[c_8366,c_119]) ).
tcf(c_10573,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(sK9(xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_8367,c_119]) ).
tcf(c_10587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6(xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_7919,c_119]) ).
tcf(c_10588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6(xk),X0),sK6(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_7920,c_119]) ).
tcf(c_10589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK9(xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_8366,c_119]) ).
tcf(c_10590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9(xk),X0),sK9(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_8367,c_119]) ).
tcf(c_10685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9(xk),X0),sK9(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10590,c_92,c_8359]) ).
tcf(c_10690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6(xk),X0),sK6(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10588,c_92,c_7912]) ).
tcf(c_10695,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(sK9(xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10573,c_92,c_8359]) ).
tcf(c_10700,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(sK6(xk),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10571,c_92,c_7912]) ).
tcf(c_10705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK9(xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10589,c_92,c_8359]) ).
tcf(c_10710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6(xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10587,c_92,c_7912]) ).
tcf(c_10715,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(sz00,X0))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10572,c_92,c_8359]) ).
tcf(c_10720,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(sz00,X0))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10570,c_92,c_7912]) ).
tcf(c_10925,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(X0,sK6(xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_7919,c_121]) ).
tcf(c_10926,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(X0,sz00))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(superposition,[status(thm)],[c_7920,c_121]) ).
tcf(c_10927,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(X0,sK9(xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_8366,c_121]) ).
tcf(c_10928,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(X0,sz00))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(superposition,[status(thm)],[c_8367,c_121]) ).
tcf(c_10942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK6(xk)),sK6(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_7919,c_121]) ).
tcf(c_10943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK6(xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_7920,c_121]) ).
tcf(c_10944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK9(xk)),sK9(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_8366,c_121]) ).
tcf(c_10945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK9(xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_8367,c_121]) ).
tcf(c_11040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK9(xk)),sK9(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10944,c_92,c_8359]) ).
tcf(c_11045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK6(xk)),sK6(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10942,c_92,c_7912]) ).
tcf(c_11050,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(X0,sK9(xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10927,c_92,c_8359]) ).
tcf(c_11055,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(X0,sK6(xk)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10925,c_92,c_7912]) ).
tcf(c_11060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK9(xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10945,c_92,c_8359]) ).
tcf(c_11065,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK6(xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10943,c_92,c_7912]) ).
tcf(c_11070,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(X0,sz00))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10928,c_92,c_8359]) ).
tcf(c_11075,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(X0,sz00))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10926,c_92,c_7912]) ).
tcf(c_11267,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_9586,c_124]) ).
tcf(c_11268,plain,
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sz10,sK10(sz10,sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_9586,c_129]) ).
tcf(c_11269,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),sz10) ),
inference(superposition,[status(thm)],[c_9586,c_125]) ).
tcf(c_11270,plain,
( iLess0(sz10,sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_9586,c_98]) ).
tcf(c_11271,plain,
( iLess0(sz10,sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11270,c_96,c_8359]) ).
tcf(c_11275,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ sdtlseqdt0(sK9(xk),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11269,c_96,c_8359]) ).
tcf(c_11279,plain,
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sz10,sK10(sz10,sK9(xk))) = sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11268,c_96,c_8359]) ).
tcf(c_11282,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11267,c_96,c_8359]) ).
tcf(c_11291,plain,
( ( xk = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(xk,sK6(xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7914,c_83]) ).
tcf(c_11292,plain,
( ( sK6(xk) = sz10 )
| ( sdtasdt0(sK6(xk),xk) = sK6(xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk))
| ~ sP0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_7914,c_50]) ).
tcf(c_11293,plain,
( sdtlseqdt0(sK6(xk),sdtasdt0(xk,sK6(xk)))
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7914,c_78]) ).
tcf(c_11294,plain,
( doDivides0(sK6(xk),sdtasdt0(xk,sK6(xk)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7914,c_275]) ).
tcf(c_11296,plain,
( aNaturalNumber0(sdtasdt0(xk,sK6(xk)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_7914,c_106]) ).
tcf(c_11297,plain,
aNaturalNumber0(sdtasdt0(xk,sK6(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_11296,c_49,c_7912]) ).
tcf(c_11298,plain,
doDivides0(sK6(xk),sdtasdt0(xk,sK6(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_11294,c_49,c_7912]) ).
tcf(c_11299,plain,
sdtlseqdt0(sK6(xk),sdtasdt0(xk,sK6(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_11293,c_60,c_49,c_7912]) ).
tcf(c_11300,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(xk,sK6(xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11291,c_60,c_49,c_7912]) ).
tcf(c_11303,plain,
( ( sK6(xk) = sz10 )
| ( sdtasdt0(xk,sK6(xk)) = sK6(xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk))
| ~ sP0(sdtasdt0(xk,sK6(xk))) ),
inference(light_normalisation,[status(thm)],[c_11292,c_7914]) ).
tcf(c_11304,plain,
( ( sK6(xk) = sz10 )
| ( sdtasdt0(xk,sK6(xk)) = sK6(xk) )
| ~ sP0(sdtasdt0(xk,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11303,c_49,c_7912]) ).
tcf(c_11309,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xk,sK6(xk)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xk,sK6(xk)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11297,c_103]) ).
tcf(c_11310,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xk,sK6(xk))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtasdt0(xk,sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11297,c_102]) ).
tcf(c_11311,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtasdt0(xk,sK6(xk))),X0) = sdtpldt0(X1,sdtpldt0(sdtasdt0(xk,sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11297,c_132]) ).
tcf(c_11312,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtasdt0(xk,sK6(xk))),X0) = sdtasdt0(X1,sdtasdt0(sdtasdt0(xk,sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11297,c_104]) ).
tcf(c_11313,plain,
sdtasdt0(sdtasdt0(xk,sK6(xk)),xk) = sdtasdt0(xk,sdtasdt0(xk,sK6(xk))),
inference(superposition,[status(thm)],[c_11297,c_6275]) ).
tcf(c_11314,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xk,sK6(xk)),X0) = sdtpldt0(X0,sdtasdt0(xk,sK6(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11297,c_133]) ).
tcf(c_11315,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xk,sK6(xk)),X0) = sdtasdt0(X0,sdtasdt0(xk,sK6(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11297,c_105]) ).
tcf(c_11316,plain,
sdtasdt0(sz10,sdtasdt0(xk,sK6(xk))) = sdtasdt0(xk,sK6(xk)),
inference(superposition,[status(thm)],[c_11297,c_95]) ).
tcf(c_11317,plain,
sdtasdt0(sdtasdt0(xk,sK6(xk)),sz10) = sdtasdt0(xk,sK6(xk)),
inference(superposition,[status(thm)],[c_11297,c_94]) ).
tcf(c_11318,plain,
sdtpldt0(sz00,sdtasdt0(xk,sK6(xk))) = sdtasdt0(xk,sK6(xk)),
inference(superposition,[status(thm)],[c_11297,c_91]) ).
tcf(c_11319,plain,
sdtpldt0(sdtasdt0(xk,sK6(xk)),sz00) = sdtasdt0(xk,sK6(xk)),
inference(superposition,[status(thm)],[c_11297,c_90]) ).
tcf(c_11320,plain,
sdtasdt0(sz00,sdtasdt0(xk,sK6(xk))) = sz00,
inference(superposition,[status(thm)],[c_11297,c_89]) ).
tcf(c_11321,plain,
sdtasdt0(sdtasdt0(xk,sK6(xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11297,c_88]) ).
tcf(c_11408,plain,
( ( sK6(xk) = sz10 )
| ( sdtasdt0(xk,sK6(xk)) = sK6(xk) )
| ~ aNaturalNumber0(sK6(xk))
| ~ isPrime0(sdtasdt0(xk,sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11298,c_117]) ).
tcf(c_11409,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK6(xk)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11298,c_110]) ).
tcf(c_11410,plain,
( ( sdtasdt0(sK6(xk),sK8(sK6(xk),sdtasdt0(xk,sK6(xk)))) = sdtasdt0(xk,sK6(xk)) )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11298,c_101]) ).
tcf(c_11411,plain,
( ( sK6(xk) = sz10 )
| ( sdtasdt0(xk,sK6(xk)) = sK6(xk) )
| ~ aNaturalNumber0(sK6(xk))
| ~ sP0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11298,c_51]) ).
tcf(c_11414,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK6(xk)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11409,c_7912,c_11297]) ).
tcf(c_11418,plain,
sdtasdt0(sK6(xk),sK8(sK6(xk),sdtasdt0(xk,sK6(xk)))) = sdtasdt0(xk,sK6(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_11410,c_7912,c_11297]) ).
tcf(c_11419,plain,
( ( sK6(xk) = sz10 )
| ( sdtasdt0(xk,sK6(xk)) = sK6(xk) )
| ~ isPrime0(sdtasdt0(xk,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11408,c_7912,c_11297]) ).
tcf(c_11443,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK6(xk)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11299,c_124]) ).
tcf(c_11444,plain,
( ( sdtpldt0(sK6(xk),sK10(sK6(xk),sdtasdt0(xk,sK6(xk)))) = sdtasdt0(xk,sK6(xk)) )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11299,c_129]) ).
tcf(c_11445,plain,
( ( sdtasdt0(xk,sK6(xk)) = sK6(xk) )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk)))
| ~ sdtlseqdt0(sdtasdt0(xk,sK6(xk)),sK6(xk)) ),
inference(superposition,[status(thm)],[c_11299,c_125]) ).
tcf(c_11446,plain,
( iLess0(sK6(xk),sdtasdt0(xk,sK6(xk)))
| ( sdtasdt0(xk,sK6(xk)) = sK6(xk) )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11299,c_98]) ).
tcf(c_11447,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK6(xk)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11443,c_7912,c_11297]) ).
tcf(c_11451,plain,
( iLess0(sK6(xk),sdtasdt0(xk,sK6(xk)))
| ( sdtasdt0(xk,sK6(xk)) = sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11446,c_7912,c_11297]) ).
tcf(c_11454,plain,
( ( sdtasdt0(xk,sK6(xk)) = sK6(xk) )
| ~ sdtlseqdt0(sdtasdt0(xk,sK6(xk)),sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11445,c_7912,c_11297]) ).
tcf(c_11457,plain,
sdtpldt0(sK6(xk),sK10(sK6(xk),sdtasdt0(xk,sK6(xk)))) = sdtasdt0(xk,sK6(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_11444,c_7912,c_11297]) ).
tcf(c_11459,plain,
( ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8350,c_83]) ).
tcf(c_11461,plain,
( sdtlseqdt0(sK6(xk),sz00)
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8350,c_78]) ).
tcf(c_11465,plain,
( sdtlseqdt0(sK6(xk),sz00)
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sK6(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11461,c_7912]) ).
tcf(c_11469,plain,
( ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sK6(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11459,c_7912]) ).
tcf(c_11473,plain,
( ( xk = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(xk,sK9(xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8361,c_83]) ).
tcf(c_11474,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(sK9(xk),xk) = sK9(xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk))
| ~ sP0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_8361,c_50]) ).
tcf(c_11475,plain,
( sdtlseqdt0(sK9(xk),sdtasdt0(xk,sK9(xk)))
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8361,c_78]) ).
tcf(c_11476,plain,
( doDivides0(sK9(xk),sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8361,c_275]) ).
tcf(c_11478,plain,
( aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8361,c_106]) ).
tcf(c_11479,plain,
aNaturalNumber0(sdtasdt0(xk,sK9(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_11478,c_49,c_8359]) ).
tcf(c_11480,plain,
doDivides0(sK9(xk),sdtasdt0(xk,sK9(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_11476,c_49,c_8359]) ).
tcf(c_11481,plain,
sdtlseqdt0(sK9(xk),sdtasdt0(xk,sK9(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_11475,c_60,c_49,c_8359]) ).
tcf(c_11482,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11473,c_60,c_49,c_8359]) ).
tcf(c_11485,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(xk,sK9(xk)) = sK9(xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk))
| ~ sP0(sdtasdt0(xk,sK9(xk))) ),
inference(light_normalisation,[status(thm)],[c_11474,c_8361]) ).
tcf(c_11486,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(xk,sK9(xk)) = sK9(xk) )
| ~ sP0(sdtasdt0(xk,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11485,c_49,c_8359]) ).
tcf(c_11491,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk) = sdtasdt0(xk,sdtasdt0(xk,sK4)) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))) ),
inference(superposition,[status(thm)],[c_6746,c_50]) ).
tcf(c_11505,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sdtasdt0(xk,sK4)) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))) ),
inference(light_normalisation,[status(thm)],[c_11491,c_6746]) ).
tcf(c_11506,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) = sdtasdt0(xk,sdtasdt0(xk,sK4)) )
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11505,c_49,c_6561]) ).
tcf(c_11624,plain,
! [X0: $i] :
( ( sK7(xk) = X0 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(sK6(xk),X0) != xk ) ),
inference(superposition,[status(thm)],[c_7770,c_86]) ).
tcf(c_11643,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK7(sK4) = X0 )
| ( sK6(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4))
| ( sdtasdt0(sK6(sK4),X0) != sK4 ) ),
inference(superposition,[status(thm)],[c_7771,c_86]) ).
tcf(c_11644,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ( sdtasdt0(sK6(sK6(xk)),X0) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7804,c_86]) ).
tcf(c_11645,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ( sdtasdt0(sK6(sK9(xk)),X0) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_7854,c_86]) ).
tcf(c_11646,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(sK6(xk),X0) != sdtasdt0(xk,sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_7914,c_86]) ).
tcf(c_11647,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(sz10,X0) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7917,c_86]) ).
tcf(c_11648,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(sK6(xk),X0) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7918,c_86]) ).
tcf(c_11650,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(sK6(xk),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7922,c_86]) ).
tcf(c_11651,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),sz00))
| ( sdtasdt0(sK6(xk),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8350,c_86]) ).
tcf(c_11652,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(sK9(xk),X0) != sdtasdt0(xk,sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_8361,c_86]) ).
tcf(c_11653,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(sz10,X0) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_8364,c_86]) ).
tcf(c_11654,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(sK9(xk),X0) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_8365,c_86]) ).
tcf(c_11656,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(sK9(xk),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8369,c_86]) ).
tcf(c_11721,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK9(xk),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11656,c_92,c_8359]) ).
tcf(c_11726,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11653,c_97,c_96,c_8359]) ).
tcf(c_11730,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK6(xk),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11650,c_92,c_7912]) ).
tcf(c_11735,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11647,c_97,c_96,c_7912]) ).
tcf(c_11739,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK9(xk),X0) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11654,c_96,c_8359]) ).
tcf(c_11744,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK6(xk),X0) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11648,c_96,c_7912]) ).
tcf(c_11814,plain,
! [X0: $i] :
( ( sK7(xk) = X0 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ( sdtasdt0(sK6(xk),X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11624,c_7912]) ).
tcf(c_11820,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK9(xk),X0) != sdtasdt0(xk,sK9(xk)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11652,c_49,c_8359]) ).
tcf(c_11825,plain,
! [X0: $i] :
( ( X0 = xk )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK6(xk),X0) != sdtasdt0(xk,sK6(xk)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11646,c_49,c_7912]) ).
tcf(c_11858,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6(xk),sz00))
| ( sdtasdt0(sK6(xk),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11651,c_7912]) ).
tcf(c_12102,plain,
! [X0: $i] :
( ( sK7(xk) = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(X0,sK7(xk)) != xk ) ),
inference(superposition,[status(thm)],[c_7770,c_87]) ).
tcf(c_12121,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK7(sK4) = sz00 )
| ( sK6(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4))
| ( sdtasdt0(X0,sK7(sK4)) != sK4 ) ),
inference(superposition,[status(thm)],[c_7771,c_87]) ).
tcf(c_12122,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ( sdtasdt0(X0,sK7(sK6(xk))) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7804,c_87]) ).
tcf(c_12123,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ( sdtasdt0(X0,sK7(sK9(xk))) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_7854,c_87]) ).
tcf(c_12124,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(xk,sK6(xk)) != sdtasdt0(X0,xk) ) ),
inference(superposition,[status(thm)],[c_7914,c_87]) ).
tcf(c_12125,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(X0,sK6(xk)) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7917,c_87]) ).
tcf(c_12126,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(X0,sz10) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_7918,c_87]) ).
tcf(c_12127,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ( sdtasdt0(X0,sK6(xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7921,c_87]) ).
tcf(c_12129,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),sz00))
| ( sdtasdt0(X0,sK8(sK6(xk),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8350,c_87]) ).
tcf(c_12130,plain,
! [X0: $i] :
( ( xk = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(xk,sK9(xk)) != sdtasdt0(X0,xk) ) ),
inference(superposition,[status(thm)],[c_8361,c_87]) ).
tcf(c_12131,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(X0,sK9(xk)) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_8364,c_87]) ).
tcf(c_12132,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(X0,sz10) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_8365,c_87]) ).
tcf(c_12133,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(X0,sK9(xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8368,c_87]) ).
tcf(c_12197,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK9(xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12133,c_92,c_8359]) ).
tcf(c_12202,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12132,c_97,c_96,c_8359]) ).
tcf(c_12206,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK6(xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12127,c_92,c_7912]) ).
tcf(c_12211,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12126,c_97,c_96,c_7912]) ).
tcf(c_12215,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK9(xk)) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12131,c_96,c_8359]) ).
tcf(c_12220,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK6(xk)) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12125,c_96,c_7912]) ).
tcf(c_12225,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sK9(xk)) != sdtasdt0(X0,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12130,c_60,c_49,c_8359]) ).
tcf(c_12229,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xk,sK6(xk)) != sdtasdt0(X0,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12124,c_60,c_49,c_7912]) ).
tcf(c_12233,plain,
! [X0: $i] :
( ( sK7(xk) = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ( sdtasdt0(X0,sK7(xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12102,c_7912]) ).
tcf(c_12360,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6(xk),sz00))
| ( sdtasdt0(X0,sK8(sK6(xk),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12129,c_7912]) ).
tcf(c_12498,plain,
( sP1(sK6(xk))
| ( xk = sz00 )
| ( xk = sz10 )
| ~ sP1(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_74,c_77]) ).
tcf(c_12499,plain,
( sP1(sK6(xk))
| ~ aNaturalNumber0(sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12498,c_60,c_61,c_9355]) ).
tcf(c_12601,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK6(xk),X0))
| ( sK7(xk) = X0 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK7(xk),X0) ),
inference(superposition,[status(thm)],[c_7770,c_80]) ).
tcf(c_12620,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(sK6(sK4),X0))
| ( sz00 = sK4 )
| ( sK7(sK4) = X0 )
| ( sK6(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4))
| ~ sdtlseqdt0(sK7(sK4),X0) ),
inference(superposition,[status(thm)],[c_7771,c_80]) ).
tcf(c_12621,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(sK6(sK6(xk)),X0))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0) ),
inference(superposition,[status(thm)],[c_7804,c_80]) ).
tcf(c_12622,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(sK6(sK9(xk)),X0))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0) ),
inference(superposition,[status(thm)],[c_7854,c_80]) ).
tcf(c_12623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK6(xk)),sdtasdt0(sK6(xk),X0))
| ( X0 = xk )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_7914,c_80]) ).
tcf(c_12624,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(superposition,[status(thm)],[c_7917,c_80]) ).
tcf(c_12625,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(sK6(xk),X0))
| ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_7918,c_80]) ).
tcf(c_12627,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK6(xk),X0))
| ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_7922,c_80]) ).
tcf(c_12628,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK6(xk),X0))
| ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),sz00))
| ~ sdtlseqdt0(sK8(sK6(xk),sz00),X0) ),
inference(superposition,[status(thm)],[c_8350,c_80]) ).
tcf(c_12629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK9(xk)),sdtasdt0(sK9(xk),X0))
| ( X0 = xk )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_8361,c_80]) ).
tcf(c_12630,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(superposition,[status(thm)],[c_8364,c_80]) ).
tcf(c_12631,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(sK9(xk),X0))
| ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_8365,c_80]) ).
tcf(c_12633,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9(xk),X0))
| ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_8369,c_80]) ).
tcf(c_12659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),xk)
| ( sK7(xk) = X0 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK7(xk)) ),
inference(superposition,[status(thm)],[c_7770,c_80]) ).
tcf(c_12678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK4),X0),sK4)
| ( sz00 = sK4 )
| ( sK7(sK4) = X0 )
| ( sK6(sK4) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4))
| ~ sdtlseqdt0(X0,sK7(sK4)) ),
inference(superposition,[status(thm)],[c_7771,c_80]) ).
tcf(c_12679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK6(xk)),X0),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK7(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7804,c_80]) ).
tcf(c_12680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK9(xk)),X0),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK7(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7854,c_80]) ).
tcf(c_12681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),sdtasdt0(xk,sK6(xk)))
| ( X0 = xk )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_7914,c_80]) ).
tcf(c_12682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK6(xk))
| ( sz10 = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_7917,c_80]) ).
tcf(c_12683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),sK6(xk))
| ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_7918,c_80]) ).
tcf(c_12685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),sz00)
| ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_7922,c_80]) ).
tcf(c_12686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),sz00)
| ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),sz00))
| ~ sdtlseqdt0(X0,sK8(sK6(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8350,c_80]) ).
tcf(c_12687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sdtasdt0(xk,sK9(xk)))
| ( X0 = xk )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_8361,c_80]) ).
tcf(c_12688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9(xk))
| ( sz10 = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_8364,c_80]) ).
tcf(c_12689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sK9(xk))
| ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_8365,c_80]) ).
tcf(c_12691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sz00)
| ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_8369,c_80]) ).
tcf(c_12850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sz00)
| ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12691,c_92,c_8359]) ).
tcf(c_12856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),sz00)
| ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12685,c_92,c_7912]) ).
tcf(c_12862,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9(xk),X0))
| ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12633,c_92,c_8359]) ).
tcf(c_12868,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK6(xk),X0))
| ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12627,c_92,c_7912]) ).
tcf(c_12874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sK9(xk))
| ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12689,c_96,c_8359]) ).
tcf(c_12880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9(xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12688,c_97,c_96,c_8359]) ).
tcf(c_12885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),sK6(xk))
| ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12683,c_96,c_7912]) ).
tcf(c_12891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK6(xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12682,c_97,c_96,c_7912]) ).
tcf(c_12896,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(sK9(xk),X0))
| ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12631,c_96,c_8359]) ).
tcf(c_12902,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(sz10,X0))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12630,c_97,c_96,c_8359]) ).
tcf(c_12907,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(sK6(xk),X0))
| ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12625,c_96,c_7912]) ).
tcf(c_12913,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(sz10,X0))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12624,c_97,c_96,c_7912]) ).
tcf(c_12918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sdtasdt0(xk,sK9(xk)))
| ( X0 = xk )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12687,c_49,c_8359]) ).
tcf(c_12924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),sdtasdt0(xk,sK6(xk)))
| ( X0 = xk )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12681,c_49,c_7912]) ).
tcf(c_13013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),xk)
| ( sK7(xk) = X0 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ sdtlseqdt0(X0,sK7(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12659,c_7912]) ).
tcf(c_13026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK9(xk)),sdtasdt0(sK9(xk),X0))
| ( X0 = xk )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12629,c_49,c_8359]) ).
tcf(c_13032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK6(xk)),sdtasdt0(sK6(xk),X0))
| ( X0 = xk )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12623,c_49,c_7912]) ).
tcf(c_13121,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK6(xk),X0))
| ( sK7(xk) = X0 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ sdtlseqdt0(sK7(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12601,c_7912]) ).
tcf(c_13218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),sz00)
| ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6(xk),sz00))
| ~ sdtlseqdt0(X0,sK8(sK6(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12686,c_7912]) ).
tcf(c_13225,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK6(xk),X0))
| ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6(xk),sz00))
| ~ sdtlseqdt0(sK8(sK6(xk),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12628,c_7912]) ).
tcf(c_13591,plain,
sP1(sK6(xk)),
inference(global_subsumption_just,[status(thm)],[c_12499,c_61,c_60,c_6096,c_6330,c_6577]) ).
tcf(c_13633,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK7(xk)))
| ( sK7(xk) = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(superposition,[status(thm)],[c_7770,c_82]) ).
tcf(c_13652,plain,
! [X0: $i] :
( sdtlseqdt0(sK4,sdtasdt0(X0,sK7(sK4)))
| ( sz00 = sK4 )
| ( sK7(sK4) = sz00 )
| ( sK6(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4))
| ~ sdtlseqdt0(sK6(sK4),X0) ),
inference(superposition,[status(thm)],[c_7771,c_82]) ).
tcf(c_13653,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(X0,sK7(sK6(xk))))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0) ),
inference(superposition,[status(thm)],[c_7804,c_82]) ).
tcf(c_13654,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(X0,sK7(sK9(xk))))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0) ),
inference(superposition,[status(thm)],[c_7854,c_82]) ).
tcf(c_13655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK6(xk)),sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(superposition,[status(thm)],[c_7914,c_82]) ).
tcf(c_13656,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(X0,sK6(xk)))
| ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_7917,c_82]) ).
tcf(c_13657,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(superposition,[status(thm)],[c_7918,c_82]) ).
tcf(c_13658,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK6(xk)))
| ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_7921,c_82]) ).
tcf(c_13660,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sK6(xk),sz00)))
| ( sK6(xk) = X0 )
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0)
| ~ aNaturalNumber0(sK8(sK6(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8350,c_82]) ).
tcf(c_13661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK9(xk)),sdtasdt0(X0,xk))
| ( xk = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(superposition,[status(thm)],[c_8361,c_82]) ).
tcf(c_13662,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(X0,sK9(xk)))
| ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_8364,c_82]) ).
tcf(c_13663,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(X0,sz10))
| ( sz10 = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(superposition,[status(thm)],[c_8365,c_82]) ).
tcf(c_13664,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xk)))
| ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_8368,c_82]) ).
tcf(c_13691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xk)),xk)
| ( sK7(xk) = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_7770,c_82]) ).
tcf(c_13710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK4)),sK4)
| ( sz00 = sK4 )
| ( sK7(sK4) = sz00 )
| ( sK6(sK4) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK4))
| ~ aNaturalNumber0(sK6(sK4))
| ~ sdtlseqdt0(X0,sK6(sK4)) ),
inference(superposition,[status(thm)],[c_7771,c_82]) ).
tcf(c_13711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK6(xk))),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7804,c_82]) ).
tcf(c_13712,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK9(xk))),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7854,c_82]) ).
tcf(c_13713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK6(xk)))
| ( xk = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_7914,c_82]) ).
tcf(c_13714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK6(xk)),sK6(xk))
| ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_7917,c_82]) ).
tcf(c_13715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK6(xk))
| ( sz10 = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_7918,c_82]) ).
tcf(c_13716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK6(xk)),sz00)
| ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_7921,c_82]) ).
tcf(c_13718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK6(xk),sz00)),sz00)
| ( sK6(xk) = X0 )
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8350,c_82]) ).
tcf(c_13719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK9(xk)))
| ( xk = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_8361,c_82]) ).
tcf(c_13720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xk)),sK9(xk))
| ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_8364,c_82]) ).
tcf(c_13721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK9(xk))
| ( sz10 = sz00 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_8365,c_82]) ).
tcf(c_13722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xk)),sz00)
| ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_8368,c_82]) ).
tcf(c_13878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xk)),sz00)
| ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13722,c_92,c_8359]) ).
tcf(c_13884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK6(xk)),sz00)
| ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13716,c_92,c_7912]) ).
tcf(c_13890,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xk)))
| ( X0 = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13664,c_92,c_8359]) ).
tcf(c_13896,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK6(xk)))
| ( X0 = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13658,c_92,c_7912]) ).
tcf(c_13902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK9(xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13721,c_97,c_96,c_8359]) ).
tcf(c_13907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xk)),sK9(xk))
| ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13720,c_96,c_8359]) ).
tcf(c_13913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK6(xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13715,c_97,c_96,c_7912]) ).
tcf(c_13918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK6(xk)),sK6(xk))
| ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13714,c_96,c_7912]) ).
tcf(c_13924,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(X0,sz10))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13663,c_97,c_96,c_8359]) ).
tcf(c_13929,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(X0,sK9(xk)))
| ( X0 = sz10 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13662,c_96,c_8359]) ).
tcf(c_13935,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(X0,sz10))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13657,c_97,c_96,c_7912]) ).
tcf(c_13940,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(X0,sK6(xk)))
| ( X0 = sz10 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13656,c_96,c_7912]) ).
tcf(c_13946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK9(xk)))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13719,c_60,c_49,c_8359]) ).
tcf(c_13951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(xk,sK6(xk)))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13713,c_60,c_49,c_7912]) ).
tcf(c_14046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xk)),xk)
| ( sK7(xk) = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13691,c_7912]) ).
tcf(c_14066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK9(xk)),sdtasdt0(X0,xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13661,c_60,c_49,c_8359]) ).
tcf(c_14071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK6(xk)),sdtasdt0(X0,xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13655,c_60,c_49,c_7912]) ).
tcf(c_14166,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK7(xk)))
| ( sK7(xk) = sz00 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13633,c_7912]) ).
tcf(c_14266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK6(xk),sz00)),sz00)
| ( sK6(xk) = X0 )
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13718,c_7912]) ).
tcf(c_14273,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sK6(xk),sz00)))
| ( sK6(xk) = X0 )
| ( sK8(sK6(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6(xk),X0)
| ~ aNaturalNumber0(sK8(sK6(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13660,c_7912]) ).
tcf(c_14677,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xk,sK9(xk)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xk,sK9(xk)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11479,c_103]) ).
tcf(c_14678,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xk,sK9(xk))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtasdt0(xk,sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11479,c_102]) ).
tcf(c_14679,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtasdt0(xk,sK9(xk))),X0) = sdtpldt0(X1,sdtpldt0(sdtasdt0(xk,sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11479,c_132]) ).
tcf(c_14680,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtasdt0(xk,sK9(xk))),X0) = sdtasdt0(X1,sdtasdt0(sdtasdt0(xk,sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11479,c_104]) ).
tcf(c_14681,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),xk) = sdtasdt0(xk,sdtasdt0(xk,sK9(xk))),
inference(superposition,[status(thm)],[c_11479,c_6275]) ).
tcf(c_14682,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xk,sK9(xk)),X0) = sdtpldt0(X0,sdtasdt0(xk,sK9(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11479,c_133]) ).
tcf(c_14683,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xk,sK9(xk)),X0) = sdtasdt0(X0,sdtasdt0(xk,sK9(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11479,c_105]) ).
tcf(c_14684,plain,
sdtasdt0(sz10,sdtasdt0(xk,sK9(xk))) = sdtasdt0(xk,sK9(xk)),
inference(superposition,[status(thm)],[c_11479,c_95]) ).
tcf(c_14685,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),sz10) = sdtasdt0(xk,sK9(xk)),
inference(superposition,[status(thm)],[c_11479,c_94]) ).
tcf(c_14686,plain,
sdtpldt0(sz00,sdtasdt0(xk,sK9(xk))) = sdtasdt0(xk,sK9(xk)),
inference(superposition,[status(thm)],[c_11479,c_91]) ).
tcf(c_14687,plain,
sdtpldt0(sdtasdt0(xk,sK9(xk)),sz00) = sdtasdt0(xk,sK9(xk)),
inference(superposition,[status(thm)],[c_11479,c_90]) ).
tcf(c_14688,plain,
sdtasdt0(sz00,sdtasdt0(xk,sK9(xk))) = sz00,
inference(superposition,[status(thm)],[c_11479,c_89]) ).
tcf(c_14689,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_11479,c_88]) ).
tcf(c_14758,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(xk,sK9(xk)) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk))
| ~ isPrime0(sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_11480,c_117]) ).
tcf(c_14759,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_11480,c_110]) ).
tcf(c_14760,plain,
( ( sdtasdt0(sK9(xk),sK8(sK9(xk),sdtasdt0(xk,sK9(xk)))) = sdtasdt0(xk,sK9(xk)) )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_11480,c_101]) ).
tcf(c_14761,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(xk,sK9(xk)) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk))
| ~ sP0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_11480,c_51]) ).
tcf(c_14764,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14759,c_8359,c_11479]) ).
tcf(c_14768,plain,
sdtasdt0(sK9(xk),sK8(sK9(xk),sdtasdt0(xk,sK9(xk)))) = sdtasdt0(xk,sK9(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_14760,c_8359,c_11479]) ).
tcf(c_14769,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(xk,sK9(xk)) = sK9(xk) )
| ~ isPrime0(sdtasdt0(xk,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14758,c_8359,c_11479]) ).
tcf(c_14774,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_11481,c_124]) ).
tcf(c_14775,plain,
( ( sdtpldt0(sK9(xk),sK10(sK9(xk),sdtasdt0(xk,sK9(xk)))) = sdtasdt0(xk,sK9(xk)) )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_11481,c_129]) ).
tcf(c_14776,plain,
( ( sdtasdt0(xk,sK9(xk)) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ sdtlseqdt0(sdtasdt0(xk,sK9(xk)),sK9(xk)) ),
inference(superposition,[status(thm)],[c_11481,c_125]) ).
tcf(c_14777,plain,
( iLess0(sK9(xk),sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_11481,c_98]) ).
tcf(c_14778,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14774,c_8359,c_11479]) ).
tcf(c_14782,plain,
( iLess0(sK9(xk),sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14777,c_8359,c_11479]) ).
tcf(c_14785,plain,
( ( sdtasdt0(xk,sK9(xk)) = sK9(xk) )
| ~ sdtlseqdt0(sdtasdt0(xk,sK9(xk)),sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14776,c_8359,c_11479]) ).
tcf(c_14788,plain,
sdtpldt0(sK9(xk),sK10(sK9(xk),sdtasdt0(xk,sK9(xk)))) = sdtasdt0(xk,sK9(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_14775,c_8359,c_11479]) ).
tcf(c_14979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK6(sK6(xk)),X0))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X1,sK6(xk))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12621,c_124]) ).
tcf(c_14980,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtpldt0(sK6(xk),sK10(sK6(xk),sdtasdt0(sK6(sK6(xk)),X0))) = sdtasdt0(sK6(sK6(xk)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12621,c_129]) ).
tcf(c_14981,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),X0) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK6(sK6(xk)),X0),sK6(xk)) ),
inference(superposition,[status(thm)],[c_12621,c_125]) ).
tcf(c_14982,plain,
! [X0: $i] :
( iLess0(sK6(xk),sdtasdt0(sK6(sK6(xk)),X0))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),X0) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12621,c_98]) ).
tcf(c_14983,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK6(sK6(xk)),X0))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X1,sK6(xk))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14979,c_7912]) ).
tcf(c_14995,plain,
! [X0: $i] :
( iLess0(sK6(xk),sdtasdt0(sK6(sK6(xk)),X0))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),X0) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14982,c_7912]) ).
tcf(c_15006,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),X0) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK6(sK6(xk)),X0),sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14981,c_7912]) ).
tcf(c_15017,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtpldt0(sK6(xk),sK10(sK6(xk),sdtasdt0(sK6(sK6(xk)),X0))) = sdtasdt0(sK6(sK6(xk)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK7(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14980,c_7912]) ).
tcf(c_15048,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK6(sK9(xk)),X0))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X1,sK9(xk))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12622,c_124]) ).
tcf(c_15049,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtpldt0(sK9(xk),sK10(sK9(xk),sdtasdt0(sK6(sK9(xk)),X0))) = sdtasdt0(sK6(sK9(xk)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12622,c_129]) ).
tcf(c_15050,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),X0) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK6(sK9(xk)),X0),sK9(xk)) ),
inference(superposition,[status(thm)],[c_12622,c_125]) ).
tcf(c_15051,plain,
! [X0: $i] :
( iLess0(sK9(xk),sdtasdt0(sK6(sK9(xk)),X0))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),X0) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12622,c_98]) ).
tcf(c_15052,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK6(sK9(xk)),X0))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X1,sK9(xk))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15048,c_8359]) ).
tcf(c_15064,plain,
! [X0: $i] :
( iLess0(sK9(xk),sdtasdt0(sK6(sK9(xk)),X0))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),X0) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15051,c_8359]) ).
tcf(c_15075,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),X0) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0))
| ~ sdtlseqdt0(sdtasdt0(sK6(sK9(xk)),X0),sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15050,c_8359]) ).
tcf(c_15086,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtpldt0(sK9(xk),sK10(sK9(xk),sdtasdt0(sK6(sK9(xk)),X0))) = sdtasdt0(sK6(sK9(xk)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK7(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15049,c_8359]) ).
tcf(c_15138,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X1 )
| ( sK6(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X1,sK7(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK6(sK6(xk)),X1)) ),
inference(superposition,[status(thm)],[c_12679,c_124]) ).
tcf(c_15139,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(sK6(xk)),X0),sK10(sdtasdt0(sK6(sK6(xk)),X0),sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK7(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12679,c_129]) ).
tcf(c_15140,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),X0) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK7(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0))
| ~ sdtlseqdt0(sK6(xk),sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12679,c_125]) ).
tcf(c_15141,plain,
! [X0: $i] :
( iLess0(sdtasdt0(sK6(sK6(xk)),X0),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),X0) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK7(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12679,c_98]) ).
tcf(c_15142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X1 )
| ( sK6(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X1,sK7(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK6(sK6(xk)),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15138,c_7912]) ).
tcf(c_15154,plain,
! [X0: $i] :
( iLess0(sdtasdt0(sK6(sK6(xk)),X0),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),X0) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK7(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15141,c_7912]) ).
tcf(c_15165,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),X0) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK7(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0))
| ~ sdtlseqdt0(sK6(xk),sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15140,c_7912]) ).
tcf(c_15176,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = X0 )
| ( sK6(sK6(xk)) = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(sK6(xk)),X0),sK10(sdtasdt0(sK6(sK6(xk)),X0),sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK7(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK6(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15139,c_7912]) ).
tcf(c_15914,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X1 )
| ( sK6(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X1,sK7(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK6(sK9(xk)),X1)) ),
inference(superposition,[status(thm)],[c_12680,c_124]) ).
tcf(c_15915,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(sK9(xk)),X0),sK10(sdtasdt0(sK6(sK9(xk)),X0),sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK7(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12680,c_129]) ).
tcf(c_15916,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),X0) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK7(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0))
| ~ sdtlseqdt0(sK9(xk),sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12680,c_125]) ).
tcf(c_15917,plain,
! [X0: $i] :
( iLess0(sdtasdt0(sK6(sK9(xk)),X0),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),X0) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK7(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(superposition,[status(thm)],[c_12680,c_98]) ).
tcf(c_15918,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X1 )
| ( sK6(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X1,sK7(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK6(sK9(xk)),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15914,c_8359]) ).
tcf(c_15930,plain,
! [X0: $i] :
( iLess0(sdtasdt0(sK6(sK9(xk)),X0),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),X0) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK7(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15917,c_8359]) ).
tcf(c_15941,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),X0) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK7(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0))
| ~ sdtlseqdt0(sK9(xk),sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15916,c_8359]) ).
tcf(c_15952,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = X0 )
| ( sK6(sK9(xk)) = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(sK9(xk)),X0),sK10(sdtasdt0(sK6(sK9(xk)),X0),sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK7(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK9(xk)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15915,c_8359]) ).
tcf(c_15982,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,sK7(sK6(xk))))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X1,sK6(xk))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(superposition,[status(thm)],[c_13653,c_124]) ).
tcf(c_15983,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtpldt0(sK6(xk),sK10(sK6(xk),sdtasdt0(X0,sK7(sK6(xk))))) = sdtasdt0(X0,sK7(sK6(xk))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(superposition,[status(thm)],[c_13653,c_129]) ).
tcf(c_15984,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk))))
| ~ sdtlseqdt0(sdtasdt0(X0,sK7(sK6(xk))),sK6(xk)) ),
inference(superposition,[status(thm)],[c_13653,c_125]) ).
tcf(c_15985,plain,
! [X0: $i] :
( iLess0(sK6(xk),sdtasdt0(X0,sK7(sK6(xk))))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(superposition,[status(thm)],[c_13653,c_98]) ).
tcf(c_15986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,sK7(sK6(xk))))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X1,sK6(xk))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15982,c_7912]) ).
tcf(c_15998,plain,
! [X0: $i] :
( iLess0(sK6(xk),sdtasdt0(X0,sK7(sK6(xk))))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15985,c_7912]) ).
tcf(c_16009,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk))))
| ~ sdtlseqdt0(sdtasdt0(X0,sK7(sK6(xk))),sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15984,c_7912]) ).
tcf(c_16020,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtpldt0(sK6(xk),sK10(sK6(xk),sdtasdt0(X0,sK7(sK6(xk))))) = sdtasdt0(X0,sK7(sK6(xk))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(sK6(sK6(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15983,c_7912]) ).
tcf(c_16051,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,sK7(sK9(xk))))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X1,sK9(xk))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_13654,c_124]) ).
tcf(c_16052,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtpldt0(sK9(xk),sK10(sK9(xk),sdtasdt0(X0,sK7(sK9(xk))))) = sdtasdt0(X0,sK7(sK9(xk))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_13654,c_129]) ).
tcf(c_16053,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk))))
| ~ sdtlseqdt0(sdtasdt0(X0,sK7(sK9(xk))),sK9(xk)) ),
inference(superposition,[status(thm)],[c_13654,c_125]) ).
tcf(c_16054,plain,
! [X0: $i] :
( iLess0(sK9(xk),sdtasdt0(X0,sK7(sK9(xk))))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_13654,c_98]) ).
tcf(c_16055,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,sK7(sK9(xk))))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X1,sK9(xk))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16051,c_8359]) ).
tcf(c_16067,plain,
! [X0: $i] :
( iLess0(sK9(xk),sdtasdt0(X0,sK7(sK9(xk))))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16054,c_8359]) ).
tcf(c_16078,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk))))
| ~ sdtlseqdt0(sdtasdt0(X0,sK7(sK9(xk))),sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16053,c_8359]) ).
tcf(c_16089,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtpldt0(sK9(xk),sK10(sK9(xk),sdtasdt0(X0,sK7(sK9(xk))))) = sdtasdt0(X0,sK7(sK9(xk))) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(sK6(sK9(xk)),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16052,c_8359]) ).
tcf(c_16120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X1,sK6(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(X1,sK7(sK6(xk))))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,sK7(sK6(xk)))) ),
inference(superposition,[status(thm)],[c_13711,c_124]) ).
tcf(c_16121,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtpldt0(sdtasdt0(X0,sK7(sK6(xk))),sK10(sdtasdt0(X0,sK7(sK6(xk))),sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK6(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(superposition,[status(thm)],[c_13711,c_129]) ).
tcf(c_16122,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK6(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk))))
| ~ sdtlseqdt0(sK6(xk),sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(superposition,[status(thm)],[c_13711,c_125]) ).
tcf(c_16123,plain,
! [X0: $i] :
( iLess0(sdtasdt0(X0,sK7(sK6(xk))),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK6(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(superposition,[status(thm)],[c_13711,c_98]) ).
tcf(c_16124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X1,sK6(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(X1,sK7(sK6(xk))))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,sK7(sK6(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16120,c_7912]) ).
tcf(c_16136,plain,
! [X0: $i] :
( iLess0(sdtasdt0(X0,sK7(sK6(xk))),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK6(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16123,c_7912]) ).
tcf(c_16147,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK6(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk))))
| ~ sdtlseqdt0(sK6(xk),sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16122,c_7912]) ).
tcf(c_16158,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK7(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = X0 )
| ( sdtpldt0(sdtasdt0(X0,sK7(sK6(xk))),sK10(sdtasdt0(X0,sK7(sK6(xk))),sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ sdtlseqdt0(X0,sK6(sK6(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK6(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16121,c_7912]) ).
tcf(c_16199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X1,sK6(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(X1,sK7(sK9(xk))))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,sK7(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_13712,c_124]) ).
tcf(c_16200,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtpldt0(sdtasdt0(X0,sK7(sK9(xk))),sK10(sdtasdt0(X0,sK7(sK9(xk))),sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK6(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_13712,c_129]) ).
tcf(c_16201,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK6(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk))))
| ~ sdtlseqdt0(sK9(xk),sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_13712,c_125]) ).
tcf(c_16202,plain,
! [X0: $i] :
( iLess0(sdtasdt0(X0,sK7(sK9(xk))),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK6(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_13712,c_98]) ).
tcf(c_16203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X1,sK6(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(X1,sK7(sK9(xk))))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,sK7(sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16199,c_8359]) ).
tcf(c_16215,plain,
! [X0: $i] :
( iLess0(sdtasdt0(X0,sK7(sK9(xk))),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK6(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16202,c_8359]) ).
tcf(c_16226,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtasdt0(X0,sK7(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK6(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk))))
| ~ sdtlseqdt0(sK9(xk),sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16201,c_8359]) ).
tcf(c_16237,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK7(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = X0 )
| ( sdtpldt0(sdtasdt0(X0,sK7(sK9(xk))),sK10(sdtasdt0(X0,sK7(sK9(xk))),sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ sdtlseqdt0(X0,sK6(sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16200,c_8359]) ).
tcf(c_16263,plain,
( ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8736,c_83]) ).
tcf(c_16265,plain,
( sdtlseqdt0(sK9(xk),sz00)
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8736,c_78]) ).
tcf(c_16268,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9(xk),X0))
| ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),sz00))
| ~ sdtlseqdt0(sK8(sK9(xk),sz00),X0) ),
inference(superposition,[status(thm)],[c_8736,c_80]) ).
tcf(c_16269,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sK9(xk),sz00)))
| ( sK9(xk) = X0 )
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0)
| ~ aNaturalNumber0(sK8(sK9(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8736,c_82]) ).
tcf(c_16270,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),sz00))
| ( sdtasdt0(sK9(xk),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8736,c_86]) ).
tcf(c_16271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sz00)
| ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),sz00))
| ~ sdtlseqdt0(X0,sK8(sK9(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8736,c_80]) ).
tcf(c_16272,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),sz00))
| ( sdtasdt0(X0,sK8(sK9(xk),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8736,c_87]) ).
tcf(c_16273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK9(xk),sz00)),sz00)
| ( sK9(xk) = X0 )
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),sz00)) ),
inference(superposition,[status(thm)],[c_8736,c_82]) ).
tcf(c_16275,plain,
( sdtlseqdt0(sK9(xk),sz00)
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sK9(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16265,c_8359]) ).
tcf(c_16279,plain,
( ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sK9(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16263,c_8359]) ).
tcf(c_16283,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK9(xk),sz00))
| ( sdtasdt0(sK9(xk),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16270,c_8359]) ).
tcf(c_16289,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK9(xk),sz00))
| ( sdtasdt0(X0,sK8(sK9(xk),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16272,c_8359]) ).
tcf(c_16295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK9(xk),sz00)),sz00)
| ( sK9(xk) = X0 )
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16273,c_8359]) ).
tcf(c_16302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sz00)
| ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK9(xk),sz00))
| ~ sdtlseqdt0(X0,sK8(sK9(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16271,c_8359]) ).
tcf(c_16309,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK8(sK9(xk),sz00)))
| ( sK9(xk) = X0 )
| ( sK8(sK9(xk),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0)
| ~ aNaturalNumber0(sK8(sK9(xk),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16269,c_8359]) ).
tcf(c_16316,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK9(xk),X0))
| ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK9(xk),sz00))
| ~ sdtlseqdt0(sK8(sK9(xk),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16268,c_8359]) ).
tcf(c_16444,plain,
( ( sz10 = sz00 )
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ( sK6(xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_8898,c_83]) ).
tcf(c_16446,plain,
( sdtlseqdt0(sz10,sK6(xk))
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk))) ),
inference(superposition,[status(thm)],[c_8898,c_78]) ).
tcf(c_16449,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK8(sz10,sK6(xk)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ~ sdtlseqdt0(sK8(sz10,sK6(xk)),X0) ),
inference(superposition,[status(thm)],[c_8898,c_80]) ).
tcf(c_16450,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(X0,sK8(sz10,sK6(xk))))
| ( X0 = sz10 )
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk))) ),
inference(superposition,[status(thm)],[c_8898,c_82]) ).
tcf(c_16451,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK8(sz10,sK6(xk)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ( sdtasdt0(sz10,X0) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_8898,c_86]) ).
tcf(c_16452,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK6(xk))
| ( sz10 = sz00 )
| ( sK8(sz10,sK6(xk)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ~ sdtlseqdt0(X0,sK8(sz10,sK6(xk))) ),
inference(superposition,[status(thm)],[c_8898,c_80]) ).
tcf(c_16453,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ( sdtasdt0(X0,sK8(sz10,sK6(xk))) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_8898,c_87]) ).
tcf(c_16454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sK6(xk))),sK6(xk))
| ( X0 = sz10 )
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk))) ),
inference(superposition,[status(thm)],[c_8898,c_82]) ).
tcf(c_16456,plain,
( sdtlseqdt0(sz10,sK6(xk))
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16446,c_96]) ).
tcf(c_16460,plain,
( ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ( sK6(xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16444,c_97,c_96]) ).
tcf(c_16464,plain,
! [X0: $i] :
( ( sK8(sz10,sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ( sdtasdt0(sz10,X0) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16451,c_97,c_96]) ).
tcf(c_16469,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ( sdtasdt0(X0,sK8(sz10,sK6(xk))) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16453,c_96]) ).
tcf(c_16475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sK6(xk))),sK6(xk))
| ( X0 = sz10 )
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16454,c_96]) ).
tcf(c_16482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK6(xk))
| ( sK8(sz10,sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ~ sdtlseqdt0(X0,sK8(sz10,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16452,c_97,c_96]) ).
tcf(c_16488,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(X0,sK8(sz10,sK6(xk))))
| ( X0 = sz10 )
| ( sK8(sz10,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16450,c_96]) ).
tcf(c_16495,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(sz10,X0))
| ( sK8(sz10,sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6(xk)))
| ~ sdtlseqdt0(sK8(sz10,sK6(xk)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16449,c_97,c_96]) ).
tcf(c_16854,plain,
( ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_6562,c_51]) ).
tcf(c_16922,plain,
( ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7956,c_51]) ).
tcf(c_16955,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(sz00,X0))
| ( sK10(sz00,sK6(xk)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ~ sdtlseqdt0(sK10(sz00,sK6(xk)),X0) ),
inference(superposition,[status(thm)],[c_9531,c_119]) ).
tcf(c_16958,plain,
( ( sK10(sz00,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ( sK6(xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_9531,c_85]) ).
tcf(c_16961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sK6(xk))),sK6(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk))) ),
inference(superposition,[status(thm)],[c_9531,c_121]) ).
tcf(c_16962,plain,
! [X0: $i] :
( doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ~ doDivides0(X0,sK10(sz00,sK6(xk))) ),
inference(superposition,[status(thm)],[c_9531,c_109]) ).
tcf(c_16963,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sK6(xk)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(sK10(sz00,sK6(xk))) ),
inference(superposition,[status(thm)],[c_9531,c_108]) ).
tcf(c_16965,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(X0,sK10(sz00,sK6(xk))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk))) ),
inference(superposition,[status(thm)],[c_9531,c_121]) ).
tcf(c_16966,plain,
! [X0: $i] :
( ( sK10(sz00,sK6(xk)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ( sdtpldt0(sz00,X0) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_9531,c_130]) ).
tcf(c_16967,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6(xk))
| ( sK10(sz00,sK6(xk)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ~ sdtlseqdt0(X0,sK10(sz00,sK6(xk))) ),
inference(superposition,[status(thm)],[c_9531,c_119]) ).
tcf(c_16968,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ( sdtpldt0(X0,sK10(sz00,sK6(xk))) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_9531,c_131]) ).
tcf(c_16969,plain,
( ( sK10(sz00,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ( sK6(xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16958,c_92]) ).
tcf(c_16973,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ( sdtpldt0(X0,sK10(sz00,sK6(xk))) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16968,c_92]) ).
tcf(c_16978,plain,
! [X0: $i] :
( ( sK10(sz00,sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ( sdtpldt0(sz00,X0) != sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16966,c_92]) ).
tcf(c_16983,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sK6(xk)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(sK10(sz00,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16963,c_92]) ).
tcf(c_16989,plain,
! [X0: $i] :
( doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ~ doDivides0(X0,sK10(sz00,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16962,c_92]) ).
tcf(c_16995,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(X0,sK10(sz00,sK6(xk))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16965,c_92]) ).
tcf(c_17001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sK6(xk))),sK6(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16961,c_92]) ).
tcf(c_17007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6(xk))
| ( sK10(sz00,sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ~ sdtlseqdt0(X0,sK10(sz00,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16967,c_92]) ).
tcf(c_17013,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtpldt0(sz00,X0))
| ( sK10(sz00,sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK6(xk)))
| ~ sdtlseqdt0(sK10(sz00,sK6(xk)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16955,c_92]) ).
tcf(c_17026,plain,
( ( sz10 = sz00 )
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ( sK9(xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_9937,c_83]) ).
tcf(c_17028,plain,
( sdtlseqdt0(sz10,sK9(xk))
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk))) ),
inference(superposition,[status(thm)],[c_9937,c_78]) ).
tcf(c_17031,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(sz10,X0))
| ( sz10 = sz00 )
| ( sK8(sz10,sK9(xk)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ~ sdtlseqdt0(sK8(sz10,sK9(xk)),X0) ),
inference(superposition,[status(thm)],[c_9937,c_80]) ).
tcf(c_17032,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(X0,sK8(sz10,sK9(xk))))
| ( X0 = sz10 )
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk))) ),
inference(superposition,[status(thm)],[c_9937,c_82]) ).
tcf(c_17033,plain,
! [X0: $i] :
( ( sz10 = sz00 )
| ( sK8(sz10,sK9(xk)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ( sdtasdt0(sz10,X0) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_9937,c_86]) ).
tcf(c_17034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9(xk))
| ( sz10 = sz00 )
| ( sK8(sz10,sK9(xk)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ~ sdtlseqdt0(X0,sK8(sz10,sK9(xk))) ),
inference(superposition,[status(thm)],[c_9937,c_80]) ).
tcf(c_17035,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ( sdtasdt0(X0,sK8(sz10,sK9(xk))) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_9937,c_87]) ).
tcf(c_17036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sK9(xk))),sK9(xk))
| ( X0 = sz10 )
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk))) ),
inference(superposition,[status(thm)],[c_9937,c_82]) ).
tcf(c_17038,plain,
( sdtlseqdt0(sz10,sK9(xk))
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17028,c_96]) ).
tcf(c_17042,plain,
( ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ( sK9(xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17026,c_97,c_96]) ).
tcf(c_17046,plain,
! [X0: $i] :
( ( sK8(sz10,sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ( sdtasdt0(sz10,X0) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17033,c_97,c_96]) ).
tcf(c_17051,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ( sdtasdt0(X0,sK8(sz10,sK9(xk))) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17035,c_96]) ).
tcf(c_17057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz10,sK9(xk))),sK9(xk))
| ( X0 = sz10 )
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17036,c_96]) ).
tcf(c_17064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK9(xk))
| ( sK8(sz10,sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ~ sdtlseqdt0(X0,sK8(sz10,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17034,c_97,c_96]) ).
tcf(c_17070,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(X0,sK8(sz10,sK9(xk))))
| ( X0 = sz10 )
| ( sK8(sz10,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17032,c_96]) ).
tcf(c_17077,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(sz10,X0))
| ( sK8(sz10,sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK9(xk)))
| ~ sdtlseqdt0(sK8(sz10,sK9(xk)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17031,c_97,c_96]) ).
tcf(c_17132,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(sz00,X0))
| ( sK10(sz00,sK9(xk)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ~ sdtlseqdt0(sK10(sz00,sK9(xk)),X0) ),
inference(superposition,[status(thm)],[c_10071,c_119]) ).
tcf(c_17135,plain,
( ( sK10(sz00,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ( sK9(xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_10071,c_85]) ).
tcf(c_17138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sK9(xk))),sK9(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk))) ),
inference(superposition,[status(thm)],[c_10071,c_121]) ).
tcf(c_17139,plain,
! [X0: $i] :
( doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ~ doDivides0(X0,sK10(sz00,sK9(xk))) ),
inference(superposition,[status(thm)],[c_10071,c_109]) ).
tcf(c_17140,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sK9(xk)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sK10(sz00,sK9(xk))) ),
inference(superposition,[status(thm)],[c_10071,c_108]) ).
tcf(c_17142,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(X0,sK10(sz00,sK9(xk))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk))) ),
inference(superposition,[status(thm)],[c_10071,c_121]) ).
tcf(c_17143,plain,
! [X0: $i] :
( ( sK10(sz00,sK9(xk)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ( sdtpldt0(sz00,X0) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_10071,c_130]) ).
tcf(c_17144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK9(xk))
| ( sK10(sz00,sK9(xk)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ~ sdtlseqdt0(X0,sK10(sz00,sK9(xk))) ),
inference(superposition,[status(thm)],[c_10071,c_119]) ).
tcf(c_17145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ( sdtpldt0(X0,sK10(sz00,sK9(xk))) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_10071,c_131]) ).
tcf(c_17146,plain,
( ( sK10(sz00,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ( sK9(xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17135,c_92]) ).
tcf(c_17150,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ( sdtpldt0(X0,sK10(sz00,sK9(xk))) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17145,c_92]) ).
tcf(c_17155,plain,
! [X0: $i] :
( ( sK10(sz00,sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ( sdtpldt0(sz00,X0) != sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17143,c_92]) ).
tcf(c_17160,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sz00,sK9(xk)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sK10(sz00,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17140,c_92]) ).
tcf(c_17166,plain,
! [X0: $i] :
( doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ~ doDivides0(X0,sK10(sz00,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17139,c_92]) ).
tcf(c_17172,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(X0,sK10(sz00,sK9(xk))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17142,c_92]) ).
tcf(c_17178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sz00,sK9(xk))),sK9(xk))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17138,c_92]) ).
tcf(c_17184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK9(xk))
| ( sK10(sz00,sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ~ sdtlseqdt0(X0,sK10(sz00,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17144,c_92]) ).
tcf(c_17190,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtpldt0(sz00,X0))
| ( sK10(sz00,sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sz00,sK9(xk)))
| ~ sdtlseqdt0(sK10(sz00,sK9(xk)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17132,c_92]) ).
tcf(c_17207,plain,
( doDivides0(sK2(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(xk))
| ~ iLess0(sK6(xk),xk)
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_55,c_8351]) ).
tcf(c_17208,plain,
( doDivides0(sK6(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ sP1(sK6(xk))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_74,c_8351]) ).
tcf(c_17209,plain,
( isPrime0(sK6(xk))
| doDivides0(sK9(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK9(sK6(xk))) ),
inference(superposition,[status(thm)],[c_114,c_8351]) ).
tcf(c_17210,plain,
( doDivides0(sK6(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7811,c_8351]) ).
tcf(c_17217,plain,
( doDivides0(sK6(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17208,c_6735]) ).
tcf(c_17222,plain,
( doDivides0(sK9(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK9(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17209,c_6737,c_7912]) ).
tcf(c_17227,plain,
( doDivides0(sK2(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ iLess0(sK6(xk),xk)
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17207,c_7912]) ).
tcf(c_17270,plain,
( doDivides0(sK6(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(global_subsumption_just,[status(thm)],[c_17217,c_61,c_60,c_6096,c_6328,c_17217]) ).
tcf(c_17279,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ doDivides0(X0,sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_17270,c_110]) ).
tcf(c_17280,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),sK8(sK6(sK6(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_17270,c_101]) ).
tcf(c_17283,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),sK8(sK6(sK6(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17280,c_92]) ).
tcf(c_17287,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ doDivides0(X0,sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17279,c_92]) ).
tcf(c_17293,plain,
( doDivides0(sK9(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK9(sK6(xk))) ),
inference(global_subsumption_just,[status(thm)],[c_17222,c_61,c_60,c_6096,c_6328,c_17222]) ).
tcf(c_17302,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6(xk)))
| ~ doDivides0(X0,sK9(sK6(xk))) ),
inference(superposition,[status(thm)],[c_17293,c_110]) ).
tcf(c_17303,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK9(sK6(xk)),sK8(sK9(sK6(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(sK6(xk))) ),
inference(superposition,[status(thm)],[c_17293,c_101]) ).
tcf(c_17306,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK9(sK6(xk)),sK8(sK9(sK6(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sK9(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17303,c_92]) ).
tcf(c_17310,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6(xk)))
| ~ doDivides0(X0,sK9(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17302,c_92]) ).
tcf(c_17423,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sK6(xk))))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11320,c_82]) ).
tcf(c_17426,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk)))
| ( sdtasdt0(X0,sdtasdt0(xk,sK6(xk))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11320,c_87]) ).
tcf(c_17427,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK6(xk))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11320,c_82]) ).
tcf(c_17429,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sK6(xk))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17426,c_92,c_11297]) ).
tcf(c_17434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK6(xk))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17427,c_92,c_11297]) ).
tcf(c_17440,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sK6(xk))))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17423,c_92,c_11297]) ).
tcf(c_17451,plain,
( doDivides0(sdtasdt0(xk,sK6(xk)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11321,c_275]) ).
tcf(c_17453,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK6(xk)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11321,c_80]) ).
tcf(c_17455,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk)))
| ( sdtasdt0(sdtasdt0(xk,sK6(xk)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11321,c_86]) ).
tcf(c_17456,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK6(xk)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_11321,c_80]) ).
tcf(c_17460,plain,
doDivides0(sdtasdt0(xk,sK6(xk)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17451,c_92,c_11297]) ).
tcf(c_17461,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sK6(xk)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17455,c_92,c_11297]) ).
tcf(c_17466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK6(xk)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17456,c_92,c_11297]) ).
tcf(c_17472,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK6(xk)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17453,c_92,c_11297]) ).
tcf(c_17479,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk)))
| ~ doDivides0(X0,sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_17460,c_110]) ).
tcf(c_17480,plain,
( ( sdtasdt0(sdtasdt0(xk,sK6(xk)),sK8(sdtasdt0(xk,sK6(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK6(xk))) ),
inference(superposition,[status(thm)],[c_17460,c_101]) ).
tcf(c_17483,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17479,c_92,c_11297]) ).
tcf(c_17487,plain,
sdtasdt0(sdtasdt0(xk,sK6(xk)),sK8(sdtasdt0(xk,sK6(xk)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17480,c_92,c_11297]) ).
tcf(c_17496,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sK9(xk))))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_14688,c_82]) ).
tcf(c_17499,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(X0,sdtasdt0(xk,sK9(xk))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14688,c_87]) ).
tcf(c_17500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK9(xk))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_14688,c_82]) ).
tcf(c_17502,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xk,sK9(xk))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17499,c_92,c_11479]) ).
tcf(c_17507,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xk,sK9(xk))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17500,c_92,c_11479]) ).
tcf(c_17513,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xk,sK9(xk))))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17496,c_92,c_11479]) ).
tcf(c_17524,plain,
( doDivides0(sdtasdt0(xk,sK9(xk)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_14689,c_275]) ).
tcf(c_17526,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK9(xk)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_14689,c_80]) ).
tcf(c_17528,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(sdtasdt0(xk,sK9(xk)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14689,c_86]) ).
tcf(c_17529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK9(xk)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_14689,c_80]) ).
tcf(c_17533,plain,
doDivides0(sdtasdt0(xk,sK9(xk)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17524,c_92,c_11479]) ).
tcf(c_17534,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xk,sK9(xk)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17528,c_92,c_11479]) ).
tcf(c_17539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xk,sK9(xk)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17529,c_92,c_11479]) ).
tcf(c_17545,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xk,sK9(xk)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17526,c_92,c_11479]) ).
tcf(c_17552,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ doDivides0(X0,sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_17533,c_110]) ).
tcf(c_17553,plain,
( ( sdtasdt0(sdtasdt0(xk,sK9(xk)),sK8(sdtasdt0(xk,sK9(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_17533,c_101]) ).
tcf(c_17556,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17552,c_92,c_11479]) ).
tcf(c_17560,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),sK8(sdtasdt0(xk,sK9(xk)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17553,c_92,c_11479]) ).
tcf(c_17640,plain,
( doDivides0(sK2(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK9(xk))
| ~ iLess0(sK9(xk),xk)
| ~ aNaturalNumber0(sK2(sK9(xk))) ),
inference(superposition,[status(thm)],[c_55,c_8737]) ).
tcf(c_17641,plain,
( doDivides0(sK6(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ sP1(sK9(xk))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_74,c_8737]) ).
tcf(c_17642,plain,
( isPrime0(sK9(xk))
| doDivides0(sK9(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_114,c_8737]) ).
tcf(c_17643,plain,
( doDivides0(sK6(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(xk)))
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_7861,c_8737]) ).
tcf(c_17650,plain,
( doDivides0(sK6(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17641,c_7130]) ).
tcf(c_17655,plain,
( doDivides0(sK9(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17642,c_7132,c_8359]) ).
tcf(c_17660,plain,
( doDivides0(sK2(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ iLess0(sK9(xk),xk)
| ~ aNaturalNumber0(sK2(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17640,c_8359]) ).
tcf(c_17753,plain,
( doDivides0(sK6(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(global_subsumption_just,[status(thm)],[c_17650,c_49,c_61,c_60,c_2189,c_17650]) ).
tcf(c_17762,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ doDivides0(X0,sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_17753,c_110]) ).
tcf(c_17763,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),sK8(sK6(sK9(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_17753,c_101]) ).
tcf(c_17766,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),sK8(sK6(sK9(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17763,c_92]) ).
tcf(c_17770,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ doDivides0(X0,sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17762,c_92]) ).
tcf(c_17776,plain,
( doDivides0(sK9(sK9(xk)),sz00)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(global_subsumption_just,[status(thm)],[c_17655,c_49,c_61,c_60,c_2189,c_17655]) ).
tcf(c_17785,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK9(xk)))
| ~ doDivides0(X0,sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_17776,c_110]) ).
tcf(c_17786,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK9(sK9(xk)),sK8(sK9(sK9(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_17776,c_101]) ).
tcf(c_17789,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK9(sK9(xk)),sK8(sK9(sK9(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17786,c_92]) ).
tcf(c_17793,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK9(xk)))
| ~ doDivides0(X0,sK9(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17785,c_92]) ).
tcf(c_17806,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X1,sz10)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_8899,c_110]) ).
tcf(c_17807,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK8(X0,sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_8899,c_101]) ).
tcf(c_17808,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sP0(sK6(xk))
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_8899,c_51]) ).
tcf(c_17809,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_8899,c_107]) ).
tcf(c_17811,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17809,c_7912]) ).
tcf(c_17821,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK8(X0,sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17807,c_7912]) ).
tcf(c_17825,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,sz10)
| ~ doDivides0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17806,c_7912]) ).
tcf(c_17845,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_9532,c_124]) ).
tcf(c_17846,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK10(X0,sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_9532,c_129]) ).
tcf(c_17847,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(superposition,[status(thm)],[c_9532,c_125]) ).
tcf(c_17848,plain,
! [X0: $i] :
( iLess0(X0,sK6(xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_9532,c_98]) ).
tcf(c_17849,plain,
! [X0: $i] :
( iLess0(X0,sK6(xk))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17848,c_7912]) ).
tcf(c_17854,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sK6(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17847,c_7912]) ).
tcf(c_17859,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK10(X0,sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17846,c_7912]) ).
tcf(c_17863,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17845,c_7912]) ).
tcf(c_17917,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X1,sz10)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_9938,c_110]) ).
tcf(c_17918,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK8(X0,sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_9938,c_101]) ).
tcf(c_17919,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sP0(sK9(xk))
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_9938,c_51]) ).
tcf(c_17920,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_9938,c_107]) ).
tcf(c_17922,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17920,c_8359]) ).
tcf(c_17932,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK8(X0,sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17918,c_8359]) ).
tcf(c_17936,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,sz10)
| ~ doDivides0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17917,c_8359]) ).
tcf(c_17951,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_10072,c_124]) ).
tcf(c_17952,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK10(X0,sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10072,c_129]) ).
tcf(c_17953,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(superposition,[status(thm)],[c_10072,c_125]) ).
tcf(c_17954,plain,
! [X0: $i] :
( iLess0(X0,sK9(xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10072,c_98]) ).
tcf(c_17955,plain,
! [X0: $i] :
( iLess0(X0,sK9(xk))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17954,c_8359]) ).
tcf(c_17960,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17953,c_8359]) ).
tcf(c_17965,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK10(X0,sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17952,c_8359]) ).
tcf(c_17969,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17951,c_8359]) ).
tcf(c_17975,plain,
doDivides0(sK6(xk),xk),
inference(global_subsumption_just,[status(thm)],[c_7885,c_61,c_60,c_6096,c_6516]) ).
tcf(c_17978,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_17975,c_110]) ).
tcf(c_17979,plain,
( ( sdtasdt0(sK6(xk),sK8(sK6(xk),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_17975,c_101]) ).
tcf(c_17981,plain,
( sdtlseqdt0(sK6(xk),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_17975,c_107]) ).
tcf(c_17983,plain,
sdtlseqdt0(sK6(xk),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_17981,c_60,c_49,c_7912]) ).
tcf(c_17984,plain,
sdtasdt0(sK6(xk),sK8(sK6(xk),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_17979,c_49,c_7912]) ).
tcf(c_17985,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17978,c_49,c_7912]) ).
tcf(c_18036,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(superposition,[status(thm)],[c_17983,c_124]) ).
tcf(c_18037,plain,
( ( sdtpldt0(sK6(xk),sK10(sK6(xk),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_17983,c_129]) ).
tcf(c_18038,plain,
( ( sK6(xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(xk,sK6(xk)) ),
inference(superposition,[status(thm)],[c_17983,c_125]) ).
tcf(c_18039,plain,
( iLess0(sK6(xk),xk)
| ( sK6(xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_17983,c_98]) ).
tcf(c_18040,plain,
iLess0(sK6(xk),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_18039,c_7852,c_49,c_7912]) ).
tcf(c_18041,plain,
~ sdtlseqdt0(xk,sK6(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_18038,c_7852,c_49,c_7912]) ).
tcf(c_18042,plain,
sdtpldt0(sK6(xk),sK10(sK6(xk),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_18037,c_49,c_7912]) ).
tcf(c_18043,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18036,c_49,c_7912]) ).
tcf(c_18047,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ( sdtasdt0(sK2(sK6(xk)),sK3(sK6(xk))) = sK6(xk) )
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_18040,c_54]) ).
tcf(c_18048,plain,
( isPrime0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_18040,c_59]) ).
tcf(c_18049,plain,
( sP0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_18040,c_58]) ).
tcf(c_18050,plain,
( aNaturalNumber0(sK3(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_18040,c_53]) ).
tcf(c_18051,plain,
( aNaturalNumber0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(xk)) ),
inference(superposition,[status(thm)],[c_18040,c_52]) ).
tcf(c_18052,plain,
( aNaturalNumber0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18051,c_7912]) ).
tcf(c_18056,plain,
( aNaturalNumber0(sK3(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18050,c_7912]) ).
tcf(c_18060,plain,
( sP0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18049,c_7912]) ).
tcf(c_18064,plain,
( isPrime0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18048,c_7912]) ).
tcf(c_18068,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ( sdtasdt0(sK2(sK6(xk)),sK3(sK6(xk))) = sK6(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18047,c_7912]) ).
tcf(c_18173,plain,
( aNaturalNumber0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_18052,c_61,c_60,c_6096,c_6328,c_18052]) ).
tcf(c_18179,plain,
! [X0: $i,X1: $i] :
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sdtasdt0(sK2(sK6(xk)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK2(sK6(xk)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18173,c_103]) ).
tcf(c_18180,plain,
! [X0: $i,X1: $i] :
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK2(sK6(xk))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK2(sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18173,c_102]) ).
tcf(c_18181,plain,
! [X0: $i,X1: $i] :
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sK2(sK6(xk))),X0) = sdtpldt0(X1,sdtpldt0(sK2(sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18173,c_132]) ).
tcf(c_18182,plain,
! [X0: $i,X1: $i] :
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sdtasdt0(X1,sK2(sK6(xk))),X0) = sdtasdt0(X1,sdtasdt0(sK2(sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18173,c_104]) ).
tcf(c_18183,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK2(sK6(xk)),xk) = sdtasdt0(xk,sK2(sK6(xk))) ) ),
inference(superposition,[status(thm)],[c_18173,c_6275]) ).
tcf(c_18184,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sK2(sK6(xk)),X0) = sdtpldt0(X0,sK2(sK6(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18173,c_133]) ).
tcf(c_18185,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK2(sK6(xk)),X0) = sdtasdt0(X0,sK2(sK6(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18173,c_105]) ).
tcf(c_18186,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sz10,sK2(sK6(xk))) = sK2(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_18173,c_95]) ).
tcf(c_18187,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK2(sK6(xk)),sz10) = sK2(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_18173,c_94]) ).
tcf(c_18188,plain,
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sz00,sK2(sK6(xk))) = sK2(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_18173,c_91]) ).
tcf(c_18189,plain,
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sK2(sK6(xk)),sz00) = sK2(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_18173,c_90]) ).
tcf(c_18190,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sz00,sK2(sK6(xk))) = sz00 ) ),
inference(superposition,[status(thm)],[c_18173,c_89]) ).
tcf(c_18191,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK2(sK6(xk)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_18173,c_88]) ).
tcf(c_18320,plain,
( aNaturalNumber0(sK3(sK6(xk)))
| ( sK6(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_18056,c_61,c_60,c_6096,c_6328,c_18056]) ).
tcf(c_18326,plain,
! [X0: $i,X1: $i] :
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sdtasdt0(sK3(sK6(xk)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK3(sK6(xk)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18320,c_103]) ).
tcf(c_18327,plain,
! [X0: $i,X1: $i] :
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK3(sK6(xk))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK3(sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18320,c_102]) ).
tcf(c_18328,plain,
! [X0: $i,X1: $i] :
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sK3(sK6(xk))),X0) = sdtpldt0(X1,sdtpldt0(sK3(sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18320,c_132]) ).
tcf(c_18329,plain,
! [X0: $i,X1: $i] :
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sdtasdt0(X1,sK3(sK6(xk))),X0) = sdtasdt0(X1,sdtasdt0(sK3(sK6(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18320,c_104]) ).
tcf(c_18330,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK3(sK6(xk)),xk) = sdtasdt0(xk,sK3(sK6(xk))) ) ),
inference(superposition,[status(thm)],[c_18320,c_6275]) ).
tcf(c_18331,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sK3(sK6(xk)),X0) = sdtpldt0(X0,sK3(sK6(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18320,c_133]) ).
tcf(c_18332,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK3(sK6(xk)),X0) = sdtasdt0(X0,sK3(sK6(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18320,c_105]) ).
tcf(c_18333,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sz10,sK3(sK6(xk))) = sK3(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_18320,c_95]) ).
tcf(c_18334,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK3(sK6(xk)),sz10) = sK3(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_18320,c_94]) ).
tcf(c_18335,plain,
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sz00,sK3(sK6(xk))) = sK3(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_18320,c_91]) ).
tcf(c_18336,plain,
( ( sK6(xk) = sz00 )
| ( sdtpldt0(sK3(sK6(xk)),sz00) = sK3(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_18320,c_90]) ).
tcf(c_18337,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sz00,sK3(sK6(xk))) = sz00 ) ),
inference(superposition,[status(thm)],[c_18320,c_89]) ).
tcf(c_18338,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK3(sK6(xk)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_18320,c_88]) ).
tcf(c_18418,plain,
( sP0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_18060,c_61,c_60,c_6096,c_6328,c_18060]) ).
tcf(c_18424,plain,
( isPrime0(sK2(sK6(xk)))
| ( sK6(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_18064,c_61,c_60,c_6096,c_6328,c_18064]) ).
tcf(c_18430,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK2(sK6(xk)),sK3(sK6(xk))) = sK6(xk) ) ),
inference(global_subsumption_just,[status(thm)],[c_18068,c_61,c_60,c_6096,c_6328,c_18068]) ).
tcf(c_18439,plain,
( ( sK6(xk) = sz00 )
| ( sK2(sK6(xk)) = sz10 )
| ( sdtasdt0(sK2(sK6(xk)),sK3(sK6(xk))) = sK2(sK6(xk)) )
| ~ sP0(sK6(xk))
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_18430,c_50]) ).
tcf(c_18440,plain,
( sdtlseqdt0(sK2(sK6(xk)),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK3(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_18430,c_78]) ).
tcf(c_18441,plain,
( doDivides0(sK2(sK6(xk)),sK6(xk))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_18430,c_275]) ).
tcf(c_18443,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(sK2(sK6(xk)),X0))
| ( sK6(xk) = sz00 )
| ( sK3(sK6(xk)) = X0 )
| ( sK2(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk)))
| ~ sdtlseqdt0(sK3(sK6(xk)),X0) ),
inference(superposition,[status(thm)],[c_18430,c_80]) ).
tcf(c_18444,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(xk),sdtasdt0(X0,sK3(sK6(xk))))
| ( sK6(xk) = sz00 )
| ( sK3(sK6(xk)) = sz00 )
| ( sK2(sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk)))
| ~ sdtlseqdt0(sK2(sK6(xk)),X0) ),
inference(superposition,[status(thm)],[c_18430,c_82]) ).
tcf(c_18445,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK3(sK6(xk)) = X0 )
| ( sK2(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk)))
| ( sdtasdt0(sK2(sK6(xk)),X0) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_18430,c_86]) ).
tcf(c_18446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2(sK6(xk)),X0),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK3(sK6(xk)) = X0 )
| ( sK2(sK6(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk)))
| ~ sdtlseqdt0(X0,sK3(sK6(xk))) ),
inference(superposition,[status(thm)],[c_18430,c_80]) ).
tcf(c_18447,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK3(sK6(xk)) = sz00 )
| ( sK2(sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk)))
| ( sdtasdt0(X0,sK3(sK6(xk))) != sK6(xk) ) ),
inference(superposition,[status(thm)],[c_18430,c_87]) ).
tcf(c_18448,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK6(xk))),sK6(xk))
| ( sK6(xk) = sz00 )
| ( sK3(sK6(xk)) = sz00 )
| ( sK2(sK6(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK6(xk)))
| ~ aNaturalNumber0(sK2(sK6(xk)))
| ~ sdtlseqdt0(X0,sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_18430,c_82]) ).
tcf(c_18524,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK6(xk),X0))
| ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),xk))
| ~ sdtlseqdt0(sK8(sK6(xk),xk),X0) ),
inference(superposition,[status(thm)],[c_17984,c_80]) ).
tcf(c_18525,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sK6(xk),xk)))
| ( sK6(xk) = X0 )
| ( sK8(sK6(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0)
| ~ aNaturalNumber0(sK8(sK6(xk),xk)) ),
inference(superposition,[status(thm)],[c_17984,c_82]) ).
tcf(c_18526,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),xk))
| ( sdtasdt0(sK6(xk),X0) != xk ) ),
inference(superposition,[status(thm)],[c_17984,c_86]) ).
tcf(c_18527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),xk)
| ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),xk))
| ~ sdtlseqdt0(X0,sK8(sK6(xk),xk)) ),
inference(superposition,[status(thm)],[c_17984,c_80]) ).
tcf(c_18528,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ( sK8(sK6(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),xk))
| ( sdtasdt0(X0,sK8(sK6(xk),xk)) != xk ) ),
inference(superposition,[status(thm)],[c_17984,c_87]) ).
tcf(c_18529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK6(xk),xk)),xk)
| ( sK6(xk) = X0 )
| ( sK8(sK6(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),xk)) ),
inference(superposition,[status(thm)],[c_17984,c_82]) ).
tcf(c_18531,plain,
! [X0: $i] :
( ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6(xk),xk))
| ( sdtasdt0(sK6(xk),X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18526,c_7912]) ).
tcf(c_18537,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ( sK8(sK6(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6(xk),xk))
| ( sdtasdt0(X0,sK8(sK6(xk),xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18528,c_7912]) ).
tcf(c_18543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK6(xk),xk)),xk)
| ( sK6(xk) = X0 )
| ( sK8(sK6(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(sK8(sK6(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18529,c_7912]) ).
tcf(c_18550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(xk),X0),xk)
| ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6(xk),xk))
| ~ sdtlseqdt0(X0,sK8(sK6(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18527,c_7912]) ).
tcf(c_18557,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sK6(xk),xk)))
| ( sK6(xk) = X0 )
| ( sK8(sK6(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6(xk),X0)
| ~ aNaturalNumber0(sK8(sK6(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18525,c_7912]) ).
tcf(c_18564,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK6(xk),X0))
| ( sK6(xk) = sz00 )
| ( sK8(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6(xk),xk))
| ~ sdtlseqdt0(sK8(sK6(xk),xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18524,c_7912]) ).
tcf(c_18612,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sK6(xk),X0))
| ( sK10(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ~ sdtlseqdt0(sK10(sK6(xk),xk),X0) ),
inference(superposition,[status(thm)],[c_18042,c_119]) ).
tcf(c_18618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK6(xk),xk)),xk)
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk)) ),
inference(superposition,[status(thm)],[c_18042,c_121]) ).
tcf(c_18619,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ~ doDivides0(X0,sK10(sK6(xk),xk)) ),
inference(superposition,[status(thm)],[c_18042,c_109]) ).
tcf(c_18620,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK6(xk),xk))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk)) ),
inference(superposition,[status(thm)],[c_18042,c_108]) ).
tcf(c_18622,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sK6(xk),xk)))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ sdtlseqdt0(sK6(xk),X0)
| ~ aNaturalNumber0(sK10(sK6(xk),xk)) ),
inference(superposition,[status(thm)],[c_18042,c_121]) ).
tcf(c_18623,plain,
! [X0: $i] :
( ( sK10(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ( sdtpldt0(sK6(xk),X0) != xk ) ),
inference(superposition,[status(thm)],[c_18042,c_130]) ).
tcf(c_18624,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6(xk),X0),xk)
| ( sK10(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ~ sdtlseqdt0(X0,sK10(sK6(xk),xk)) ),
inference(superposition,[status(thm)],[c_18042,c_119]) ).
tcf(c_18625,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ( sdtpldt0(X0,sK10(sK6(xk),xk)) != xk ) ),
inference(superposition,[status(thm)],[c_18042,c_131]) ).
tcf(c_18626,plain,
! [X0: $i] :
( ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ( sdtpldt0(X0,sK10(sK6(xk),xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18625,c_7912]) ).
tcf(c_18631,plain,
! [X0: $i] :
( ( sK10(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ( sdtpldt0(sK6(xk),X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18623,c_7912]) ).
tcf(c_18636,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK6(xk),xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18620,c_7912]) ).
tcf(c_18643,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sK6(xk),xk)))
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6(xk),X0)
| ~ aNaturalNumber0(sK10(sK6(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18622,c_7912]) ).
tcf(c_18649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK6(xk),xk)),xk)
| ( sK6(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6(xk))
| ~ aNaturalNumber0(sK10(sK6(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18618,c_7912]) ).
tcf(c_18655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6(xk),X0),xk)
| ( sK10(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ~ sdtlseqdt0(X0,sK10(sK6(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18624,c_7912]) ).
tcf(c_18661,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sK6(xk),X0))
| ( sK10(sK6(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK6(xk),xk))
| ~ sdtlseqdt0(sK10(sK6(xk),xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18612,c_7912]) ).
tcf(c_18679,plain,
( doDivides0(sK2(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(xk))
| ~ iLess0(sK6(xk),xk)
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_55,c_17985]) ).
tcf(c_18680,plain,
( doDivides0(sK6(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ sP1(sK6(xk))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_74,c_17985]) ).
tcf(c_18681,plain,
( isPrime0(sK6(xk))
| doDivides0(sK9(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(xk))
| ~ aNaturalNumber0(sK9(sK6(xk))) ),
inference(superposition,[status(thm)],[c_114,c_17985]) ).
tcf(c_18682,plain,
( doDivides0(sK6(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(xk)))
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_7811,c_17985]) ).
tcf(c_18690,plain,
( doDivides0(sK6(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18680,c_6735]) ).
tcf(c_18695,plain,
( doDivides0(sK9(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK9(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18681,c_6737,c_7912]) ).
tcf(c_18700,plain,
( doDivides0(sK2(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18679,c_7912,c_18040]) ).
tcf(c_18712,plain,
( ( sz00 = sK4 )
| ( sK2(sK4) = sz10 )
| ( sdtasdt0(sK2(sK4),xk) = sK2(sK4) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK4))
| ~ sP0(sdtasdt0(xk,sK2(sK4))) ),
inference(superposition,[status(thm)],[c_7144,c_50]) ).
tcf(c_18745,plain,
( ( sz00 = sK4 )
| ( sK2(sK4) = sz10 )
| ( sdtasdt0(sK2(sK4),xk) = sK2(sK4) )
| ~ aNaturalNumber0(sK2(sK4))
| ~ sP0(sdtasdt0(xk,sK2(sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18712,c_49]) ).
tcf(c_18816,plain,
( doDivides0(sK6(sK5),sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ sP1(sK5)
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_74,c_8032]) ).
tcf(c_18844,plain,
( doDivides0(sK6(sK4),sz00)
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ sP1(sK4)
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_74,c_8036]) ).
tcf(c_18848,plain,
( doDivides0(sK6(sK4),sz00)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18844,c_62,c_5889]) ).
tcf(c_18852,plain,
( doDivides0(sK9(sK4),sz00)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18845,c_5902,c_62,c_64]) ).
tcf(c_18921,plain,
( doDivides0(sK6(sK4),xk)
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ sP1(sK4)
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_74,c_8044]) ).
tcf(c_18925,plain,
( doDivides0(sK6(sK4),xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18921,c_62,c_5889]) ).
tcf(c_18929,plain,
( doDivides0(sK9(sK4),xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18922,c_5902,c_62,c_64]) ).
tcf(c_19043,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK4))
| ~ doDivides0(X0,sK6(sK4)) ),
inference(superposition,[status(thm)],[c_18848,c_110]) ).
tcf(c_19044,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK6(sK4),sK8(sK6(sK4),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_18848,c_101]) ).
tcf(c_19047,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK6(sK4),sK8(sK6(sK4),sz00)) = sz00 )
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19044,c_92]) ).
tcf(c_19051,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK4))
| ~ doDivides0(X0,sK6(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19043,c_92]) ).
tcf(c_19064,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK4))
| ~ doDivides0(X0,sK6(sK4)) ),
inference(superposition,[status(thm)],[c_18925,c_110]) ).
tcf(c_19065,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK6(sK4),sK8(sK6(sK4),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_18925,c_101]) ).
tcf(c_19067,plain,
( sdtlseqdt0(sK6(sK4),xk)
| ( sz00 = sK4 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_18925,c_107]) ).
tcf(c_19069,plain,
( sP1(sK6(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_18925,c_77]) ).
tcf(c_19073,plain,
( sdtlseqdt0(sK6(sK4),xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19067,c_60,c_49]) ).
tcf(c_19077,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK6(sK4),sK8(sK6(sK4),xk)) = xk )
| ~ aNaturalNumber0(sK6(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19065,c_49]) ).
tcf(c_19081,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK4))
| ~ doDivides0(X0,sK6(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19064,c_49]) ).
tcf(c_19094,plain,
( sP1(sK6(sK4))
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ sP1(sK4) ),
inference(superposition,[status(thm)],[c_71,c_19069]) ).
tcf(c_19095,plain,
( sP1(sK6(sK4))
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19094,c_62,c_5889]) ).
tcf(c_19104,plain,
( ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sdtasdt0(sK6(sK6(sK4)),sK7(sK6(sK4))) = sK6(sK4) ) ),
inference(superposition,[status(thm)],[c_19095,c_73]) ).
tcf(c_19105,plain,
( ( sz00 = sK4 )
| ~ isPrime0(sK6(sK4)) ),
inference(superposition,[status(thm)],[c_19095,c_75]) ).
tcf(c_19150,plain,
( doDivides0(sK6(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(global_subsumption_just,[status(thm)],[c_18690,c_61,c_60,c_6096,c_6328,c_18690]) ).
tcf(c_19159,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ doDivides0(X0,sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19150,c_110]) ).
tcf(c_19160,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),sK8(sK6(sK6(xk)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19150,c_101]) ).
tcf(c_19162,plain,
( sdtlseqdt0(sK6(sK6(xk)),xk)
| ( xk = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19150,c_107]) ).
tcf(c_19164,plain,
( sP1(sK6(sK6(xk)))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19150,c_77]) ).
tcf(c_19168,plain,
( sdtlseqdt0(sK6(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19162,c_60,c_49]) ).
tcf(c_19172,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK6(sK6(xk)),sK8(sK6(sK6(xk)),xk)) = xk )
| ~ aNaturalNumber0(sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19160,c_49]) ).
tcf(c_19176,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK6(xk)))
| ~ doDivides0(X0,sK6(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19159,c_49]) ).
tcf(c_19225,plain,
( sP1(sK6(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ~ sP1(sK6(xk)) ),
inference(superposition,[status(thm)],[c_71,c_19164]) ).
tcf(c_19226,plain,
( sP1(sK6(sK6(xk)))
| ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19225,c_6735]) ).
tcf(c_19230,plain,
( sP1(sK6(sK6(xk)))
| ( sK6(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_19226,c_61,c_60,c_6096,c_6328,c_19226]) ).
tcf(c_19236,plain,
( ( sK6(xk) = sz00 )
| ( sK6(sK6(xk)) = sz00 )
| ( sK6(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(sK6(xk))),sK7(sK6(sK6(xk)))) = sK6(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_19230,c_73]) ).
tcf(c_19237,plain,
( ( sK6(xk) = sz00 )
| ~ isPrime0(sK6(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19230,c_75]) ).
tcf(c_19391,plain,
( ( sK6(xk) = sz00 )
| ( sK6(xk) = sz10 )
| ( sdtasdt0(sK6(sK6(xk)),sK7(sK6(xk))) = sK6(xk) ) ),
inference(superposition,[status(thm)],[c_13591,c_73]) ).
tcf(c_19718,plain,
( doDivides0(sK2(sK6(xk)),xk)
| ( sK6(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_18700,c_61,c_60,c_6096,c_6328,c_18052,c_18700]) ).
tcf(c_19725,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK6(xk)))
| ~ doDivides0(X0,sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19718,c_110]) ).
tcf(c_19726,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK2(sK6(xk)),sK8(sK2(sK6(xk)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19718,c_101]) ).
tcf(c_19728,plain,
( sdtlseqdt0(sK2(sK6(xk)),xk)
| ( xk = sz00 )
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19718,c_107]) ).
tcf(c_19729,plain,
( doDivides0(sK2(sK6(xk)),sz00)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19718,c_8040]) ).
tcf(c_19730,plain,
( sP1(sK2(sK6(xk)))
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19718,c_77]) ).
tcf(c_19737,plain,
( sdtlseqdt0(sK2(sK6(xk)),xk)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19728,c_60,c_49]) ).
tcf(c_19741,plain,
( ( sK6(xk) = sz00 )
| ( sdtasdt0(sK2(sK6(xk)),sK8(sK2(sK6(xk)),xk)) = xk )
| ~ aNaturalNumber0(sK2(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19726,c_49]) ).
tcf(c_19745,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sK6(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(sK6(xk)))
| ~ doDivides0(X0,sK2(sK6(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19725,c_49]) ).
tcf(c_19754,plain,
( sP1(sK2(sK6(xk)))
| ( sK6(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_19730,c_61,c_60,c_6096,c_6328,c_18052,c_19730]) ).
tcf(c_19760,plain,
( ( sK6(xk) = sz00 )
| ( sK2(sK6(xk)) = sz00 )
| ( sK2(sK6(xk)) = sz10 )
| ( sdtasdt0(sK6(sK2(sK6(xk))),sK7(sK2(sK6(xk)))) = sK2(sK6(xk)) ) ),
inference(superposition,[status(thm)],[c_19754,c_73]) ).
tcf(c_19761,plain,
( ( sK6(xk) = sz00 )
| ~ isPrime0(sK2(sK6(xk))) ),
inference(superposition,[status(thm)],[c_19754,c_75]) ).
tcf(c_19781,plain,
sK6(xk) = sz00,
inference(global_subsumption_just,[status(thm)],[c_19391,c_61,c_60,c_6096,c_6328,c_18064,c_19761]) ).
tcf(c_19790,plain,
sK6(xk) = sz00,
inference(global_subsumption_just,[status(thm)],[c_19761,c_19781]) ).
tcf(c_19793,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00) ),
inference(demodulation,[status(thm)],[c_17985,c_19790]) ).
tcf(c_19795,plain,
sdtasdt0(sz00,sK8(sz00,xk)) = xk,
inference(demodulation,[status(thm)],[c_17984,c_19790]) ).
tcf(c_19800,plain,
doDivides0(sz00,xk),
inference(demodulation,[status(thm)],[c_17975,c_19790]) ).
tcf(c_19803,plain,
doDivides0(sdtasdt0(xk,sz00),sz00),
inference(demodulation,[status(thm)],[c_17460,c_19790]) ).
tcf(c_19804,plain,
sdtasdt0(sdtasdt0(xk,sz00),sz00) = sz00,
inference(demodulation,[status(thm)],[c_11321,c_19790]) ).
tcf(c_19805,plain,
sdtasdt0(sz00,sdtasdt0(xk,sz00)) = sz00,
inference(demodulation,[status(thm)],[c_11320,c_19790]) ).
tcf(c_19819,plain,
sdtlseqdt0(sz00,sdtasdt0(xk,sz00)),
inference(demodulation,[status(thm)],[c_11299,c_19790]) ).
tcf(c_19820,plain,
doDivides0(sz00,sdtasdt0(xk,sz00)),
inference(demodulation,[status(thm)],[c_11298,c_19790]) ).
tcf(c_19821,plain,
aNaturalNumber0(sdtasdt0(xk,sz00)),
inference(demodulation,[status(thm)],[c_11297,c_19790]) ).
tcf(c_19837,plain,
sdtasdt0(sz00,sK7(xk)) = xk,
inference(demodulation,[status(thm)],[c_7770,c_19790]) ).
tcf(c_19841,plain,
sP1(sz00),
inference(demodulation,[status(thm)],[c_6735,c_19790]) ).
tcf(c_19860,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19800,c_110]) ).
tcf(c_19875,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK7(xk)))
| ( X0 = sz00 )
| ( sK7(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_19837,c_82]) ).
tcf(c_19878,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK7(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ( sdtasdt0(X0,sK7(xk)) != xk ) ),
inference(superposition,[status(thm)],[c_19837,c_87]) ).
tcf(c_19879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xk)),xk)
| ( X0 = sz00 )
| ( sK7(xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_19837,c_82]) ).
tcf(c_19881,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK7(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ( sdtasdt0(X0,sK7(xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19878,c_92]) ).
tcf(c_19887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(xk)),xk)
| ( X0 = sz00 )
| ( sK7(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19879,c_92]) ).
tcf(c_19894,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK7(xk)))
| ( X0 = sz00 )
| ( sK7(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(xk))
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19875,c_92]) ).
tcf(c_19909,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sz00,xk)))
| ( X0 = sz00 )
| ( sK8(sz00,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xk)) ),
inference(superposition,[status(thm)],[c_19795,c_82]) ).
tcf(c_19912,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK8(sz00,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xk))
| ( sdtasdt0(X0,sK8(sz00,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_19795,c_87]) ).
tcf(c_19913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz00,xk)),xk)
| ( X0 = sz00 )
| ( sK8(sz00,xk) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xk)) ),
inference(superposition,[status(thm)],[c_19795,c_82]) ).
tcf(c_19915,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK8(sz00,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xk))
| ( sdtasdt0(X0,sK8(sz00,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19912,c_92]) ).
tcf(c_19921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sz00,xk)),xk)
| ( X0 = sz00 )
| ( sK8(sz00,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19913,c_92]) ).
tcf(c_19928,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sz00,xk)))
| ( X0 = sz00 )
| ( sK8(sz00,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19909,c_92]) ).
tcf(c_19942,plain,
( ( sz00 = sK4 )
| ( sK2(sK4) = sz10 )
| ( sdtasdt0(sK2(sK4),sz10) = sK2(sK4) )
| ~ aNaturalNumber0(sz10)
| ~ sP0(sK2(sK4))
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(superposition,[status(thm)],[c_7148,c_50]) ).
tcf(c_19966,plain,
( ( sz00 = sK4 )
| ( sK2(sK4) = sz10 )
| ( sdtasdt0(sK2(sK4),sz10) = sK2(sK4) )
| ~ sP0(sK2(sK4))
| ~ aNaturalNumber0(sK2(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19942,c_96]) ).
tcf(c_20186,plain,
( doDivides0(sK5,xk)
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_5960,c_19793]) ).
tcf(c_20188,plain,
( doDivides0(sdtasdt0(xk,sK4),xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_6953,c_19793]) ).
tcf(c_20189,plain,
( doDivides0(sdtasdt0(xk,sK5),xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_7197,c_19793]) ).
tcf(c_20190,plain,
( doDivides0(sK9(xk),xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_8510,c_19793]) ).
tcf(c_20191,plain,
( doDivides0(sdtasdt0(xk,sK9(xk)),xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_17533,c_19793]) ).
tcf(c_20192,plain,
( doDivides0(sK6(sK9(xk)),xk)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_17753,c_19793]) ).
tcf(c_20193,plain,
( doDivides0(sK9(sK9(xk)),xk)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_17776,c_19793]) ).
tcf(c_20194,plain,
( doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_18114,c_19793]) ).
tcf(c_20196,plain,
( doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20144,c_19793]) ).
tcf(c_20197,plain,
doDivides0(sK5,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20186,c_65]) ).
tcf(c_20198,plain,
doDivides0(sK9(xk),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20190,c_8359]) ).
tcf(c_20199,plain,
doDivides0(sdtasdt0(xk,sK5),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20189,c_6553]) ).
tcf(c_20200,plain,
doDivides0(sdtasdt0(xk,sK4),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20188,c_6521]) ).
tcf(c_20201,plain,
doDivides0(sdtasdt0(xk,sK9(xk)),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20191,c_11479]) ).
tcf(c_20202,plain,
doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20196,c_7955]) ).
tcf(c_20203,plain,
doDivides0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20194,c_6561]) ).
tcf(c_20211,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5) ),
inference(superposition,[status(thm)],[c_20197,c_110]) ).
tcf(c_20212,plain,
( ( sdtasdt0(sK5,sK8(sK5,xk)) = xk )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_20197,c_101]) ).
tcf(c_20214,plain,
( sdtlseqdt0(sK5,xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_20197,c_107]) ).
tcf(c_20216,plain,
( sP1(sK5)
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_20197,c_77]) ).
tcf(c_20217,plain,
sP1(sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_20216,c_65]) ).
tcf(c_20218,plain,
sdtlseqdt0(sK5,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20214,c_60,c_65,c_49]) ).
tcf(c_20219,plain,
sdtasdt0(sK5,sK8(sK5,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_20212,c_65,c_49]) ).
tcf(c_20220,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20211,c_65,c_49]) ).
tcf(c_20224,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK6(sK5),sK7(sK5)) = sK5 ) ),
inference(superposition,[status(thm)],[c_20217,c_73]) ).
tcf(c_20225,plain,
~ isPrime0(sK5),
inference(superposition,[status(thm)],[c_20217,c_75]) ).
tcf(c_20246,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz10 )
| ( sdtasdt0(sK6(sK5),sK7(sK5)) = sK6(sK5) )
| ~ sP0(sK5)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20224,c_50]) ).
tcf(c_20247,plain,
( sdtlseqdt0(sK6(sK5),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20224,c_78]) ).
tcf(c_20248,plain,
( doDivides0(sK6(sK5),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20224,c_275]) ).
tcf(c_20249,plain,
( sP1(sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ( xk != sK5 ) ),
inference(superposition,[status(thm)],[c_20224,c_76]) ).
tcf(c_20250,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(sK6(sK5),X0))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK7(sK5),X0) ),
inference(superposition,[status(thm)],[c_20224,c_80]) ).
tcf(c_20251,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,sdtasdt0(X0,sK7(sK5)))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK6(sK5),X0) ),
inference(superposition,[status(thm)],[c_20224,c_82]) ).
tcf(c_20252,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ( sdtasdt0(sK6(sK5),X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_20224,c_86]) ).
tcf(c_20253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK5),X0),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK7(sK5)) ),
inference(superposition,[status(thm)],[c_20224,c_80]) ).
tcf(c_20254,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ( sdtasdt0(X0,sK7(sK5)) != sK5 ) ),
inference(superposition,[status(thm)],[c_20224,c_87]) ).
tcf(c_20255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK5)),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20224,c_82]) ).
tcf(c_20393,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK4))
| ~ doDivides0(X0,sK9(sK4)) ),
inference(superposition,[status(thm)],[c_18852,c_110]) ).
tcf(c_20394,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK9(sK4),sK8(sK9(sK4),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(superposition,[status(thm)],[c_18852,c_101]) ).
tcf(c_20398,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK9(sK4),sK8(sK9(sK4),sz00)) = sz00 )
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20394,c_92]) ).
tcf(c_20402,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK4))
| ~ doDivides0(X0,sK9(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20393,c_92]) ).
tcf(c_20415,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK4))
| ~ doDivides0(X0,sK9(sK4)) ),
inference(superposition,[status(thm)],[c_18929,c_110]) ).
tcf(c_20416,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK9(sK4),sK8(sK9(sK4),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(superposition,[status(thm)],[c_18929,c_101]) ).
tcf(c_20418,plain,
( sdtlseqdt0(sK9(sK4),xk)
| ( sz00 = sK4 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(superposition,[status(thm)],[c_18929,c_107]) ).
tcf(c_20420,plain,
( sP1(sK9(sK4))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(superposition,[status(thm)],[c_18929,c_77]) ).
tcf(c_20424,plain,
( sdtlseqdt0(sK9(sK4),xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20418,c_60,c_49]) ).
tcf(c_20428,plain,
( ( sz00 = sK4 )
| ( sdtasdt0(sK9(sK4),sK8(sK9(sK4),xk)) = xk )
| ~ aNaturalNumber0(sK9(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20416,c_49]) ).
tcf(c_20432,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sz00 = sK4 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK4))
| ~ doDivides0(X0,sK9(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20415,c_49]) ).
tcf(c_20444,plain,
( isPrime0(sK4)
| sP1(sK9(sK4))
| ( sz00 = sK4 )
| ( sz10 = sK4 )
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[status(thm)],[c_113,c_20420]) ).
tcf(c_20445,plain,
( sP1(sK9(sK4))
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20444,c_5902,c_62,c_64]) ).
tcf(c_20491,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_20218,c_124]) ).
tcf(c_20492,plain,
( ( sdtpldt0(sK5,sK10(sK5,xk)) = xk )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_20218,c_129]) ).
tcf(c_20493,plain,
( ( xk = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,sK5) ),
inference(superposition,[status(thm)],[c_20218,c_125]) ).
tcf(c_20494,plain,
( iLess0(sK5,xk)
| ( xk = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_20218,c_98]) ).
tcf(c_20495,plain,
( iLess0(sK5,xk)
| ( xk = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20494,c_65,c_49]) ).
tcf(c_20498,plain,
( ( xk = sK5 )
| ~ sdtlseqdt0(xk,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20493,c_65,c_49]) ).
tcf(c_20501,plain,
sdtpldt0(sK5,sK10(sK5,xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_20492,c_65,c_49]) ).
tcf(c_20502,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20491,c_65,c_49]) ).
tcf(c_20512,plain,
( ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sdtasdt0(sK6(sK9(sK4)),sK7(sK9(sK4))) = sK9(sK4) ) ),
inference(superposition,[status(thm)],[c_20445,c_73]) ).
tcf(c_20513,plain,
( ( sz00 = sK4 )
| ~ isPrime0(sK9(sK4)) ),
inference(superposition,[status(thm)],[c_20445,c_75]) ).
tcf(c_20546,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 )
| ( sdtasdt0(sK2(sK5),sK3(sK5)) = sK5 )
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_20495,c_54]) ).
tcf(c_20547,plain,
( isPrime0(sK2(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 )
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_20495,c_59]) ).
tcf(c_20548,plain,
( sP0(sK2(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 )
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_20495,c_58]) ).
tcf(c_20549,plain,
( aNaturalNumber0(sK3(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 )
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_20495,c_53]) ).
tcf(c_20550,plain,
( aNaturalNumber0(sK2(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 )
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_20495,c_52]) ).
tcf(c_20551,plain,
( aNaturalNumber0(sK2(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20550,c_65]) ).
tcf(c_20556,plain,
( aNaturalNumber0(sK3(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20549,c_65]) ).
tcf(c_20561,plain,
( sP0(sK2(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20548,c_65]) ).
tcf(c_20566,plain,
( isPrime0(sK2(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20547,c_65]) ).
tcf(c_20571,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sK5 )
| ( sdtasdt0(sK2(sK5),sK3(sK5)) = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20546,c_65]) ).
tcf(c_20593,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( sK8(sK5,xk) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,xk))
| ~ sdtlseqdt0(sK8(sK5,xk),X0) ),
inference(superposition,[status(thm)],[c_20219,c_80]) ).
tcf(c_20594,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sK5,xk)))
| ( X0 = sK5 )
| ( sK8(sK5,xk) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK8(sK5,xk)) ),
inference(superposition,[status(thm)],[c_20219,c_82]) ).
tcf(c_20595,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sK8(sK5,xk) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,xk))
| ( sdtasdt0(sK5,X0) != xk ) ),
inference(superposition,[status(thm)],[c_20219,c_86]) ).
tcf(c_20596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),xk)
| ( sz00 = sK5 )
| ( sK8(sK5,xk) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,xk))
| ~ sdtlseqdt0(X0,sK8(sK5,xk)) ),
inference(superposition,[status(thm)],[c_20219,c_80]) ).
tcf(c_20597,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( sK8(sK5,xk) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,xk))
| ( sdtasdt0(X0,sK8(sK5,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_20219,c_87]) ).
tcf(c_20598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK5,xk)),xk)
| ( X0 = sK5 )
| ( sK8(sK5,xk) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK8(sK5,xk)) ),
inference(superposition,[status(thm)],[c_20219,c_82]) ).
tcf(c_20600,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sK8(sK5,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,xk))
| ( sdtasdt0(sK5,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20595,c_65]) ).
tcf(c_20606,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( sK8(sK5,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,xk))
| ( sdtasdt0(X0,sK8(sK5,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20597,c_65]) ).
tcf(c_20612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK5,xk)),xk)
| ( X0 = sK5 )
| ( sK8(sK5,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK8(sK5,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20598,c_65]) ).
tcf(c_20619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK5,X0),xk)
| ( sz00 = sK5 )
| ( sK8(sK5,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,xk))
| ~ sdtlseqdt0(X0,sK8(sK5,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20596,c_65]) ).
tcf(c_20626,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sK5,xk)))
| ( X0 = sK5 )
| ( sK8(sK5,xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK8(sK5,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20594,c_65]) ).
tcf(c_20633,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK5,X0))
| ( sz00 = sK5 )
| ( sK8(sK5,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK5,xk))
| ~ sdtlseqdt0(sK8(sK5,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20593,c_65]) ).
tcf(c_20656,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_20198,c_110]) ).
tcf(c_20657,plain,
( ( sdtasdt0(sK9(xk),sK8(sK9(xk),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20198,c_101]) ).
tcf(c_20659,plain,
( sdtlseqdt0(sK9(xk),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20198,c_107]) ).
tcf(c_20662,plain,
sdtlseqdt0(sK9(xk),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20659,c_60,c_49,c_8359]) ).
tcf(c_20663,plain,
sdtasdt0(sK9(xk),sK8(sK9(xk),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_20657,c_49,c_8359]) ).
tcf(c_20664,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20656,c_49,c_8359]) ).
tcf(c_20805,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_20662,c_124]) ).
tcf(c_20806,plain,
( ( sdtpldt0(sK9(xk),sK10(sK9(xk),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20662,c_129]) ).
tcf(c_20807,plain,
( ( sK9(xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(xk,sK9(xk)) ),
inference(superposition,[status(thm)],[c_20662,c_125]) ).
tcf(c_20808,plain,
( iLess0(sK9(xk),xk)
| ( sK9(xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20662,c_98]) ).
tcf(c_20809,plain,
iLess0(sK9(xk),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20808,c_7882,c_49,c_8359]) ).
tcf(c_20810,plain,
~ sdtlseqdt0(xk,sK9(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_20807,c_7882,c_49,c_8359]) ).
tcf(c_20811,plain,
sdtpldt0(sK9(xk),sK10(sK9(xk),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_20806,c_49,c_8359]) ).
tcf(c_20812,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20805,c_49,c_8359]) ).
tcf(c_20816,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ( sdtasdt0(sK2(sK9(xk)),sK3(sK9(xk))) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20809,c_54]) ).
tcf(c_20817,plain,
( isPrime0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20809,c_59]) ).
tcf(c_20818,plain,
( sP0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20809,c_58]) ).
tcf(c_20819,plain,
( aNaturalNumber0(sK3(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20809,c_53]) ).
tcf(c_20820,plain,
( aNaturalNumber0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_20809,c_52]) ).
tcf(c_20821,plain,
( aNaturalNumber0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20820,c_8359]) ).
tcf(c_20825,plain,
( aNaturalNumber0(sK3(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20819,c_8359]) ).
tcf(c_20829,plain,
( sP0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20818,c_8359]) ).
tcf(c_20833,plain,
( isPrime0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20817,c_8359]) ).
tcf(c_20837,plain,
( ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ( sdtasdt0(sK2(sK9(xk)),sK3(sK9(xk))) = sK9(xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20816,c_8359]) ).
tcf(c_20865,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ doDivides0(X0,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_20199,c_110]) ).
tcf(c_20866,plain,
( ( sdtasdt0(sdtasdt0(xk,sK5),sK8(sdtasdt0(xk,sK5),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_20199,c_101]) ).
tcf(c_20868,plain,
( sdtlseqdt0(sdtasdt0(xk,sK5),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_20199,c_107]) ).
tcf(c_20870,plain,
( sP1(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_20199,c_77]) ).
tcf(c_20871,plain,
sP1(sdtasdt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_20870,c_6553]) ).
tcf(c_20872,plain,
sdtlseqdt0(sdtasdt0(xk,sK5),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_20868,c_60,c_49,c_6553]) ).
tcf(c_20873,plain,
sdtasdt0(sdtasdt0(xk,sK5),sK8(sdtasdt0(xk,sK5),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_20866,c_49,c_6553]) ).
tcf(c_20874,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20865,c_49,c_6553]) ).
tcf(c_20892,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK5)),sK7(sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_20871,c_73]) ).
tcf(c_20893,plain,
~ isPrime0(sdtasdt0(xk,sK5)),
inference(superposition,[status(thm)],[c_20871,c_75]) ).
tcf(c_20909,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK6(sdtasdt0(xk,sK5)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK5)),sK7(sdtasdt0(xk,sK5))) = sK6(sdtasdt0(xk,sK5)) )
| ~ sP0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20892,c_50]) ).
tcf(c_20910,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK7(sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20892,c_78]) ).
tcf(c_20911,plain,
( doDivides0(sK6(sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20892,c_275]) ).
tcf(c_20912,plain,
( sP1(sK6(sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sK5) != xk ) ),
inference(superposition,[status(thm)],[c_20892,c_76]) ).
tcf(c_20913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(sK6(sdtasdt0(xk,sK5)),X0))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK7(sdtasdt0(xk,sK5)) = X0 )
| ( sK6(sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(sK7(sdtasdt0(xk,sK5)),X0) ),
inference(superposition,[status(thm)],[c_20892,c_80]) ).
tcf(c_20914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK5),sdtasdt0(X0,sK7(sdtasdt0(xk,sK5))))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK7(sdtasdt0(xk,sK5)) = sz00 )
| ( sK6(sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(sK6(sdtasdt0(xk,sK5)),X0) ),
inference(superposition,[status(thm)],[c_20892,c_82]) ).
tcf(c_20915,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK7(sdtasdt0(xk,sK5)) = X0 )
| ( sK6(sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ( sdtasdt0(sK6(sdtasdt0(xk,sK5)),X0) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_20892,c_86]) ).
tcf(c_20916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sdtasdt0(xk,sK5)),X0),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK7(sdtasdt0(xk,sK5)) = X0 )
| ( sK6(sdtasdt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(X0,sK7(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20892,c_80]) ).
tcf(c_20917,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK7(sdtasdt0(xk,sK5)) = sz00 )
| ( sK6(sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ( sdtasdt0(X0,sK7(sdtasdt0(xk,sK5))) != sdtasdt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_20892,c_87]) ).
tcf(c_20918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sdtasdt0(xk,sK5))),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK7(sdtasdt0(xk,sK5)) = sz00 )
| ( sK6(sdtasdt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(X0,sK6(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20892,c_82]) ).
tcf(c_21030,plain,
( aNaturalNumber0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_20821,c_49,c_61,c_60,c_2189,c_20821]) ).
tcf(c_21036,plain,
! [X0: $i,X1: $i] :
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sdtasdt0(sK2(sK9(xk)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK2(sK9(xk)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21030,c_103]) ).
tcf(c_21037,plain,
! [X0: $i,X1: $i] :
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK2(sK9(xk))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK2(sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21030,c_102]) ).
tcf(c_21038,plain,
! [X0: $i,X1: $i] :
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sK2(sK9(xk))),X0) = sdtpldt0(X1,sdtpldt0(sK2(sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21030,c_132]) ).
tcf(c_21039,plain,
! [X0: $i,X1: $i] :
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sdtasdt0(X1,sK2(sK9(xk))),X0) = sdtasdt0(X1,sdtasdt0(sK2(sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21030,c_104]) ).
tcf(c_21040,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),xk) = sdtasdt0(xk,sK2(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21030,c_6275]) ).
tcf(c_21041,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sK2(sK9(xk)),X0) = sdtpldt0(X0,sK2(sK9(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21030,c_133]) ).
tcf(c_21042,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),X0) = sdtasdt0(X0,sK2(sK9(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21030,c_105]) ).
tcf(c_21043,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sz10,sK2(sK9(xk))) = sK2(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_21030,c_95]) ).
tcf(c_21044,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),sz10) = sK2(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_21030,c_94]) ).
tcf(c_21045,plain,
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sz00,sK2(sK9(xk))) = sK2(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_21030,c_91]) ).
tcf(c_21046,plain,
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sK2(sK9(xk)),sz00) = sK2(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_21030,c_90]) ).
tcf(c_21047,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sz00,sK2(sK9(xk))) = sz00 ) ),
inference(superposition,[status(thm)],[c_21030,c_89]) ).
tcf(c_21048,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_21030,c_88]) ).
tcf(c_21165,plain,
( aNaturalNumber0(sK3(sK9(xk)))
| ( sK9(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_20825,c_49,c_61,c_60,c_2189,c_20825]) ).
tcf(c_21171,plain,
! [X0: $i,X1: $i] :
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sdtasdt0(sK3(sK9(xk)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK3(sK9(xk)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21165,c_103]) ).
tcf(c_21172,plain,
! [X0: $i,X1: $i] :
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK3(sK9(xk))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sK3(sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21165,c_102]) ).
tcf(c_21173,plain,
! [X0: $i,X1: $i] :
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sdtpldt0(X1,sK3(sK9(xk))),X0) = sdtpldt0(X1,sdtpldt0(sK3(sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21165,c_132]) ).
tcf(c_21174,plain,
! [X0: $i,X1: $i] :
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sdtasdt0(X1,sK3(sK9(xk))),X0) = sdtasdt0(X1,sdtasdt0(sK3(sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21165,c_104]) ).
tcf(c_21175,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK3(sK9(xk)),xk) = sdtasdt0(xk,sK3(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21165,c_6275]) ).
tcf(c_21176,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sK3(sK9(xk)),X0) = sdtpldt0(X0,sK3(sK9(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21165,c_133]) ).
tcf(c_21177,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK3(sK9(xk)),X0) = sdtasdt0(X0,sK3(sK9(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21165,c_105]) ).
tcf(c_21178,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sz10,sK3(sK9(xk))) = sK3(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_21165,c_95]) ).
tcf(c_21179,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK3(sK9(xk)),sz10) = sK3(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_21165,c_94]) ).
tcf(c_21180,plain,
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sz00,sK3(sK9(xk))) = sK3(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_21165,c_91]) ).
tcf(c_21181,plain,
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sK3(sK9(xk)),sz00) = sK3(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_21165,c_90]) ).
tcf(c_21182,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sz00,sK3(sK9(xk))) = sz00 ) ),
inference(superposition,[status(thm)],[c_21165,c_89]) ).
tcf(c_21183,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK3(sK9(xk)),sz00) = sz00 ) ),
inference(superposition,[status(thm)],[c_21165,c_88]) ).
tcf(c_21268,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_20872,c_124]) ).
tcf(c_21269,plain,
( ( sdtpldt0(sdtasdt0(xk,sK5),sK10(sdtasdt0(xk,sK5),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_20872,c_129]) ).
tcf(c_21270,plain,
( ( sdtasdt0(xk,sK5) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_20872,c_125]) ).
tcf(c_21271,plain,
( iLess0(sdtasdt0(xk,sK5),xk)
| ( sdtasdt0(xk,sK5) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_20872,c_98]) ).
tcf(c_21272,plain,
( iLess0(sdtasdt0(xk,sK5),xk)
| ( sdtasdt0(xk,sK5) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21271,c_49,c_6553]) ).
tcf(c_21275,plain,
( ( sdtasdt0(xk,sK5) = xk )
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21270,c_49,c_6553]) ).
tcf(c_21278,plain,
sdtpldt0(sdtasdt0(xk,sK5),sK10(sdtasdt0(xk,sK5),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_21269,c_49,c_6553]) ).
tcf(c_21279,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21268,c_49,c_6553]) ).
tcf(c_21310,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sK5,X0))
| ( sK10(sK5,xk) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ~ sdtlseqdt0(sK10(sK5,xk),X0) ),
inference(superposition,[status(thm)],[c_20501,c_119]) ).
tcf(c_21316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK5,xk)),xk)
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK10(sK5,xk)) ),
inference(superposition,[status(thm)],[c_20501,c_121]) ).
tcf(c_21317,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ~ doDivides0(X0,sK10(sK5,xk)) ),
inference(superposition,[status(thm)],[c_20501,c_109]) ).
tcf(c_21318,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK5,xk))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(sK5,xk)) ),
inference(superposition,[status(thm)],[c_20501,c_108]) ).
tcf(c_21320,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sK5,xk)))
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK10(sK5,xk)) ),
inference(superposition,[status(thm)],[c_20501,c_121]) ).
tcf(c_21321,plain,
! [X0: $i] :
( ( sK10(sK5,xk) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ( sdtpldt0(sK5,X0) != xk ) ),
inference(superposition,[status(thm)],[c_20501,c_130]) ).
tcf(c_21322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK5,X0),xk)
| ( sK10(sK5,xk) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ~ sdtlseqdt0(X0,sK10(sK5,xk)) ),
inference(superposition,[status(thm)],[c_20501,c_119]) ).
tcf(c_21323,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ( sdtpldt0(X0,sK10(sK5,xk)) != xk ) ),
inference(superposition,[status(thm)],[c_20501,c_131]) ).
tcf(c_21324,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ( sdtpldt0(X0,sK10(sK5,xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21323,c_65]) ).
tcf(c_21329,plain,
! [X0: $i] :
( ( sK10(sK5,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ( sdtpldt0(sK5,X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21321,c_65]) ).
tcf(c_21334,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK5,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK5)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(sK10(sK5,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21318,c_65]) ).
tcf(c_21341,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sK5,xk)))
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK5,X0)
| ~ aNaturalNumber0(sK10(sK5,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21320,c_65]) ).
tcf(c_21347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK5,xk)),xk)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5)
| ~ aNaturalNumber0(sK10(sK5,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21316,c_65]) ).
tcf(c_21353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK5,X0),xk)
| ( sK10(sK5,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ~ sdtlseqdt0(X0,sK10(sK5,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21322,c_65]) ).
tcf(c_21359,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sK5,X0))
| ( sK10(sK5,xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK5,xk))
| ~ sdtlseqdt0(sK10(sK5,xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21310,c_65]) ).
tcf(c_21377,plain,
( doDivides0(sK2(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ iLess0(sK5,xk)
| ~ aNaturalNumber0(sK2(sK5)) ),
inference(superposition,[status(thm)],[c_55,c_20220]) ).
tcf(c_21378,plain,
( doDivides0(sK6(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ sP1(sK5)
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_74,c_20220]) ).
tcf(c_21379,plain,
( isPrime0(sK5)
| doDivides0(sK9(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(superposition,[status(thm)],[c_114,c_20220]) ).
tcf(c_21382,plain,
( doDivides0(sK6(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21378,c_20217]) ).
tcf(c_21387,plain,
( doDivides0(sK9(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21379,c_20225,c_65]) ).
tcf(c_21392,plain,
( doDivides0(sK2(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ iLess0(sK5,xk)
| ~ aNaturalNumber0(sK2(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21377,c_65]) ).
tcf(c_21399,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ doDivides0(X0,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_20200,c_110]) ).
tcf(c_21400,plain,
( ( sdtasdt0(sdtasdt0(xk,sK4),sK8(sdtasdt0(xk,sK4),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_20200,c_101]) ).
tcf(c_21402,plain,
( sdtlseqdt0(sdtasdt0(xk,sK4),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_20200,c_107]) ).
tcf(c_21404,plain,
( sP1(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_20200,c_77]) ).
tcf(c_21405,plain,
sP1(sdtasdt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_21404,c_6521]) ).
tcf(c_21406,plain,
sdtlseqdt0(sdtasdt0(xk,sK4),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_21402,c_60,c_49,c_6521]) ).
tcf(c_21407,plain,
sdtasdt0(sdtasdt0(xk,sK4),sK8(sdtasdt0(xk,sK4),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_21400,c_49,c_6521]) ).
tcf(c_21408,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21399,c_49,c_6521]) ).
tcf(c_21412,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK4)),sK7(sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_21405,c_73]) ).
tcf(c_21413,plain,
~ isPrime0(sdtasdt0(xk,sK4)),
inference(superposition,[status(thm)],[c_21405,c_75]) ).
tcf(c_21417,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_21406,c_124]) ).
tcf(c_21418,plain,
( ( sdtpldt0(sdtasdt0(xk,sK4),sK10(sdtasdt0(xk,sK4),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_21406,c_129]) ).
tcf(c_21419,plain,
( ( sdtasdt0(xk,sK4) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_21406,c_125]) ).
tcf(c_21420,plain,
( iLess0(sdtasdt0(xk,sK4),xk)
| ( sdtasdt0(xk,sK4) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_21406,c_98]) ).
tcf(c_21421,plain,
( iLess0(sdtasdt0(xk,sK4),xk)
| ( sdtasdt0(xk,sK4) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21420,c_49,c_6521]) ).
tcf(c_21424,plain,
( ( sdtasdt0(xk,sK4) = xk )
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21419,c_49,c_6521]) ).
tcf(c_21427,plain,
sdtpldt0(sdtasdt0(xk,sK4),sK10(sdtasdt0(xk,sK4),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_21418,c_49,c_6521]) ).
tcf(c_21428,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21417,c_49,c_6521]) ).
tcf(c_21548,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK5))
| ~ doDivides0(X0,sK6(sK5)) ),
inference(superposition,[status(thm)],[c_21382,c_110]) ).
tcf(c_21549,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK6(sK5),sK8(sK6(sK5),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_21382,c_101]) ).
tcf(c_21551,plain,
( sdtlseqdt0(sK6(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_21382,c_107]) ).
tcf(c_21552,plain,
( doDivides0(sK6(sK5),sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_21382,c_8040]) ).
tcf(c_21553,plain,
( sP1(sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_21382,c_77]) ).
tcf(c_21562,plain,
( sdtlseqdt0(sK6(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21551,c_60,c_49]) ).
tcf(c_21567,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK6(sK5),sK8(sK6(sK5),xk)) = xk )
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21549,c_49]) ).
tcf(c_21572,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK5))
| ~ doDivides0(X0,sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21548,c_49]) ).
tcf(c_21587,plain,
( sP1(sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ sP1(sK5) ),
inference(superposition,[status(thm)],[c_71,c_21553]) ).
tcf(c_21588,plain,
( sP1(sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21587,c_20217]) ).
tcf(c_21601,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sdtasdt0(sK6(sK6(sK5)),sK7(sK6(sK5))) = sK6(sK5) ) ),
inference(superposition,[status(thm)],[c_21588,c_73]) ).
tcf(c_21602,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ isPrime0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_21588,c_75]) ).
tcf(c_21620,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK6(sdtasdt0(xk,sK4)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK4)),sK7(sdtasdt0(xk,sK4))) = sK6(sdtasdt0(xk,sK4)) )
| ~ sP0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21412,c_50]) ).
tcf(c_21621,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK7(sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21412,c_78]) ).
tcf(c_21622,plain,
( doDivides0(sK6(sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21412,c_275]) ).
tcf(c_21623,plain,
( sP1(sK6(sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sK4) != xk ) ),
inference(superposition,[status(thm)],[c_21412,c_76]) ).
tcf(c_21624,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(sK6(sdtasdt0(xk,sK4)),X0))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK7(sdtasdt0(xk,sK4)) = X0 )
| ( sK6(sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sK7(sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_21412,c_80]) ).
tcf(c_21625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK4),sdtasdt0(X0,sK7(sdtasdt0(xk,sK4))))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK7(sdtasdt0(xk,sK4)) = sz00 )
| ( sK6(sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(sK6(sdtasdt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_21412,c_82]) ).
tcf(c_21626,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK7(sdtasdt0(xk,sK4)) = X0 )
| ( sK6(sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ( sdtasdt0(sK6(sdtasdt0(xk,sK4)),X0) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_21412,c_86]) ).
tcf(c_21627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sdtasdt0(xk,sK4)),X0),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK7(sdtasdt0(xk,sK4)) = X0 )
| ( sK6(sdtasdt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK7(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21412,c_80]) ).
tcf(c_21628,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK7(sdtasdt0(xk,sK4)) = sz00 )
| ( sK6(sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ( sdtasdt0(X0,sK7(sdtasdt0(xk,sK4))) != sdtasdt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_21412,c_87]) ).
tcf(c_21629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sdtasdt0(xk,sK4))),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK7(sdtasdt0(xk,sK4)) = sz00 )
| ( sK6(sdtasdt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK6(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21412,c_82]) ).
tcf(c_21743,plain,
( sP0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_20829,c_49,c_61,c_60,c_2189,c_20829]) ).
tcf(c_21749,plain,
( isPrime0(sK2(sK9(xk)))
| ( sK9(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_20833,c_49,c_61,c_60,c_2189,c_20833]) ).
tcf(c_21870,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_123,c_20502]) ).
tcf(c_21880,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,X0)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21870,c_65]) ).
tcf(c_21890,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_21880,c_124]) ).
tcf(c_21891,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sK5,sK10(sK5,X0)) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21880,c_129]) ).
tcf(c_21892,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(superposition,[status(thm)],[c_21880,c_125]) ).
tcf(c_21893,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sK5,X0)
| ( X0 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21880,c_98]) ).
tcf(c_21902,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK5,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_21880,c_124]) ).
tcf(c_21903,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,X0)
| ( sdtpldt0(X0,sK10(X0,xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21880,c_129]) ).
tcf(c_21904,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_21880,c_125]) ).
tcf(c_21905,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21880,c_98]) ).
tcf(c_21906,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,X0)
| iLess0(X0,xk)
| ( X0 = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21905,c_49]) ).
tcf(c_21911,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| iLess0(sK5,X0)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21893,c_65]) ).
tcf(c_21916,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,X0)
| ( X0 = xk )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21904,c_49]) ).
tcf(c_21921,plain,
! [X0: $i] :
( sdtlseqdt0(sK5,X0)
| ( sdtpldt0(X0,sK10(X0,xk)) = xk )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21903,c_49]) ).
tcf(c_21925,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( X0 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21892,c_65]) ).
tcf(c_21930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( sdtpldt0(sK5,sK10(sK5,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21891,c_65]) ).
tcf(c_21934,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sK5,X1)
| sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21902,c_49]) ).
tcf(c_21940,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xk)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21890,c_65]) ).
tcf(c_22019,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK9(xk),X0))
| ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),xk))
| ~ sdtlseqdt0(sK8(sK9(xk),xk),X0) ),
inference(superposition,[status(thm)],[c_20663,c_80]) ).
tcf(c_22020,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sK9(xk),xk)))
| ( sK9(xk) = X0 )
| ( sK8(sK9(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0)
| ~ aNaturalNumber0(sK8(sK9(xk),xk)) ),
inference(superposition,[status(thm)],[c_20663,c_82]) ).
tcf(c_22021,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),xk))
| ( sdtasdt0(sK9(xk),X0) != xk ) ),
inference(superposition,[status(thm)],[c_20663,c_86]) ).
tcf(c_22022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),xk)
| ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),xk))
| ~ sdtlseqdt0(X0,sK8(sK9(xk),xk)) ),
inference(superposition,[status(thm)],[c_20663,c_80]) ).
tcf(c_22023,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ( sK8(sK9(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),xk))
| ( sdtasdt0(X0,sK8(sK9(xk),xk)) != xk ) ),
inference(superposition,[status(thm)],[c_20663,c_87]) ).
tcf(c_22024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK9(xk),xk)),xk)
| ( sK9(xk) = X0 )
| ( sK8(sK9(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),xk)) ),
inference(superposition,[status(thm)],[c_20663,c_82]) ).
tcf(c_22026,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK9(xk),xk))
| ( sdtasdt0(sK9(xk),X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22021,c_8359]) ).
tcf(c_22032,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ( sK8(sK9(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK9(xk),xk))
| ( sdtasdt0(X0,sK8(sK9(xk),xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22023,c_8359]) ).
tcf(c_22038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK8(sK9(xk),xk)),xk)
| ( sK9(xk) = X0 )
| ( sK8(sK9(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(sK8(sK9(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22024,c_8359]) ).
tcf(c_22045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),xk)
| ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK9(xk),xk))
| ~ sdtlseqdt0(X0,sK8(sK9(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22022,c_8359]) ).
tcf(c_22052,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(X0,sK8(sK9(xk),xk)))
| ( sK9(xk) = X0 )
| ( sK8(sK9(xk),xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0)
| ~ aNaturalNumber0(sK8(sK9(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22020,c_8359]) ).
tcf(c_22059,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtasdt0(sK9(xk),X0))
| ( sK9(xk) = sz00 )
| ( sK8(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK9(xk),xk))
| ~ sdtlseqdt0(sK8(sK9(xk),xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22019,c_8359]) ).
tcf(c_22071,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sK9(xk),X0))
| ( sK10(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ~ sdtlseqdt0(sK10(sK9(xk),xk),X0) ),
inference(superposition,[status(thm)],[c_20811,c_119]) ).
tcf(c_22077,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK9(xk),xk)),xk)
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk)) ),
inference(superposition,[status(thm)],[c_20811,c_121]) ).
tcf(c_22078,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ~ doDivides0(X0,sK10(sK9(xk),xk)) ),
inference(superposition,[status(thm)],[c_20811,c_109]) ).
tcf(c_22079,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK9(xk),xk))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk)) ),
inference(superposition,[status(thm)],[c_20811,c_108]) ).
tcf(c_22081,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sK9(xk),xk)))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0)
| ~ aNaturalNumber0(sK10(sK9(xk),xk)) ),
inference(superposition,[status(thm)],[c_20811,c_121]) ).
tcf(c_22082,plain,
! [X0: $i] :
( ( sK10(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ( sdtpldt0(sK9(xk),X0) != xk ) ),
inference(superposition,[status(thm)],[c_20811,c_130]) ).
tcf(c_22083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9(xk),X0),xk)
| ( sK10(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ~ sdtlseqdt0(X0,sK10(sK9(xk),xk)) ),
inference(superposition,[status(thm)],[c_20811,c_119]) ).
tcf(c_22084,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ( sdtpldt0(X0,sK10(sK9(xk),xk)) != xk ) ),
inference(superposition,[status(thm)],[c_20811,c_131]) ).
tcf(c_22085,plain,
! [X0: $i] :
( ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ( sdtpldt0(X0,sK10(sK9(xk),xk)) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22084,c_8359]) ).
tcf(c_22090,plain,
! [X0: $i] :
( ( sK10(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ( sdtpldt0(sK9(xk),X0) != xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22082,c_8359]) ).
tcf(c_22095,plain,
! [X0: $i] :
( doDivides0(X0,sK10(sK9(xk),xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22079,c_8359]) ).
tcf(c_22102,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(X0,sK10(sK9(xk),xk)))
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0)
| ~ aNaturalNumber0(sK10(sK9(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22081,c_8359]) ).
tcf(c_22108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK10(sK9(xk),xk)),xk)
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk))
| ~ aNaturalNumber0(sK10(sK9(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22077,c_8359]) ).
tcf(c_22114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK9(xk),X0),xk)
| ( sK10(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ~ sdtlseqdt0(X0,sK10(sK9(xk),xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22083,c_8359]) ).
tcf(c_22120,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtpldt0(sK9(xk),X0))
| ( sK10(sK9(xk),xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(sK9(xk),xk))
| ~ sdtlseqdt0(sK10(sK9(xk),xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22071,c_8359]) ).
tcf(c_22133,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ doDivides0(X0,sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_20201,c_110]) ).
tcf(c_22134,plain,
( ( sdtasdt0(sdtasdt0(xk,sK9(xk)),sK8(sdtasdt0(xk,sK9(xk)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_20201,c_101]) ).
tcf(c_22136,plain,
( sdtlseqdt0(sdtasdt0(xk,sK9(xk)),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_20201,c_107]) ).
tcf(c_22138,plain,
( sP1(sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_20201,c_77]) ).
tcf(c_22139,plain,
sP1(sdtasdt0(xk,sK9(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_22138,c_11479]) ).
tcf(c_22140,plain,
sdtlseqdt0(sdtasdt0(xk,sK9(xk)),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_22136,c_60,c_49,c_11479]) ).
tcf(c_22141,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22133,c_49,c_11479]) ).
tcf(c_22145,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),sK8(sdtasdt0(xk,sK9(xk)),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_22134,c_49,c_11479]) ).
tcf(c_22146,plain,
( ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK9(xk))),sK7(sdtasdt0(xk,sK9(xk)))) = sdtasdt0(xk,sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_22139,c_73]) ).
tcf(c_22147,plain,
~ isPrime0(sdtasdt0(xk,sK9(xk))),
inference(superposition,[status(thm)],[c_22139,c_75]) ).
tcf(c_22151,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_22140,c_124]) ).
tcf(c_22152,plain,
( ( sdtpldt0(sdtasdt0(xk,sK9(xk)),sK10(sdtasdt0(xk,sK9(xk)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_22140,c_129]) ).
tcf(c_22153,plain,
( ( sdtasdt0(xk,sK9(xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_22140,c_125]) ).
tcf(c_22154,plain,
( iLess0(sdtasdt0(xk,sK9(xk)),xk)
| ( sdtasdt0(xk,sK9(xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk))) ),
inference(superposition,[status(thm)],[c_22140,c_98]) ).
tcf(c_22155,plain,
( iLess0(sdtasdt0(xk,sK9(xk)),xk)
| ( sdtasdt0(xk,sK9(xk)) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22154,c_49,c_11479]) ).
tcf(c_22158,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22151,c_49,c_11479]) ).
tcf(c_22162,plain,
( ( sdtasdt0(xk,sK9(xk)) = xk )
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22153,c_49,c_11479]) ).
tcf(c_22165,plain,
sdtpldt0(sdtasdt0(xk,sK9(xk)),sK10(sdtasdt0(xk,sK9(xk)),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_22152,c_49,c_11479]) ).
tcf(c_22175,plain,
( ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK9(xk))),sK7(sdtasdt0(xk,sK9(xk)))) = sK6(sdtasdt0(xk,sK9(xk))) )
| ~ sP0(sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22146,c_50]) ).
tcf(c_22176,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK9(xk))),sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(xk,sK9(xk))) = sz00 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22146,c_78]) ).
tcf(c_22177,plain,
( doDivides0(sK6(sdtasdt0(xk,sK9(xk))),sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22146,c_275]) ).
tcf(c_22178,plain,
( sP1(sK6(sdtasdt0(xk,sK9(xk))))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ( sdtasdt0(xk,sK9(xk)) != xk ) ),
inference(superposition,[status(thm)],[c_22146,c_76]) ).
tcf(c_22179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK9(xk)),sdtasdt0(sK6(sdtasdt0(xk,sK9(xk))),X0))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(xk,sK9(xk))) = X0 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ~ sdtlseqdt0(sK7(sdtasdt0(xk,sK9(xk))),X0) ),
inference(superposition,[status(thm)],[c_22146,c_80]) ).
tcf(c_22180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sK9(xk)),sdtasdt0(X0,sK7(sdtasdt0(xk,sK9(xk)))))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(xk,sK9(xk))) = sz00 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ~ sdtlseqdt0(sK6(sdtasdt0(xk,sK9(xk))),X0) ),
inference(superposition,[status(thm)],[c_22146,c_82]) ).
tcf(c_22181,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(xk,sK9(xk))) = X0 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ( sdtasdt0(sK6(sdtasdt0(xk,sK9(xk))),X0) != sdtasdt0(xk,sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_22146,c_86]) ).
tcf(c_22182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sdtasdt0(xk,sK9(xk))),X0),sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(xk,sK9(xk))) = X0 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ~ sdtlseqdt0(X0,sK7(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22146,c_80]) ).
tcf(c_22183,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(xk,sK9(xk))) = sz00 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ( sdtasdt0(X0,sK7(sdtasdt0(xk,sK9(xk)))) != sdtasdt0(xk,sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_22146,c_87]) ).
tcf(c_22184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sdtasdt0(xk,sK9(xk)))),sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(xk,sK9(xk))) = sz00 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ~ sdtlseqdt0(X0,sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22146,c_82]) ).
tcf(c_22302,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ doDivides0(X0,sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_20192,c_110]) ).
tcf(c_22303,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),sK8(sK6(sK9(xk)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_20192,c_101]) ).
tcf(c_22305,plain,
( sdtlseqdt0(sK6(sK9(xk)),xk)
| ( xk = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_20192,c_107]) ).
tcf(c_22307,plain,
( sP1(sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_20192,c_77]) ).
tcf(c_22311,plain,
( sdtlseqdt0(sK6(sK9(xk)),xk)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22305,c_60,c_49]) ).
tcf(c_22315,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK6(sK9(xk)),sK8(sK6(sK9(xk)),xk)) = xk )
| ~ aNaturalNumber0(sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22303,c_49]) ).
tcf(c_22319,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK9(xk)))
| ~ doDivides0(X0,sK6(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22302,c_49]) ).
tcf(c_22355,plain,
( sP1(sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ sP1(sK9(xk)) ),
inference(superposition,[status(thm)],[c_71,c_22307]) ).
tcf(c_22356,plain,
( sP1(sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22355,c_7130]) ).
tcf(c_22399,plain,
( sP1(sK6(sK9(xk)))
| ( sK9(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_22356,c_49,c_61,c_60,c_2189,c_22356]) ).
tcf(c_22405,plain,
( ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK6(sK9(xk))),sK7(sK6(sK9(xk)))) = sK6(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_22399,c_73]) ).
tcf(c_22406,plain,
( ( sK9(xk) = sz00 )
| ~ isPrime0(sK6(sK9(xk))) ),
inference(superposition,[status(thm)],[c_22399,c_75]) ).
tcf(c_22424,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK9(xk)))
| ~ doDivides0(X0,sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_20193,c_110]) ).
tcf(c_22425,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK9(sK9(xk)),sK8(sK9(sK9(xk)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_20193,c_101]) ).
tcf(c_22427,plain,
( sdtlseqdt0(sK9(sK9(xk)),xk)
| ( xk = sz00 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_20193,c_107]) ).
tcf(c_22429,plain,
( sP1(sK9(sK9(xk)))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_20193,c_77]) ).
tcf(c_22433,plain,
( sdtlseqdt0(sK9(sK9(xk)),xk)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22427,c_60,c_49]) ).
tcf(c_22437,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK9(sK9(xk)),sK8(sK9(sK9(xk)),xk)) = xk )
| ~ aNaturalNumber0(sK9(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22425,c_49]) ).
tcf(c_22441,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK9(xk)))
| ~ doDivides0(X0,sK9(sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22424,c_49]) ).
tcf(c_22557,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),sK4) = sdtasdt0(sK4,sK6(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_6276]) ).
tcf(c_22558,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK7(X0),sK4) = sdtasdt0(sK4,sK7(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_6276]) ).
tcf(c_22566,plain,
sdtasdt0(sK9(xk),sK4) = sdtasdt0(sK4,sK9(xk)),
inference(superposition,[status(thm)],[c_8359,c_6276]) ).
tcf(c_22573,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),sK4) = sdtasdt0(sK4,sdtasdt0(xk,sK9(xk))),
inference(superposition,[status(thm)],[c_11479,c_6276]) ).
tcf(c_22575,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),sK4) = sdtasdt0(sK4,sK2(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21030,c_6276]) ).
tcf(c_22576,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK3(sK9(xk)),sK4) = sdtasdt0(sK4,sK3(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21165,c_6276]) ).
tcf(c_22731,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),sK5) = sdtasdt0(sK5,sK6(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_6277]) ).
tcf(c_22732,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK7(X0),sK5) = sdtasdt0(sK5,sK7(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_6277]) ).
tcf(c_22740,plain,
sdtasdt0(sK9(xk),sK5) = sdtasdt0(sK5,sK9(xk)),
inference(superposition,[status(thm)],[c_8359,c_6277]) ).
tcf(c_22747,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),sK5) = sdtasdt0(sK5,sdtasdt0(xk,sK9(xk))),
inference(superposition,[status(thm)],[c_11479,c_6277]) ).
tcf(c_22749,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),sK5) = sdtasdt0(sK5,sK2(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21030,c_6277]) ).
tcf(c_22750,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK3(sK9(xk)),sK5) = sdtasdt0(sK5,sK3(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21165,c_6277]) ).
tcf(c_22951,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),sz00) = sdtasdt0(sz00,sK6(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_6280]) ).
tcf(c_22952,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK7(X0),sz00) = sdtasdt0(sz00,sK7(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_6280]) ).
tcf(c_22960,plain,
sdtasdt0(sK9(xk),sz00) = sdtasdt0(sz00,sK9(xk)),
inference(superposition,[status(thm)],[c_8359,c_6280]) ).
tcf(c_22967,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),sz00) = sdtasdt0(sz00,sdtasdt0(xk,sK9(xk))),
inference(superposition,[status(thm)],[c_11479,c_6280]) ).
tcf(c_22969,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),sz00) = sdtasdt0(sz00,sK2(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21030,c_6280]) ).
tcf(c_22970,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK3(sK9(xk)),sz00) = sdtasdt0(sz00,sK3(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21165,c_6280]) ).
tcf(c_23042,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20202,c_110]) ).
tcf(c_23043,plain,
( ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sK8(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20202,c_101]) ).
tcf(c_23045,plain,
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20202,c_107]) ).
tcf(c_23047,plain,
( sP1(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20202,c_77]) ).
tcf(c_23048,plain,
sP1(sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(forward_subsumption_resolution,[status(thm)],[c_23047,c_7955]) ).
tcf(c_23049,plain,
sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_23045,c_60,c_49,c_7955]) ).
tcf(c_23050,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23042,c_49,c_7955]) ).
tcf(c_23054,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sK8(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_23043,c_49,c_7955]) ).
tcf(c_23055,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))),sK7(sdtasdt0(xk,sdtasdt0(xk,sK5)))) = sdtasdt0(xk,sdtasdt0(xk,sK5)) ) ),
inference(superposition,[status(thm)],[c_23048,c_73]) ).
tcf(c_23056,plain,
~ isPrime0(sdtasdt0(xk,sdtasdt0(xk,sK5))),
inference(superposition,[status(thm)],[c_23048,c_75]) ).
tcf(c_23061,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_20203,c_110]) ).
tcf(c_23062,plain,
( ( sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sK8(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_20203,c_101]) ).
tcf(c_23064,plain,
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_20203,c_107]) ).
tcf(c_23066,plain,
( sP1(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_20203,c_77]) ).
tcf(c_23067,plain,
sP1(sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_23066,c_6561]) ).
tcf(c_23068,plain,
sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_23064,c_60,c_49,c_6561]) ).
tcf(c_23069,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23061,c_49,c_6561]) ).
tcf(c_23073,plain,
sdtasdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sK8(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_23062,c_49,c_6561]) ).
tcf(c_23074,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))),sK7(sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(superposition,[status(thm)],[c_23067,c_73]) ).
tcf(c_23075,plain,
~ isPrime0(sdtasdt0(xk,sdtasdt0(xk,sK4))),
inference(superposition,[status(thm)],[c_23067,c_75]) ).
tcf(c_23085,plain,
( isPrime0(sK9(xk))
| sP1(sK9(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 )
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_113,c_22429]) ).
tcf(c_23086,plain,
( sP1(sK9(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(xk) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23085,c_7132,c_8359]) ).
tcf(c_23090,plain,
( sP1(sK9(sK9(xk)))
| ( sK9(xk) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_23086,c_49,c_61,c_60,c_2189,c_23086]) ).
tcf(c_23096,plain,
( ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sK9(sK9(xk))),sK7(sK9(sK9(xk)))) = sK9(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_23090,c_73]) ).
tcf(c_23097,plain,
( ( sK9(xk) = sz00 )
| ~ isPrime0(sK9(sK9(xk))) ),
inference(superposition,[status(thm)],[c_23090,c_75]) ).
tcf(c_23113,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))),sK7(sdtasdt0(xk,sdtasdt0(xk,sK5)))) = sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))) )
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5)))) ),
inference(superposition,[status(thm)],[c_23055,c_50]) ).
tcf(c_23114,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz00 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5)))) ),
inference(superposition,[status(thm)],[c_23055,c_78]) ).
tcf(c_23115,plain,
( doDivides0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5)))) ),
inference(superposition,[status(thm)],[c_23055,c_275]) ).
tcf(c_23116,plain,
( sP1(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) != xk ) ),
inference(superposition,[status(thm)],[c_23055,c_76]) ).
tcf(c_23117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))),X0))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))) = X0 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ sdtlseqdt0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))),X0) ),
inference(superposition,[status(thm)],[c_23055,c_80]) ).
tcf(c_23118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sdtasdt0(X0,sK7(sdtasdt0(xk,sdtasdt0(xk,sK5)))))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz00 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ sdtlseqdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))),X0) ),
inference(superposition,[status(thm)],[c_23055,c_82]) ).
tcf(c_23119,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))) = X0 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ( sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))),X0) != sdtasdt0(xk,sdtasdt0(xk,sK5)) ) ),
inference(superposition,[status(thm)],[c_23055,c_86]) ).
tcf(c_23120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))),X0),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))) = X0 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ sdtlseqdt0(X0,sK7(sdtasdt0(xk,sdtasdt0(xk,sK5)))) ),
inference(superposition,[status(thm)],[c_23055,c_80]) ).
tcf(c_23121,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz00 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ( sdtasdt0(X0,sK7(sdtasdt0(xk,sdtasdt0(xk,sK5)))) != sdtasdt0(xk,sdtasdt0(xk,sK5)) ) ),
inference(superposition,[status(thm)],[c_23055,c_87]) ).
tcf(c_23122,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sdtasdt0(xk,sdtasdt0(xk,sK5)))),sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))) = sz00 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK5))))
| ~ sdtlseqdt0(X0,sK6(sdtasdt0(xk,sdtasdt0(xk,sK5)))) ),
inference(superposition,[status(thm)],[c_23055,c_82]) ).
tcf(c_23317,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))),sK7(sdtasdt0(xk,sdtasdt0(xk,sK4)))) = sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))) )
| ~ sP0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4)))) ),
inference(superposition,[status(thm)],[c_23074,c_50]) ).
tcf(c_23318,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz00 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4)))) ),
inference(superposition,[status(thm)],[c_23074,c_78]) ).
tcf(c_23319,plain,
( doDivides0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4)))) ),
inference(superposition,[status(thm)],[c_23074,c_275]) ).
tcf(c_23320,plain,
( sP1(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) != xk ) ),
inference(superposition,[status(thm)],[c_23074,c_76]) ).
tcf(c_23321,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))),X0))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))) = X0 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ sdtlseqdt0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))),X0) ),
inference(superposition,[status(thm)],[c_23074,c_80]) ).
tcf(c_23322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sdtasdt0(X0,sK7(sdtasdt0(xk,sdtasdt0(xk,sK4)))))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz00 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ sdtlseqdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))),X0) ),
inference(superposition,[status(thm)],[c_23074,c_82]) ).
tcf(c_23323,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))) = X0 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))),X0) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(superposition,[status(thm)],[c_23074,c_86]) ).
tcf(c_23324,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))),X0),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))) = X0 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ sdtlseqdt0(X0,sK7(sdtasdt0(xk,sdtasdt0(xk,sK4)))) ),
inference(superposition,[status(thm)],[c_23074,c_80]) ).
tcf(c_23325,plain,
! [X0: $i] :
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz00 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ( sdtasdt0(X0,sK7(sdtasdt0(xk,sdtasdt0(xk,sK4)))) != sdtasdt0(xk,sdtasdt0(xk,sK4)) ) ),
inference(superposition,[status(thm)],[c_23074,c_87]) ).
tcf(c_23326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sdtasdt0(xk,sdtasdt0(xk,sK4)))),sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz00 )
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = sz10 )
| ( sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))) = sz00 )
| ( sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sdtasdt0(xk,sK4))))
| ~ sdtlseqdt0(X0,sK6(sdtasdt0(xk,sdtasdt0(xk,sK4)))) ),
inference(superposition,[status(thm)],[c_23074,c_82]) ).
tcf(c_23468,plain,
( ( sz10 = sK5 )
| ( sdtasdt0(sK5,sK8(sK5,sdtasdt0(xk,sK5))) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ sP0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_7295,c_50]) ).
tcf(c_23479,plain,
( ( sz10 = sK5 )
| ( sdtasdt0(xk,sK5) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ sP0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK8(sK5,sdtasdt0(xk,sK5))) ),
inference(light_normalisation,[status(thm)],[c_23468,c_7295]) ).
tcf(c_23548,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_23049,c_124]) ).
tcf(c_23549,plain,
( ( sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sK10(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_23049,c_129]) ).
tcf(c_23550,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5)))
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_23049,c_125]) ).
tcf(c_23551,plain,
( iLess0(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk)
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_23049,c_98]) ).
tcf(c_23552,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23548,c_49,c_7955]) ).
tcf(c_23556,plain,
( iLess0(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk)
| ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23551,c_49,c_7955]) ).
tcf(c_23559,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK5)) = xk )
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23550,c_49,c_7955]) ).
tcf(c_23562,plain,
sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK5)),sK10(sdtasdt0(xk,sdtasdt0(xk,sK5)),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_23549,c_49,c_7955]) ).
tcf(c_23607,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_23068,c_124]) ).
tcf(c_23608,plain,
( ( sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sK10(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_23068,c_129]) ).
tcf(c_23609,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4)))
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_23068,c_125]) ).
tcf(c_23610,plain,
( iLess0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk)
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_23068,c_98]) ).
tcf(c_23611,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23607,c_49,c_6561]) ).
tcf(c_23615,plain,
( iLess0(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk)
| ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23610,c_49,c_6561]) ).
tcf(c_23618,plain,
( ( sdtasdt0(xk,sdtasdt0(xk,sK4)) = xk )
| ~ sdtlseqdt0(xk,sdtasdt0(xk,sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23609,c_49,c_6561]) ).
tcf(c_23621,plain,
sdtpldt0(sdtasdt0(xk,sdtasdt0(xk,sK4)),sK10(sdtasdt0(xk,sdtasdt0(xk,sK4)),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_23608,c_49,c_6561]) ).
tcf(c_23658,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK6(X0),sz10) = sdtasdt0(sz10,sK6(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_6281]) ).
tcf(c_23659,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtasdt0(sK7(X0),sz10) = sdtasdt0(sz10,sK7(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_6281]) ).
tcf(c_23667,plain,
sdtasdt0(sK9(xk),sz10) = sdtasdt0(sz10,sK9(xk)),
inference(superposition,[status(thm)],[c_8359,c_6281]) ).
tcf(c_23674,plain,
sdtasdt0(sdtasdt0(xk,sK9(xk)),sz10) = sdtasdt0(sz10,sdtasdt0(xk,sK9(xk))),
inference(superposition,[status(thm)],[c_11479,c_6281]) ).
tcf(c_23676,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),sz10) = sdtasdt0(sz10,sK2(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21030,c_6281]) ).
tcf(c_23677,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK3(sK9(xk)),sz10) = sdtasdt0(sz10,sK3(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21165,c_6281]) ).
tcf(c_23726,plain,
( ( sz00 = sK4 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(sK4,sK9(xk)) != sz00 ) ),
inference(superposition,[status(thm)],[c_22566,c_83]) ).
tcf(c_23727,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(sK9(xk),sK4) = sK9(xk) )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK9(xk))
| ~ sP0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_22566,c_50]) ).
tcf(c_23728,plain,
( sdtlseqdt0(sK9(xk),sdtasdt0(sK4,sK9(xk)))
| ( sz00 = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_22566,c_78]) ).
tcf(c_23729,plain,
( doDivides0(sK9(xk),sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_22566,c_275]) ).
tcf(c_23731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,sK9(xk)),sdtasdt0(sK9(xk),X0))
| ( X0 = sK4 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK4,X0) ),
inference(superposition,[status(thm)],[c_22566,c_80]) ).
tcf(c_23732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,sK9(xk)),sdtasdt0(X0,sK4))
| ( sz00 = sK4 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(superposition,[status(thm)],[c_22566,c_82]) ).
tcf(c_23733,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(sK9(xk),X0) != sdtasdt0(sK4,sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_22566,c_86]) ).
tcf(c_23734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sdtasdt0(sK4,sK9(xk)))
| ( X0 = sK4 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK4) ),
inference(superposition,[status(thm)],[c_22566,c_80]) ).
tcf(c_23735,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ( sdtasdt0(sK4,sK9(xk)) != sdtasdt0(X0,sK4) ) ),
inference(superposition,[status(thm)],[c_22566,c_87]) ).
tcf(c_23736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4),sdtasdt0(sK4,sK9(xk)))
| ( sz00 = sK4 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(superposition,[status(thm)],[c_22566,c_82]) ).
tcf(c_23737,plain,
( aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK9(xk)) ),
inference(superposition,[status(thm)],[c_22566,c_106]) ).
tcf(c_23738,plain,
aNaturalNumber0(sdtasdt0(sK4,sK9(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_23737,c_64,c_8359]) ).
tcf(c_23739,plain,
doDivides0(sK9(xk),sdtasdt0(sK4,sK9(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_23729,c_64,c_8359]) ).
tcf(c_23740,plain,
( sdtlseqdt0(sK9(xk),sdtasdt0(sK4,sK9(xk)))
| ( sz00 = sK4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23728,c_64,c_8359]) ).
tcf(c_23743,plain,
( ( sz00 = sK4 )
| ( sK9(xk) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23726,c_64,c_8359]) ).
tcf(c_23747,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(sK4,sK9(xk)) = sK9(xk) )
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK9(xk))
| ~ sP0(sdtasdt0(sK4,sK9(xk))) ),
inference(light_normalisation,[status(thm)],[c_23727,c_22566]) ).
tcf(c_23748,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(sK4,sK9(xk)) = sK9(xk) )
| ~ sP0(sdtasdt0(sK4,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23747,c_64,c_8359]) ).
tcf(c_23752,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK4,sK9(xk)) != sdtasdt0(X0,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23735,c_64,c_8359]) ).
tcf(c_23757,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK9(xk),X0) != sdtasdt0(sK4,sK9(xk)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23733,c_64,c_8359]) ).
tcf(c_23762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK4),sdtasdt0(sK4,sK9(xk)))
| ( sz00 = sK4 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23736,c_64,c_8359]) ).
tcf(c_23768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK9(xk),X0),sdtasdt0(sK4,sK9(xk)))
| ( X0 = sK4 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23734,c_64,c_8359]) ).
tcf(c_23774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,sK9(xk)),sdtasdt0(X0,sK4))
| ( sz00 = sK4 )
| ( sK9(xk) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK9(xk),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23732,c_64,c_8359]) ).
tcf(c_23780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,sK9(xk)),sdtasdt0(sK9(xk),X0))
| ( X0 = sK4 )
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23731,c_64,c_8359]) ).
tcf(c_23880,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),sz10) = sdtasdt0(sz10,sdtasdt0(sK4,sK9(xk))),
inference(superposition,[status(thm)],[c_23738,c_6281]) ).
tcf(c_23881,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),sz00) = sdtasdt0(sz00,sdtasdt0(sK4,sK9(xk))),
inference(superposition,[status(thm)],[c_23738,c_6280]) ).
tcf(c_23882,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),sK5) = sdtasdt0(sK5,sdtasdt0(sK4,sK9(xk))),
inference(superposition,[status(thm)],[c_23738,c_6277]) ).
tcf(c_23883,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),sK4) = sdtasdt0(sK4,sdtasdt0(sK4,sK9(xk))),
inference(superposition,[status(thm)],[c_23738,c_6276]) ).
tcf(c_23884,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sK4,sK9(xk)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(sK4,sK9(xk)),X0),X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23738,c_103]) ).
tcf(c_23885,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(sK4,sK9(xk))),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(sdtasdt0(sK4,sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23738,c_102]) ).
tcf(c_23886,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X1,sdtasdt0(sK4,sK9(xk))),X0) = sdtpldt0(X1,sdtpldt0(sdtasdt0(sK4,sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23738,c_132]) ).
tcf(c_23887,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X1,sdtasdt0(sK4,sK9(xk))),X0) = sdtasdt0(X1,sdtasdt0(sdtasdt0(sK4,sK9(xk)),X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23738,c_104]) ).
tcf(c_23888,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),xk) = sdtasdt0(xk,sdtasdt0(sK4,sK9(xk))),
inference(superposition,[status(thm)],[c_23738,c_6275]) ).
tcf(c_23889,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sK4,sK9(xk)),X0) = sdtpldt0(X0,sdtasdt0(sK4,sK9(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23738,c_133]) ).
tcf(c_23890,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sK4,sK9(xk)),X0) = sdtasdt0(X0,sdtasdt0(sK4,sK9(xk))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23738,c_105]) ).
tcf(c_23891,plain,
sdtasdt0(sz10,sdtasdt0(sK4,sK9(xk))) = sdtasdt0(sK4,sK9(xk)),
inference(superposition,[status(thm)],[c_23738,c_95]) ).
tcf(c_23892,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),sz10) = sdtasdt0(sK4,sK9(xk)),
inference(superposition,[status(thm)],[c_23738,c_94]) ).
tcf(c_23893,plain,
sdtpldt0(sz00,sdtasdt0(sK4,sK9(xk))) = sdtasdt0(sK4,sK9(xk)),
inference(superposition,[status(thm)],[c_23738,c_91]) ).
tcf(c_23894,plain,
sdtpldt0(sdtasdt0(sK4,sK9(xk)),sz00) = sdtasdt0(sK4,sK9(xk)),
inference(superposition,[status(thm)],[c_23738,c_90]) ).
tcf(c_23895,plain,
sdtasdt0(sz00,sdtasdt0(sK4,sK9(xk))) = sz00,
inference(superposition,[status(thm)],[c_23738,c_89]) ).
tcf(c_23896,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23738,c_88]) ).
tcf(c_23951,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(sK4,sK9(xk)) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk))
| ~ isPrime0(sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23739,c_117]) ).
tcf(c_23952,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xk))
| ~ doDivides0(X0,sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23739,c_110]) ).
tcf(c_23953,plain,
( ( sdtasdt0(sK9(xk),sK8(sK9(xk),sdtasdt0(sK4,sK9(xk)))) = sdtasdt0(sK4,sK9(xk)) )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23739,c_101]) ).
tcf(c_23954,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(sK4,sK9(xk)) = sK9(xk) )
| ~ aNaturalNumber0(sK9(xk))
| ~ sP0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23739,c_51]) ).
tcf(c_23955,plain,
( sdtlseqdt0(sK9(xk),sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sK9(xk))
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23739,c_107]) ).
tcf(c_23957,plain,
( sdtlseqdt0(sK9(xk),sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23955,c_8359,c_23738]) ).
tcf(c_23960,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK9(xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23952,c_8359,c_23738]) ).
tcf(c_23964,plain,
sdtasdt0(sK9(xk),sK8(sK9(xk),sdtasdt0(sK4,sK9(xk)))) = sdtasdt0(sK4,sK9(xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_23953,c_8359,c_23738]) ).
tcf(c_23965,plain,
( ( sK9(xk) = sz10 )
| ( sdtasdt0(sK4,sK9(xk)) = sK9(xk) )
| ~ isPrime0(sdtasdt0(sK4,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23951,c_8359,c_23738]) ).
tcf(c_24075,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(sK4,sK9(xk))))
| ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23895,c_82]) ).
tcf(c_24078,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(X0,sdtasdt0(sK4,sK9(xk))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23895,c_87]) ).
tcf(c_24079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(sK4,sK9(xk))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23895,c_82]) ).
tcf(c_24081,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(sK4,sK9(xk))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24078,c_92,c_23738]) ).
tcf(c_24086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(sK4,sK9(xk))),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24079,c_92,c_23738]) ).
tcf(c_24092,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(sK4,sK9(xk))))
| ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24075,c_92,c_23738]) ).
tcf(c_24107,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK5))
| ~ doDivides0(X0,sK9(sK5)) ),
inference(superposition,[status(thm)],[c_21387,c_110]) ).
tcf(c_24108,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK9(sK5),sK8(sK9(sK5),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(superposition,[status(thm)],[c_21387,c_101]) ).
tcf(c_24110,plain,
( sdtlseqdt0(sK9(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(superposition,[status(thm)],[c_21387,c_107]) ).
tcf(c_24111,plain,
( doDivides0(sK9(sK5),sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(superposition,[status(thm)],[c_21387,c_8040]) ).
tcf(c_24112,plain,
( sP1(sK9(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(superposition,[status(thm)],[c_21387,c_77]) ).
tcf(c_24121,plain,
( sdtlseqdt0(sK9(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24110,c_60,c_49]) ).
tcf(c_24126,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK9(sK5),sK8(sK9(sK5),xk)) = xk )
| ~ aNaturalNumber0(sK9(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24108,c_49]) ).
tcf(c_24131,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK5))
| ~ doDivides0(X0,sK9(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24107,c_49]) ).
tcf(c_24146,plain,
( isPrime0(sK5)
| sP1(sK9(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[status(thm)],[c_113,c_24112]) ).
tcf(c_24147,plain,
( sP1(sK9(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24146,c_20225,c_65]) ).
tcf(c_24160,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sdtasdt0(sK6(sK9(sK5)),sK7(sK9(sK5))) = sK9(sK5) ) ),
inference(superposition,[status(thm)],[c_24147,c_73]) ).
tcf(c_24161,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ isPrime0(sK9(sK5)) ),
inference(superposition,[status(thm)],[c_24147,c_75]) ).
tcf(c_24185,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK5))
| ~ doDivides0(X0,sK6(sK5)) ),
inference(superposition,[status(thm)],[c_21552,c_110]) ).
tcf(c_24186,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK6(sK5),sK8(sK6(sK5),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_21552,c_101]) ).
tcf(c_24190,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK6(sK5),sK8(sK6(sK5),sz00)) = sz00 )
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24186,c_92]) ).
tcf(c_24195,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6(sK5))
| ~ doDivides0(X0,sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24185,c_92]) ).
tcf(c_24215,plain,
! [X0: $i] :
( doDivides0(X0,sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ doDivides0(X0,sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20248,c_110]) ).
tcf(c_24216,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK6(sK5),sK8(sK6(sK5),sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20248,c_101]) ).
tcf(c_24217,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sK5 )
| ( sK6(sK5) = sz10 )
| ~ sP0(sK5)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20248,c_51]) ).
tcf(c_24218,plain,
( sdtlseqdt0(sK6(sK5),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20248,c_107]) ).
tcf(c_24219,plain,
( doDivides0(sK6(sK5),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20248,c_20220]) ).
tcf(c_24220,plain,
( doDivides0(sK6(sK5),sz00)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_20248,c_8032]) ).
tcf(c_24231,plain,
( sdtlseqdt0(sK6(sK5),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24218,c_65]) ).
tcf(c_24244,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sdtasdt0(sK6(sK5),sK8(sK6(sK5),sK5)) = sK5 )
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24216,c_65]) ).
tcf(c_24250,plain,
! [X0: $i] :
( doDivides0(X0,sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ doDivides0(X0,sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24215,c_65]) ).
tcf(c_24314,plain,
( ( sK9(xk) = sz00 )
| ( sdtasdt0(sK2(sK9(xk)),sK3(sK9(xk))) = sK9(xk) ) ),
inference(global_subsumption_just,[status(thm)],[c_20837,c_49,c_61,c_60,c_2189,c_20837]) ).
tcf(c_24323,plain,
( ( sK9(xk) = sz00 )
| ( sK2(sK9(xk)) = sz10 )
| ( sdtasdt0(sK2(sK9(xk)),sK3(sK9(xk))) = sK2(sK9(xk)) )
| ~ sP0(sK9(xk))
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk))) ),
inference(superposition,[status(thm)],[c_24314,c_50]) ).
tcf(c_24324,plain,
( sdtlseqdt0(sK2(sK9(xk)),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK3(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk))) ),
inference(superposition,[status(thm)],[c_24314,c_78]) ).
tcf(c_24325,plain,
( doDivides0(sK2(sK9(xk)),sK9(xk))
| ( sK9(xk) = sz00 )
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk))) ),
inference(superposition,[status(thm)],[c_24314,c_275]) ).
tcf(c_24327,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(sK2(sK9(xk)),X0))
| ( sK9(xk) = sz00 )
| ( sK3(sK9(xk)) = X0 )
| ( sK2(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk)))
| ~ sdtlseqdt0(sK3(sK9(xk)),X0) ),
inference(superposition,[status(thm)],[c_24314,c_80]) ).
tcf(c_24328,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(xk),sdtasdt0(X0,sK3(sK9(xk))))
| ( sK9(xk) = sz00 )
| ( sK3(sK9(xk)) = sz00 )
| ( sK2(sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk)))
| ~ sdtlseqdt0(sK2(sK9(xk)),X0) ),
inference(superposition,[status(thm)],[c_24314,c_82]) ).
tcf(c_24329,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK3(sK9(xk)) = X0 )
| ( sK2(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk)))
| ( sdtasdt0(sK2(sK9(xk)),X0) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_24314,c_86]) ).
tcf(c_24330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK2(sK9(xk)),X0),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK3(sK9(xk)) = X0 )
| ( sK2(sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk)))
| ~ sdtlseqdt0(X0,sK3(sK9(xk))) ),
inference(superposition,[status(thm)],[c_24314,c_80]) ).
tcf(c_24331,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK3(sK9(xk)) = sz00 )
| ( sK2(sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk)))
| ( sdtasdt0(X0,sK3(sK9(xk))) != sK9(xk) ) ),
inference(superposition,[status(thm)],[c_24314,c_87]) ).
tcf(c_24332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK3(sK9(xk))),sK9(xk))
| ( sK9(xk) = sz00 )
| ( sK3(sK9(xk)) = sz00 )
| ( sK2(sK9(xk)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(sK9(xk)))
| ~ aNaturalNumber0(sK2(sK9(xk)))
| ~ sdtlseqdt0(X0,sK2(sK9(xk))) ),
inference(superposition,[status(thm)],[c_24314,c_82]) ).
tcf(c_24404,plain,
( ( sz10 = sK4 )
| ( sdtasdt0(sK4,sK8(sK4,sdtasdt0(xk,sK4))) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ sP0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_7296,c_50]) ).
tcf(c_24415,plain,
( ( sz10 = sK4 )
| ( sdtasdt0(xk,sK4) = sK4 )
| ~ aNaturalNumber0(sK4)
| ~ sP0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK8(sK4,sdtasdt0(xk,sK4))) ),
inference(light_normalisation,[status(thm)],[c_24404,c_7296]) ).
tcf(c_24472,plain,
( doDivides0(sdtasdt0(sK4,sK9(xk)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23896,c_275]) ).
tcf(c_24474,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(sK4,sK9(xk)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23896,c_80]) ).
tcf(c_24476,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sdtasdt0(sK4,sK9(xk)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23896,c_86]) ).
tcf(c_24477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(sK4,sK9(xk)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_23896,c_80]) ).
tcf(c_24481,plain,
doDivides0(sdtasdt0(sK4,sK9(xk)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_24472,c_92,c_23738]) ).
tcf(c_24482,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(sK4,sK9(xk)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24476,c_92,c_23738]) ).
tcf(c_24487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(sK4,sK9(xk)),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24477,c_92,c_23738]) ).
tcf(c_24493,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(sK4,sK9(xk)),X0))
| ( X0 = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24474,c_92,c_23738]) ).
tcf(c_24500,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ~ doDivides0(X0,sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_24481,c_110]) ).
tcf(c_24501,plain,
( ( sdtasdt0(sdtasdt0(sK4,sK9(xk)),sK8(sdtasdt0(sK4,sK9(xk)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_24481,c_101]) ).
tcf(c_24504,plain,
( doDivides0(sdtasdt0(sK4,sK9(xk)),xk)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_24481,c_19793]) ).
tcf(c_24505,plain,
doDivides0(sdtasdt0(sK4,sK9(xk)),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_24504,c_23738]) ).
tcf(c_24506,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK4,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24500,c_92,c_23738]) ).
tcf(c_24510,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),sK8(sdtasdt0(sK4,sK9(xk)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_24501,c_92,c_23738]) ).
tcf(c_24518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sK6(X0),xk) = sdtpldt0(xk,sK6(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_71,c_6393]) ).
tcf(c_24519,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( X0 = sz10 )
| ( sdtpldt0(sK7(X0),xk) = sdtpldt0(xk,sK7(X0)) )
| ~ sP1(X0) ),
inference(superposition,[status(thm)],[c_72,c_6393]) ).
tcf(c_24527,plain,
sdtpldt0(sK9(xk),xk) = sdtpldt0(xk,sK9(xk)),
inference(superposition,[status(thm)],[c_8359,c_6393]) ).
tcf(c_24534,plain,
sdtpldt0(sdtasdt0(xk,sK9(xk)),xk) = sdtpldt0(xk,sdtasdt0(xk,sK9(xk))),
inference(superposition,[status(thm)],[c_11479,c_6393]) ).
tcf(c_24536,plain,
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sK2(sK9(xk)),xk) = sdtpldt0(xk,sK2(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21030,c_6393]) ).
tcf(c_24537,plain,
( ( sK9(xk) = sz00 )
| ( sdtpldt0(sK3(sK9(xk)),xk) = sdtpldt0(xk,sK3(sK9(xk))) ) ),
inference(superposition,[status(thm)],[c_21165,c_6393]) ).
tcf(c_24538,plain,
sdtpldt0(sdtasdt0(sK4,sK9(xk)),xk) = sdtpldt0(xk,sdtasdt0(sK4,sK9(xk))),
inference(superposition,[status(thm)],[c_23738,c_6393]) ).
tcf(c_24993,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ~ doDivides0(X0,sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_24505,c_110]) ).
tcf(c_24994,plain,
( ( sdtasdt0(sdtasdt0(sK4,sK9(xk)),sK8(sdtasdt0(sK4,sK9(xk)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_24505,c_101]) ).
tcf(c_24996,plain,
( sdtlseqdt0(sdtasdt0(sK4,sK9(xk)),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_24505,c_107]) ).
tcf(c_24998,plain,
( sP1(sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_24505,c_77]) ).
tcf(c_24999,plain,
sP1(sdtasdt0(sK4,sK9(xk))),
inference(forward_subsumption_resolution,[status(thm)],[c_24998,c_23738]) ).
tcf(c_25000,plain,
sdtlseqdt0(sdtasdt0(sK4,sK9(xk)),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_24996,c_60,c_49,c_23738]) ).
tcf(c_25001,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK4,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24993,c_49,c_23738]) ).
tcf(c_25005,plain,
sdtasdt0(sdtasdt0(sK4,sK9(xk)),sK8(sdtasdt0(sK4,sK9(xk)),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_24994,c_49,c_23738]) ).
tcf(c_25006,plain,
( ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(sK4,sK9(xk))),sK7(sdtasdt0(sK4,sK9(xk)))) = sdtasdt0(sK4,sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_24999,c_73]) ).
tcf(c_25007,plain,
~ isPrime0(sdtasdt0(sK4,sK9(xk))),
inference(superposition,[status(thm)],[c_24999,c_75]) ).
tcf(c_25020,plain,
( ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(sK4,sK9(xk))),sK7(sdtasdt0(sK4,sK9(xk)))) = sK6(sdtasdt0(sK4,sK9(xk))) )
| ~ sP0(sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25006,c_50]) ).
tcf(c_25021,plain,
( sdtlseqdt0(sK6(sdtasdt0(sK4,sK9(xk))),sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(sK4,sK9(xk))) = sz00 )
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25006,c_78]) ).
tcf(c_25022,plain,
( doDivides0(sK6(sdtasdt0(sK4,sK9(xk))),sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25006,c_275]) ).
tcf(c_25023,plain,
( sP1(sK6(sdtasdt0(sK4,sK9(xk))))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ( sdtasdt0(sK4,sK9(xk)) != xk ) ),
inference(superposition,[status(thm)],[c_25006,c_76]) ).
tcf(c_25024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,sK9(xk)),sdtasdt0(sK6(sdtasdt0(sK4,sK9(xk))),X0))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(sK4,sK9(xk))) = X0 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ~ sdtlseqdt0(sK7(sdtasdt0(sK4,sK9(xk))),X0) ),
inference(superposition,[status(thm)],[c_25006,c_80]) ).
tcf(c_25025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK4,sK9(xk)),sdtasdt0(X0,sK7(sdtasdt0(sK4,sK9(xk)))))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(sK4,sK9(xk))) = sz00 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ~ sdtlseqdt0(sK6(sdtasdt0(sK4,sK9(xk))),X0) ),
inference(superposition,[status(thm)],[c_25006,c_82]) ).
tcf(c_25026,plain,
! [X0: $i] :
( ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(sK4,sK9(xk))) = X0 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ( sdtasdt0(sK6(sdtasdt0(sK4,sK9(xk))),X0) != sdtasdt0(sK4,sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_25006,c_86]) ).
tcf(c_25027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sdtasdt0(sK4,sK9(xk))),X0),sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(sK4,sK9(xk))) = X0 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ~ sdtlseqdt0(X0,sK7(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25006,c_80]) ).
tcf(c_25028,plain,
! [X0: $i] :
( ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(sK4,sK9(xk))) = sz00 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ( sdtasdt0(X0,sK7(sdtasdt0(sK4,sK9(xk)))) != sdtasdt0(sK4,sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_25006,c_87]) ).
tcf(c_25029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sdtasdt0(sK4,sK9(xk)))),sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK7(sdtasdt0(sK4,sK9(xk))) = sz00 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ~ sdtlseqdt0(X0,sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25006,c_82]) ).
tcf(c_25136,plain,
( ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sK6(sK6(sK4)) = sz10 )
| ( sdtasdt0(sK6(sK6(sK4)),sK7(sK6(sK4))) = sK6(sK6(sK4)) )
| ~ sP0(sK6(sK4))
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4))) ),
inference(superposition,[status(thm)],[c_19104,c_50]) ).
tcf(c_25137,plain,
( sdtlseqdt0(sK6(sK6(sK4)),sK6(sK4))
| ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sK7(sK6(sK4)) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4))) ),
inference(superposition,[status(thm)],[c_19104,c_78]) ).
tcf(c_25138,plain,
( doDivides0(sK6(sK6(sK4)),sK6(sK4))
| ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4))) ),
inference(superposition,[status(thm)],[c_19104,c_275]) ).
tcf(c_25139,plain,
( sP1(sK6(sK6(sK4)))
| ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4)))
| ( sK6(sK4) != xk ) ),
inference(superposition,[status(thm)],[c_19104,c_76]) ).
tcf(c_25140,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(sK4),sdtasdt0(sK6(sK6(sK4)),X0))
| ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sK7(sK6(sK4)) = X0 )
| ( sK6(sK6(sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4)))
| ~ sdtlseqdt0(sK7(sK6(sK4)),X0) ),
inference(superposition,[status(thm)],[c_19104,c_80]) ).
tcf(c_25141,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(sK4),sdtasdt0(X0,sK7(sK6(sK4))))
| ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sK7(sK6(sK4)) = sz00 )
| ( sK6(sK6(sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4)))
| ~ sdtlseqdt0(sK6(sK6(sK4)),X0) ),
inference(superposition,[status(thm)],[c_19104,c_82]) ).
tcf(c_25142,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sK7(sK6(sK4)) = X0 )
| ( sK6(sK6(sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4)))
| ( sdtasdt0(sK6(sK6(sK4)),X0) != sK6(sK4) ) ),
inference(superposition,[status(thm)],[c_19104,c_86]) ).
tcf(c_25143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK6(sK4)),X0),sK6(sK4))
| ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sK7(sK6(sK4)) = X0 )
| ( sK6(sK6(sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4)))
| ~ sdtlseqdt0(X0,sK7(sK6(sK4))) ),
inference(superposition,[status(thm)],[c_19104,c_80]) ).
tcf(c_25144,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sK7(sK6(sK4)) = sz00 )
| ( sK6(sK6(sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4)))
| ( sdtasdt0(X0,sK7(sK6(sK4))) != sK6(sK4) ) ),
inference(superposition,[status(thm)],[c_19104,c_87]) ).
tcf(c_25145,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK6(sK4))),sK6(sK4))
| ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ( sK7(sK6(sK4)) = sz00 )
| ( sK6(sK6(sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4)))
| ~ sdtlseqdt0(X0,sK6(sK6(sK4))) ),
inference(superposition,[status(thm)],[c_19104,c_82]) ).
tcf(c_25146,plain,
( aNaturalNumber0(sK6(sK4))
| ( sz00 = sK4 )
| ( sK6(sK4) = sz00 )
| ( sK6(sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK4)))
| ~ aNaturalNumber0(sK6(sK6(sK4))) ),
inference(superposition,[status(thm)],[c_19104,c_106]) ).
tcf(c_25272,plain,
( ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sK6(sK9(sK4)) = sz10 )
| ( sdtasdt0(sK6(sK9(sK4)),sK7(sK9(sK4))) = sK6(sK9(sK4)) )
| ~ sP0(sK9(sK4))
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4))) ),
inference(superposition,[status(thm)],[c_20512,c_50]) ).
tcf(c_25273,plain,
( sdtlseqdt0(sK6(sK9(sK4)),sK9(sK4))
| ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sK7(sK9(sK4)) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4))) ),
inference(superposition,[status(thm)],[c_20512,c_78]) ).
tcf(c_25274,plain,
( doDivides0(sK6(sK9(sK4)),sK9(sK4))
| ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4))) ),
inference(superposition,[status(thm)],[c_20512,c_275]) ).
tcf(c_25275,plain,
( sP1(sK6(sK9(sK4)))
| ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4)))
| ( sK9(sK4) != xk ) ),
inference(superposition,[status(thm)],[c_20512,c_76]) ).
tcf(c_25276,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(sK4),sdtasdt0(sK6(sK9(sK4)),X0))
| ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sK7(sK9(sK4)) = X0 )
| ( sK6(sK9(sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4)))
| ~ sdtlseqdt0(sK7(sK9(sK4)),X0) ),
inference(superposition,[status(thm)],[c_20512,c_80]) ).
tcf(c_25277,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(sK4),sdtasdt0(X0,sK7(sK9(sK4))))
| ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sK7(sK9(sK4)) = sz00 )
| ( sK6(sK9(sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4)))
| ~ sdtlseqdt0(sK6(sK9(sK4)),X0) ),
inference(superposition,[status(thm)],[c_20512,c_82]) ).
tcf(c_25278,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sK7(sK9(sK4)) = X0 )
| ( sK6(sK9(sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4)))
| ( sdtasdt0(sK6(sK9(sK4)),X0) != sK9(sK4) ) ),
inference(superposition,[status(thm)],[c_20512,c_86]) ).
tcf(c_25279,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK9(sK4)),X0),sK9(sK4))
| ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sK7(sK9(sK4)) = X0 )
| ( sK6(sK9(sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4)))
| ~ sdtlseqdt0(X0,sK7(sK9(sK4))) ),
inference(superposition,[status(thm)],[c_20512,c_80]) ).
tcf(c_25280,plain,
! [X0: $i] :
( ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sK7(sK9(sK4)) = sz00 )
| ( sK6(sK9(sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4)))
| ( sdtasdt0(X0,sK7(sK9(sK4))) != sK9(sK4) ) ),
inference(superposition,[status(thm)],[c_20512,c_87]) ).
tcf(c_25281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK9(sK4))),sK9(sK4))
| ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ( sK7(sK9(sK4)) = sz00 )
| ( sK6(sK9(sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4)))
| ~ sdtlseqdt0(X0,sK6(sK9(sK4))) ),
inference(superposition,[status(thm)],[c_20512,c_82]) ).
tcf(c_25282,plain,
( aNaturalNumber0(sK9(sK4))
| ( sz00 = sK4 )
| ( sK9(sK4) = sz00 )
| ( sK9(sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK4)))
| ~ aNaturalNumber0(sK6(sK9(sK4))) ),
inference(superposition,[status(thm)],[c_20512,c_106]) ).
tcf(c_25454,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ~ sdtlseqdt0(X0,sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_25000,c_124]) ).
tcf(c_25455,plain,
( ( sdtpldt0(sdtasdt0(sK4,sK9(xk)),sK10(sdtasdt0(sK4,sK9(xk)),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_25000,c_129]) ).
tcf(c_25456,plain,
( ( sdtasdt0(sK4,sK9(xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ~ sdtlseqdt0(xk,sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_25000,c_125]) ).
tcf(c_25457,plain,
( iLess0(sdtasdt0(sK4,sK9(xk)),xk)
| ( sdtasdt0(sK4,sK9(xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk))) ),
inference(superposition,[status(thm)],[c_25000,c_98]) ).
tcf(c_25458,plain,
( iLess0(sdtasdt0(sK4,sK9(xk)),xk)
| ( sdtasdt0(sK4,sK9(xk)) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25457,c_49,c_23738]) ).
tcf(c_25461,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(sK4,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25454,c_49,c_23738]) ).
tcf(c_25465,plain,
( ( sdtasdt0(sK4,sK9(xk)) = xk )
| ~ sdtlseqdt0(xk,sdtasdt0(sK4,sK9(xk))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25456,c_49,c_23738]) ).
tcf(c_25468,plain,
sdtpldt0(sdtasdt0(sK4,sK9(xk)),sK10(sdtasdt0(sK4,sK9(xk)),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_25455,c_49,c_23738]) ).
tcf(c_25920,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sK6(sK6(sK5)) = sz10 )
| ( sdtasdt0(sK6(sK6(sK5)),sK7(sK6(sK5))) = sK6(sK6(sK5)) )
| ~ sP0(sK6(sK5))
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5))) ),
inference(superposition,[status(thm)],[c_21601,c_50]) ).
tcf(c_25921,plain,
( sdtlseqdt0(sK6(sK6(sK5)),sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sK7(sK6(sK5)) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5))) ),
inference(superposition,[status(thm)],[c_21601,c_78]) ).
tcf(c_25922,plain,
( doDivides0(sK6(sK6(sK5)),sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5))) ),
inference(superposition,[status(thm)],[c_21601,c_275]) ).
tcf(c_25923,plain,
( sP1(sK6(sK6(sK5)))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5)))
| ( sK6(sK5) != xk ) ),
inference(superposition,[status(thm)],[c_21601,c_76]) ).
tcf(c_25924,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(sK5),sdtasdt0(sK6(sK6(sK5)),X0))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sK7(sK6(sK5)) = X0 )
| ( sK6(sK6(sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5)))
| ~ sdtlseqdt0(sK7(sK6(sK5)),X0) ),
inference(superposition,[status(thm)],[c_21601,c_80]) ).
tcf(c_25925,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(sK5),sdtasdt0(X0,sK7(sK6(sK5))))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sK7(sK6(sK5)) = sz00 )
| ( sK6(sK6(sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5)))
| ~ sdtlseqdt0(sK6(sK6(sK5)),X0) ),
inference(superposition,[status(thm)],[c_21601,c_82]) ).
tcf(c_25926,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sK7(sK6(sK5)) = X0 )
| ( sK6(sK6(sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5)))
| ( sdtasdt0(sK6(sK6(sK5)),X0) != sK6(sK5) ) ),
inference(superposition,[status(thm)],[c_21601,c_86]) ).
tcf(c_25927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK6(sK5)),X0),sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sK7(sK6(sK5)) = X0 )
| ( sK6(sK6(sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5)))
| ~ sdtlseqdt0(X0,sK7(sK6(sK5))) ),
inference(superposition,[status(thm)],[c_21601,c_80]) ).
tcf(c_25928,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sK7(sK6(sK5)) = sz00 )
| ( sK6(sK6(sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5)))
| ( sdtasdt0(X0,sK7(sK6(sK5))) != sK6(sK5) ) ),
inference(superposition,[status(thm)],[c_21601,c_87]) ).
tcf(c_25929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK6(sK5))),sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ( sK7(sK6(sK5)) = sz00 )
| ( sK6(sK6(sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5)))
| ~ sdtlseqdt0(X0,sK6(sK6(sK5))) ),
inference(superposition,[status(thm)],[c_21601,c_82]) ).
tcf(c_25930,plain,
( aNaturalNumber0(sK6(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz00 )
| ( sK6(sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK5)))
| ~ aNaturalNumber0(sK6(sK6(sK5))) ),
inference(superposition,[status(thm)],[c_21601,c_106]) ).
tcf(c_26069,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sK6(sK9(sK5)) = sz10 )
| ( sdtasdt0(sK6(sK9(sK5)),sK7(sK9(sK5))) = sK6(sK9(sK5)) )
| ~ sP0(sK9(sK5))
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5))) ),
inference(superposition,[status(thm)],[c_24160,c_50]) ).
tcf(c_26070,plain,
( sdtlseqdt0(sK6(sK9(sK5)),sK9(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sK7(sK9(sK5)) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5))) ),
inference(superposition,[status(thm)],[c_24160,c_78]) ).
tcf(c_26071,plain,
( doDivides0(sK6(sK9(sK5)),sK9(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5))) ),
inference(superposition,[status(thm)],[c_24160,c_275]) ).
tcf(c_26072,plain,
( sP1(sK6(sK9(sK5)))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5)))
| ( sK9(sK5) != xk ) ),
inference(superposition,[status(thm)],[c_24160,c_76]) ).
tcf(c_26073,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(sK5),sdtasdt0(sK6(sK9(sK5)),X0))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sK7(sK9(sK5)) = X0 )
| ( sK6(sK9(sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5)))
| ~ sdtlseqdt0(sK7(sK9(sK5)),X0) ),
inference(superposition,[status(thm)],[c_24160,c_80]) ).
tcf(c_26074,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(sK5),sdtasdt0(X0,sK7(sK9(sK5))))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sK7(sK9(sK5)) = sz00 )
| ( sK6(sK9(sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5)))
| ~ sdtlseqdt0(sK6(sK9(sK5)),X0) ),
inference(superposition,[status(thm)],[c_24160,c_82]) ).
tcf(c_26075,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sK7(sK9(sK5)) = X0 )
| ( sK6(sK9(sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5)))
| ( sdtasdt0(sK6(sK9(sK5)),X0) != sK9(sK5) ) ),
inference(superposition,[status(thm)],[c_24160,c_86]) ).
tcf(c_26076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK9(sK5)),X0),sK9(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sK7(sK9(sK5)) = X0 )
| ( sK6(sK9(sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5)))
| ~ sdtlseqdt0(X0,sK7(sK9(sK5))) ),
inference(superposition,[status(thm)],[c_24160,c_80]) ).
tcf(c_26077,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sK7(sK9(sK5)) = sz00 )
| ( sK6(sK9(sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5)))
| ( sdtasdt0(X0,sK7(sK9(sK5))) != sK9(sK5) ) ),
inference(superposition,[status(thm)],[c_24160,c_87]) ).
tcf(c_26078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK9(sK5))),sK9(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ( sK7(sK9(sK5)) = sz00 )
| ( sK6(sK9(sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5)))
| ~ sdtlseqdt0(X0,sK6(sK9(sK5))) ),
inference(superposition,[status(thm)],[c_24160,c_82]) ).
tcf(c_26079,plain,
( aNaturalNumber0(sK9(sK5))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK9(sK5) = sz00 )
| ( sK9(sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK5)))
| ~ aNaturalNumber0(sK6(sK9(sK5))) ),
inference(superposition,[status(thm)],[c_24160,c_106]) ).
tcf(c_26218,plain,
( ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK6(sK6(sK9(xk))) = sz10 )
| ( sdtasdt0(sK6(sK6(sK9(xk))),sK7(sK6(sK9(xk)))) = sK6(sK6(sK9(xk))) )
| ~ sP0(sK6(sK9(xk)))
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22405,c_50]) ).
tcf(c_26219,plain,
( sdtlseqdt0(sK6(sK6(sK9(xk))),sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK7(sK6(sK9(xk))) = sz00 )
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22405,c_78]) ).
tcf(c_26220,plain,
( doDivides0(sK6(sK6(sK9(xk))),sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22405,c_275]) ).
tcf(c_26221,plain,
( sP1(sK6(sK6(sK9(xk))))
| ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk))))
| ( sK6(sK9(xk)) != xk ) ),
inference(superposition,[status(thm)],[c_22405,c_76]) ).
tcf(c_26222,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(sK9(xk)),sdtasdt0(sK6(sK6(sK9(xk))),X0))
| ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK7(sK6(sK9(xk))) = X0 )
| ( sK6(sK6(sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk))))
| ~ sdtlseqdt0(sK7(sK6(sK9(xk))),X0) ),
inference(superposition,[status(thm)],[c_22405,c_80]) ).
tcf(c_26223,plain,
! [X0: $i] :
( sdtlseqdt0(sK6(sK9(xk)),sdtasdt0(X0,sK7(sK6(sK9(xk)))))
| ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK7(sK6(sK9(xk))) = sz00 )
| ( sK6(sK6(sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk))))
| ~ sdtlseqdt0(sK6(sK6(sK9(xk))),X0) ),
inference(superposition,[status(thm)],[c_22405,c_82]) ).
tcf(c_26224,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK7(sK6(sK9(xk))) = X0 )
| ( sK6(sK6(sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk))))
| ( sdtasdt0(sK6(sK6(sK9(xk))),X0) != sK6(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_22405,c_86]) ).
tcf(c_26225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK6(sK9(xk))),X0),sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK7(sK6(sK9(xk))) = X0 )
| ( sK6(sK6(sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk))))
| ~ sdtlseqdt0(X0,sK7(sK6(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22405,c_80]) ).
tcf(c_26226,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK7(sK6(sK9(xk))) = sz00 )
| ( sK6(sK6(sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk))))
| ( sdtasdt0(X0,sK7(sK6(sK9(xk)))) != sK6(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_22405,c_87]) ).
tcf(c_26227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK6(sK9(xk)))),sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ( sK7(sK6(sK9(xk))) = sz00 )
| ( sK6(sK6(sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk))))
| ~ sdtlseqdt0(X0,sK6(sK6(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22405,c_82]) ).
tcf(c_26228,plain,
( aNaturalNumber0(sK6(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK6(sK9(xk)) = sz00 )
| ( sK6(sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sK6(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK6(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22405,c_106]) ).
tcf(c_26407,plain,
( ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sK6(sK9(sK9(xk))) = sz10 )
| ( sdtasdt0(sK6(sK9(sK9(xk))),sK7(sK9(sK9(xk)))) = sK6(sK9(sK9(xk))) )
| ~ sP0(sK9(sK9(xk)))
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_23096,c_50]) ).
tcf(c_26408,plain,
( sdtlseqdt0(sK6(sK9(sK9(xk))),sK9(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sK7(sK9(sK9(xk))) = sz00 )
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_23096,c_78]) ).
tcf(c_26409,plain,
( doDivides0(sK6(sK9(sK9(xk))),sK9(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_23096,c_275]) ).
tcf(c_26410,plain,
( sP1(sK6(sK9(sK9(xk))))
| ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk))))
| ( sK9(sK9(xk)) != xk ) ),
inference(superposition,[status(thm)],[c_23096,c_76]) ).
tcf(c_26411,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(sK9(xk)),sdtasdt0(sK6(sK9(sK9(xk))),X0))
| ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sK7(sK9(sK9(xk))) = X0 )
| ( sK6(sK9(sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk))))
| ~ sdtlseqdt0(sK7(sK9(sK9(xk))),X0) ),
inference(superposition,[status(thm)],[c_23096,c_80]) ).
tcf(c_26412,plain,
! [X0: $i] :
( sdtlseqdt0(sK9(sK9(xk)),sdtasdt0(X0,sK7(sK9(sK9(xk)))))
| ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sK7(sK9(sK9(xk))) = sz00 )
| ( sK6(sK9(sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk))))
| ~ sdtlseqdt0(sK6(sK9(sK9(xk))),X0) ),
inference(superposition,[status(thm)],[c_23096,c_82]) ).
tcf(c_26413,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sK7(sK9(sK9(xk))) = X0 )
| ( sK6(sK9(sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk))))
| ( sdtasdt0(sK6(sK9(sK9(xk))),X0) != sK9(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_23096,c_86]) ).
tcf(c_26414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK9(sK9(xk))),X0),sK9(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sK7(sK9(sK9(xk))) = X0 )
| ( sK6(sK9(sK9(xk))) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk))))
| ~ sdtlseqdt0(X0,sK7(sK9(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_23096,c_80]) ).
tcf(c_26415,plain,
! [X0: $i] :
( ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sK7(sK9(sK9(xk))) = sz00 )
| ( sK6(sK9(sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk))))
| ( sdtasdt0(X0,sK7(sK9(sK9(xk)))) != sK9(sK9(xk)) ) ),
inference(superposition,[status(thm)],[c_23096,c_87]) ).
tcf(c_26416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK9(sK9(xk)))),sK9(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ( sK7(sK9(sK9(xk))) = sz00 )
| ( sK6(sK9(sK9(xk))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk))))
| ~ sdtlseqdt0(X0,sK6(sK9(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_23096,c_82]) ).
tcf(c_26417,plain,
( aNaturalNumber0(sK9(sK9(xk)))
| ( sK9(xk) = sz00 )
| ( sK9(sK9(xk)) = sz00 )
| ( sK9(sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sK9(sK9(xk))))
| ~ aNaturalNumber0(sK6(sK9(sK9(xk)))) ),
inference(superposition,[status(thm)],[c_23096,c_106]) ).
tcf(c_26711,plain,
( doDivides0(sdtpldt0(xk,sK4),xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26639,c_19793]) ).
tcf(c_26712,plain,
doDivides0(sdtpldt0(xk,sK4),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_26711,c_24714]) ).
tcf(c_26719,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ doDivides0(X0,sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26712,c_110]) ).
tcf(c_26720,plain,
( ( sdtasdt0(sdtpldt0(xk,sK4),sK8(sdtpldt0(xk,sK4),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26712,c_101]) ).
tcf(c_26722,plain,
( sdtlseqdt0(sdtpldt0(xk,sK4),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26712,c_107]) ).
tcf(c_26724,plain,
( sP1(sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26712,c_77]) ).
tcf(c_26725,plain,
sP1(sdtpldt0(xk,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_26724,c_24714]) ).
tcf(c_26726,plain,
sdtlseqdt0(sdtpldt0(xk,sK4),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_26722,c_60,c_49,c_24714]) ).
tcf(c_26727,plain,
sdtasdt0(sdtpldt0(xk,sK4),sK8(sdtpldt0(xk,sK4),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_26720,c_49,c_24714]) ).
tcf(c_26728,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26719,c_49,c_24714]) ).
tcf(c_26738,plain,
( ( sdtpldt0(xk,sK4) = sz00 )
| ( sdtpldt0(xk,sK4) = sz10 )
| ( sdtasdt0(sK6(sdtpldt0(xk,sK4)),sK7(sdtpldt0(xk,sK4))) = sdtpldt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_26725,c_73]) ).
tcf(c_26739,plain,
~ isPrime0(sdtpldt0(xk,sK4)),
inference(superposition,[status(thm)],[c_26725,c_75]) ).
tcf(c_26740,plain,
( ( sdtpldt0(xk,sK4) = sz10 )
| ( sdtasdt0(sK6(sdtpldt0(xk,sK4)),sK7(sdtpldt0(xk,sK4))) = sdtpldt0(xk,sK4) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26738,c_24719]) ).
tcf(c_26762,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ sdtlseqdt0(X0,sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26726,c_124]) ).
tcf(c_26763,plain,
( ( sdtpldt0(sdtpldt0(xk,sK4),sK10(sdtpldt0(xk,sK4),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26726,c_129]) ).
tcf(c_26764,plain,
( ( sdtpldt0(xk,sK4) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4))
| ~ sdtlseqdt0(xk,sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26726,c_125]) ).
tcf(c_26765,plain,
( iLess0(sdtpldt0(xk,sK4),xk)
| ( sdtpldt0(xk,sK4) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK4)) ),
inference(superposition,[status(thm)],[c_26726,c_98]) ).
tcf(c_26766,plain,
( iLess0(sdtpldt0(xk,sK4),xk)
| ( sdtpldt0(xk,sK4) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26765,c_49,c_24714]) ).
tcf(c_26769,plain,
( ( sdtpldt0(xk,sK4) = xk )
| ~ sdtlseqdt0(xk,sdtpldt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26764,c_49,c_24714]) ).
tcf(c_26772,plain,
sdtpldt0(sdtpldt0(xk,sK4),sK10(sdtpldt0(xk,sK4),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_26763,c_49,c_24714]) ).
tcf(c_26773,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xk,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26762,c_49,c_24714]) ).
tcf(c_26798,plain,
( ( sdtpldt0(xk,sK4) = sz10 )
| ( sK6(sdtpldt0(xk,sK4)) = sz10 )
| ( sdtasdt0(sK6(sdtpldt0(xk,sK4)),sK7(sdtpldt0(xk,sK4))) = sK6(sdtpldt0(xk,sK4)) )
| ~ sP0(sdtpldt0(xk,sK4))
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_26740,c_50]) ).
tcf(c_26799,plain,
( sdtlseqdt0(sK6(sdtpldt0(xk,sK4)),sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sz10 )
| ( sK7(sdtpldt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_26740,c_78]) ).
tcf(c_26800,plain,
( doDivides0(sK6(sdtpldt0(xk,sK4)),sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_26740,c_275]) ).
tcf(c_26801,plain,
( sP1(sK6(sdtpldt0(xk,sK4)))
| ( sdtpldt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4)))
| ( sdtpldt0(xk,sK4) != xk ) ),
inference(superposition,[status(thm)],[c_26740,c_76]) ).
tcf(c_26802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtasdt0(sK6(sdtpldt0(xk,sK4)),X0))
| ( sdtpldt0(xk,sK4) = sz10 )
| ( sK7(sdtpldt0(xk,sK4)) = X0 )
| ( sK6(sdtpldt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4)))
| ~ sdtlseqdt0(sK7(sdtpldt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_26740,c_80]) ).
tcf(c_26803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK4),sdtasdt0(X0,sK7(sdtpldt0(xk,sK4))))
| ( sdtpldt0(xk,sK4) = sz10 )
| ( sK7(sdtpldt0(xk,sK4)) = sz00 )
| ( sK6(sdtpldt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4)))
| ~ sdtlseqdt0(sK6(sdtpldt0(xk,sK4)),X0) ),
inference(superposition,[status(thm)],[c_26740,c_82]) ).
tcf(c_26804,plain,
! [X0: $i] :
( ( sdtpldt0(xk,sK4) = sz10 )
| ( sK7(sdtpldt0(xk,sK4)) = X0 )
| ( sK6(sdtpldt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4)))
| ( sdtasdt0(sK6(sdtpldt0(xk,sK4)),X0) != sdtpldt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_26740,c_86]) ).
tcf(c_26805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sdtpldt0(xk,sK4)),X0),sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sz10 )
| ( sK7(sdtpldt0(xk,sK4)) = X0 )
| ( sK6(sdtpldt0(xk,sK4)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK7(sdtpldt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_26740,c_80]) ).
tcf(c_26806,plain,
! [X0: $i] :
( ( sdtpldt0(xk,sK4) = sz10 )
| ( sK7(sdtpldt0(xk,sK4)) = sz00 )
| ( sK6(sdtpldt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4)))
| ( sdtasdt0(X0,sK7(sdtpldt0(xk,sK4))) != sdtpldt0(xk,sK4) ) ),
inference(superposition,[status(thm)],[c_26740,c_87]) ).
tcf(c_26807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sdtpldt0(xk,sK4))),sdtpldt0(xk,sK4))
| ( sdtpldt0(xk,sK4) = sz10 )
| ( sK7(sdtpldt0(xk,sK4)) = sz00 )
| ( sK6(sdtpldt0(xk,sK4)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK4)))
| ~ sdtlseqdt0(X0,sK6(sdtpldt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_26740,c_82]) ).
tcf(c_26926,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ~ doDivides0(X0,sK6(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20911,c_110]) ).
tcf(c_26927,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK5)),sK8(sK6(sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20911,c_101]) ).
tcf(c_26928,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sK6(sdtasdt0(xk,sK5)) = sz10 )
| ( sK6(sdtasdt0(xk,sK5)) = sdtasdt0(xk,sK5) )
| ~ sP0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20911,c_51]) ).
tcf(c_26929,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ~ aNaturalNumber0(sdtasdt0(xk,sK5))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_20911,c_107]) ).
tcf(c_26930,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26929,c_6553]) ).
tcf(c_26936,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK5))
| ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5)))
| ~ doDivides0(X0,sK6(sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26926,c_6553]) ).
tcf(c_26951,plain,
( ( sdtasdt0(xk,sK5) = sz00 )
| ( sdtasdt0(xk,sK5) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK5)),sK8(sK6(sdtasdt0(xk,sK5)),sdtasdt0(xk,sK5))) = sdtasdt0(xk,sK5) )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26927,c_6553]) ).
tcf(c_26979,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ~ doDivides0(X0,sK6(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21622,c_110]) ).
tcf(c_26980,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK4)),sK8(sK6(sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21622,c_101]) ).
tcf(c_26981,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sK6(sdtasdt0(xk,sK4)) = sz10 )
| ( sK6(sdtasdt0(xk,sK4)) = sdtasdt0(xk,sK4) )
| ~ sP0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21622,c_51]) ).
tcf(c_26982,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(sdtasdt0(xk,sK4))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4))) ),
inference(superposition,[status(thm)],[c_21622,c_107]) ).
tcf(c_26983,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26982,c_6521]) ).
tcf(c_26989,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK4))
| ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4)))
| ~ doDivides0(X0,sK6(sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26979,c_6521]) ).
tcf(c_27004,plain,
( ( sdtasdt0(xk,sK4) = sz00 )
| ( sdtasdt0(xk,sK4) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK4)),sK8(sK6(sdtasdt0(xk,sK4)),sdtasdt0(xk,sK4))) = sdtasdt0(xk,sK4) )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK4)))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26980,c_6521]) ).
tcf(c_27040,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz10 )
| ( sdtasdt0(sK6(sK5),sK7(sK5)) = sK6(sK5) )
| ~ sP1(sK5)
| ~ sP0(sK5)
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(superposition,[status(thm)],[c_72,c_20246]) ).
tcf(c_27041,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz10 )
| ( sdtasdt0(sK6(sK5),sK7(sK5)) = sK6(sK5) )
| ~ sP0(sK5)
| ~ aNaturalNumber0(sK6(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27040,c_20217]) ).
tcf(c_27066,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz10 )
| ( sdtasdt0(sK6(sK5),sK7(sK5)) = sK6(sK5) )
| ~ sP1(sK5)
| ~ sP0(sK5) ),
inference(superposition,[status(thm)],[c_71,c_27041]) ).
tcf(c_27067,plain,
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK6(sK5) = sz10 )
| ( sdtasdt0(sK6(sK5),sK7(sK5)) = sK6(sK5) )
| ~ sP0(sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27066,c_20217]) ).
tcf(c_27085,plain,
( ( sz00 = sK4 )
| ( sK3(sK4) = sz10 )
| ( sdtasdt0(sK3(sK4),xk) = sK3(sK4) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK3(sK4))
| ~ sP0(sdtasdt0(xk,sK3(sK4))) ),
inference(superposition,[status(thm)],[c_7358,c_50]) ).
tcf(c_27118,plain,
( ( sz00 = sK4 )
| ( sK3(sK4) = sz10 )
| ( sdtasdt0(sK3(sK4),xk) = sK3(sK4) )
| ~ aNaturalNumber0(sK3(sK4))
| ~ sP0(sdtasdt0(xk,sK3(sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27085,c_49]) ).
tcf(c_27371,plain,
( doDivides0(sdtpldt0(xk,sK5),xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27248,c_19793]) ).
tcf(c_27372,plain,
doDivides0(sdtpldt0(xk,sK5),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_27371,c_25483]) ).
tcf(c_27407,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5))
| ~ doDivides0(X0,sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27372,c_110]) ).
tcf(c_27408,plain,
( ( sdtasdt0(sdtpldt0(xk,sK5),sK8(sdtpldt0(xk,sK5),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27372,c_101]) ).
tcf(c_27410,plain,
( sdtlseqdt0(sdtpldt0(xk,sK5),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27372,c_107]) ).
tcf(c_27412,plain,
( sP1(sdtpldt0(xk,sK5))
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27372,c_77]) ).
tcf(c_27413,plain,
sP1(sdtpldt0(xk,sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_27412,c_25483]) ).
tcf(c_27414,plain,
sdtlseqdt0(sdtpldt0(xk,sK5),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_27410,c_60,c_49,c_25483]) ).
tcf(c_27415,plain,
sdtasdt0(sdtpldt0(xk,sK5),sK8(sdtpldt0(xk,sK5),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_27408,c_49,c_25483]) ).
tcf(c_27416,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27407,c_49,c_25483]) ).
tcf(c_27420,plain,
( ( sdtpldt0(xk,sK5) = sz00 )
| ( sdtpldt0(xk,sK5) = sz10 )
| ( sdtasdt0(sK6(sdtpldt0(xk,sK5)),sK7(sdtpldt0(xk,sK5))) = sdtpldt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_27413,c_73]) ).
tcf(c_27421,plain,
~ isPrime0(sdtpldt0(xk,sK5)),
inference(superposition,[status(thm)],[c_27413,c_75]) ).
tcf(c_27422,plain,
( ( sdtpldt0(xk,sK5) = sz10 )
| ( sdtasdt0(sK6(sdtpldt0(xk,sK5)),sK7(sdtpldt0(xk,sK5))) = sdtpldt0(xk,sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27420,c_25488]) ).
tcf(c_27508,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5))
| ~ sdtlseqdt0(X0,sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27414,c_124]) ).
tcf(c_27509,plain,
( ( sdtpldt0(sdtpldt0(xk,sK5),sK10(sdtpldt0(xk,sK5),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27414,c_129]) ).
tcf(c_27510,plain,
( ( sdtpldt0(xk,sK5) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5))
| ~ sdtlseqdt0(xk,sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27414,c_125]) ).
tcf(c_27511,plain,
( iLess0(sdtpldt0(xk,sK5),xk)
| ( sdtpldt0(xk,sK5) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(xk,sK5)) ),
inference(superposition,[status(thm)],[c_27414,c_98]) ).
tcf(c_27512,plain,
( iLess0(sdtpldt0(xk,sK5),xk)
| ( sdtpldt0(xk,sK5) = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27511,c_49,c_25483]) ).
tcf(c_27515,plain,
( ( sdtpldt0(xk,sK5) = xk )
| ~ sdtlseqdt0(xk,sdtpldt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27510,c_49,c_25483]) ).
tcf(c_27518,plain,
sdtpldt0(sdtpldt0(xk,sK5),sK10(sdtpldt0(xk,sK5),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_27509,c_49,c_25483]) ).
tcf(c_27519,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xk,sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27508,c_49,c_25483]) ).
tcf(c_27548,plain,
( ( sdtpldt0(xk,sK5) = sz10 )
| ( sK6(sdtpldt0(xk,sK5)) = sz10 )
| ( sdtasdt0(sK6(sdtpldt0(xk,sK5)),sK7(sdtpldt0(xk,sK5))) = sK6(sdtpldt0(xk,sK5)) )
| ~ sP0(sdtpldt0(xk,sK5))
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_27422,c_50]) ).
tcf(c_27549,plain,
( sdtlseqdt0(sK6(sdtpldt0(xk,sK5)),sdtpldt0(xk,sK5))
| ( sdtpldt0(xk,sK5) = sz10 )
| ( sK7(sdtpldt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_27422,c_78]) ).
tcf(c_27550,plain,
( doDivides0(sK6(sdtpldt0(xk,sK5)),sdtpldt0(xk,sK5))
| ( sdtpldt0(xk,sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_27422,c_275]) ).
tcf(c_27551,plain,
( sP1(sK6(sdtpldt0(xk,sK5)))
| ( sdtpldt0(xk,sK5) = sz10 )
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5)))
| ( sdtpldt0(xk,sK5) != xk ) ),
inference(superposition,[status(thm)],[c_27422,c_76]) ).
tcf(c_27552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK5),sdtasdt0(sK6(sdtpldt0(xk,sK5)),X0))
| ( sdtpldt0(xk,sK5) = sz10 )
| ( sK7(sdtpldt0(xk,sK5)) = X0 )
| ( sK6(sdtpldt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5)))
| ~ sdtlseqdt0(sK7(sdtpldt0(xk,sK5)),X0) ),
inference(superposition,[status(thm)],[c_27422,c_80]) ).
tcf(c_27553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xk,sK5),sdtasdt0(X0,sK7(sdtpldt0(xk,sK5))))
| ( sdtpldt0(xk,sK5) = sz10 )
| ( sK7(sdtpldt0(xk,sK5)) = sz00 )
| ( sK6(sdtpldt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5)))
| ~ sdtlseqdt0(sK6(sdtpldt0(xk,sK5)),X0) ),
inference(superposition,[status(thm)],[c_27422,c_82]) ).
tcf(c_27554,plain,
! [X0: $i] :
( ( sdtpldt0(xk,sK5) = sz10 )
| ( sK7(sdtpldt0(xk,sK5)) = X0 )
| ( sK6(sdtpldt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5)))
| ( sdtasdt0(sK6(sdtpldt0(xk,sK5)),X0) != sdtpldt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_27422,c_86]) ).
tcf(c_27555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sdtpldt0(xk,sK5)),X0),sdtpldt0(xk,sK5))
| ( sdtpldt0(xk,sK5) = sz10 )
| ( sK7(sdtpldt0(xk,sK5)) = X0 )
| ( sK6(sdtpldt0(xk,sK5)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5)))
| ~ sdtlseqdt0(X0,sK7(sdtpldt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_27422,c_80]) ).
tcf(c_27556,plain,
! [X0: $i] :
( ( sdtpldt0(xk,sK5) = sz10 )
| ( sK7(sdtpldt0(xk,sK5)) = sz00 )
| ( sK6(sdtpldt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5)))
| ( sdtasdt0(X0,sK7(sdtpldt0(xk,sK5))) != sdtpldt0(xk,sK5) ) ),
inference(superposition,[status(thm)],[c_27422,c_87]) ).
tcf(c_27557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sdtpldt0(xk,sK5))),sdtpldt0(xk,sK5))
| ( sdtpldt0(xk,sK5) = sz10 )
| ( sK7(sdtpldt0(xk,sK5)) = sz00 )
| ( sK6(sdtpldt0(xk,sK5)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtpldt0(xk,sK5)))
| ~ aNaturalNumber0(sK6(sdtpldt0(xk,sK5)))
| ~ sdtlseqdt0(X0,sK6(sdtpldt0(xk,sK5))) ),
inference(superposition,[status(thm)],[c_27422,c_82]) ).
tcf(c_27727,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ~ doDivides0(X0,sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22177,c_110]) ).
tcf(c_27728,plain,
( ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK9(xk))),sK8(sK6(sdtasdt0(xk,sK9(xk))),sdtasdt0(xk,sK9(xk)))) = sdtasdt0(xk,sK9(xk)) )
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22177,c_101]) ).
tcf(c_27729,plain,
( ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = sz10 )
| ( sK6(sdtasdt0(xk,sK9(xk))) = sdtasdt0(xk,sK9(xk)) )
| ~ sP0(sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22177,c_51]) ).
tcf(c_27730,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK9(xk))),sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sdtasdt0(xk,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_22177,c_107]) ).
tcf(c_27731,plain,
( sdtlseqdt0(sK6(sdtasdt0(xk,sK9(xk))),sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27730,c_11479]) ).
tcf(c_27737,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xk,sK9(xk)))
| ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk))))
| ~ doDivides0(X0,sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27727,c_11479]) ).
tcf(c_27752,plain,
( ( sdtasdt0(xk,sK9(xk)) = sz00 )
| ( sdtasdt0(xk,sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(xk,sK9(xk))),sK8(sK6(sdtasdt0(xk,sK9(xk))),sdtasdt0(xk,sK9(xk)))) = sdtasdt0(xk,sK9(xk)) )
| ~ aNaturalNumber0(sK7(sdtasdt0(xk,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(xk,sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27728,c_11479]) ).
tcf(c_27770,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ~ doDivides0(X0,sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25022,c_110]) ).
tcf(c_27771,plain,
( ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(sK4,sK9(xk))),sK8(sK6(sdtasdt0(sK4,sK9(xk))),sdtasdt0(sK4,sK9(xk)))) = sdtasdt0(sK4,sK9(xk)) )
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25022,c_101]) ).
tcf(c_27772,plain,
( ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = sz10 )
| ( sK6(sdtasdt0(sK4,sK9(xk))) = sdtasdt0(sK4,sK9(xk)) )
| ~ sP0(sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25022,c_51]) ).
tcf(c_27773,plain,
( sdtlseqdt0(sK6(sdtasdt0(sK4,sK9(xk))),sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sdtasdt0(sK4,sK9(xk)))
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(superposition,[status(thm)],[c_25022,c_107]) ).
tcf(c_27774,plain,
( sdtlseqdt0(sK6(sdtasdt0(sK4,sK9(xk))),sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27773,c_23738]) ).
tcf(c_27780,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(sK4,sK9(xk)))
| ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk))))
| ~ doDivides0(X0,sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27770,c_23738]) ).
tcf(c_27795,plain,
( ( sdtasdt0(sK4,sK9(xk)) = sz00 )
| ( sdtasdt0(sK4,sK9(xk)) = sz10 )
| ( sdtasdt0(sK6(sdtasdt0(sK4,sK9(xk))),sK8(sK6(sdtasdt0(sK4,sK9(xk))),sdtasdt0(sK4,sK9(xk)))) = sdtasdt0(sK4,sK9(xk)) )
| ~ aNaturalNumber0(sK7(sdtasdt0(sK4,sK9(xk))))
| ~ aNaturalNumber0(sK6(sdtasdt0(sK4,sK9(xk)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27771,c_23738]) ).
tcf(c_28006,plain,
( doDivides0(sdtpldt0(sz10,xk),xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_27986,c_19793]) ).
tcf(c_28007,plain,
doDivides0(sdtpldt0(sz10,xk),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_28006,c_25715]) ).
tcf(c_28098,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ doDivides0(X0,sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_28007,c_110]) ).
tcf(c_28099,plain,
( ( sdtasdt0(sdtpldt0(sz10,xk),sK8(sdtpldt0(sz10,xk),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_28007,c_101]) ).
tcf(c_28101,plain,
( sdtlseqdt0(sdtpldt0(sz10,xk),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_28007,c_107]) ).
tcf(c_28103,plain,
( sP1(sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_28007,c_77]) ).
tcf(c_28104,plain,
sP1(sdtpldt0(sz10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_28103,c_25715]) ).
tcf(c_28105,plain,
sdtlseqdt0(sdtpldt0(sz10,xk),xk),
inference(forward_subsumption_resolution,[status(thm)],[c_28101,c_60,c_49,c_25715]) ).
tcf(c_28106,plain,
sdtasdt0(sdtpldt0(sz10,xk),sK8(sdtpldt0(sz10,xk),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_28099,c_49,c_25715]) ).
tcf(c_28107,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28098,c_49,c_25715]) ).
tcf(c_28111,plain,
( ( sdtpldt0(sz10,xk) = sz00 )
| ( sdtpldt0(sz10,xk) = sz10 )
| ( sdtasdt0(sK6(sdtpldt0(sz10,xk)),sK7(sdtpldt0(sz10,xk))) = sdtpldt0(sz10,xk) ) ),
inference(superposition,[status(thm)],[c_28104,c_73]) ).
tcf(c_28112,plain,
~ isPrime0(sdtpldt0(sz10,xk)),
inference(superposition,[status(thm)],[c_28104,c_75]) ).
tcf(c_28113,plain,
( ( sdtpldt0(sz10,xk) = sz10 )
| ( sdtasdt0(sK6(sdtpldt0(sz10,xk)),sK7(sdtpldt0(sz10,xk))) = sdtpldt0(sz10,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28111,c_25717]) ).
tcf(c_28132,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_28105,c_124]) ).
tcf(c_28133,plain,
( ( sdtpldt0(sdtpldt0(sz10,xk),sK10(sdtpldt0(sz10,xk),xk)) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_28105,c_129]) ).
tcf(c_28134,plain,
( ( sdtpldt0(sz10,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ sdtlseqdt0(xk,sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_28105,c_125]) ).
tcf(c_28135,plain,
( iLess0(sdtpldt0(sz10,xk),xk)
| ( sdtpldt0(sz10,xk) = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_28105,c_98]) ).
tcf(c_28139,plain,
sdtpldt0(sz10,xk) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_28134,c_49,c_25715,c_25716]) ).
tcf(c_28140,plain,
sdtpldt0(sdtpldt0(sz10,xk),sK10(sdtpldt0(sz10,xk),xk)) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_28133,c_49,c_25715]) ).
tcf(c_28141,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28132,c_49,c_25715]) ).
tcf(c_28154,plain,
sdtpldt0(xk,sz10) = xk,
inference(demodulation,[status(thm)],[c_24521,c_28139]) ).
tcf(c_28180,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK6(sK5),X0))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X1,sK5)
| ~ sdtlseqdt0(sK7(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(superposition,[status(thm)],[c_20250,c_124]) ).
tcf(c_28181,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtpldt0(sK5,sK10(sK5,sdtasdt0(sK6(sK5),X0))) = sdtasdt0(sK6(sK5),X0) )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK7(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(superposition,[status(thm)],[c_20250,c_129]) ).
tcf(c_28182,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtasdt0(sK6(sK5),X0) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK7(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0))
| ~ sdtlseqdt0(sdtasdt0(sK6(sK5),X0),sK5) ),
inference(superposition,[status(thm)],[c_20250,c_125]) ).
tcf(c_28183,plain,
! [X0: $i] :
( iLess0(sK5,sdtasdt0(sK6(sK5),X0))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtasdt0(sK6(sK5),X0) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK7(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(superposition,[status(thm)],[c_20250,c_98]) ).
tcf(c_28184,plain,
! [X0: $i] :
( iLess0(sK5,sdtasdt0(sK6(sK5),X0))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtasdt0(sK6(sK5),X0) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK7(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28183,c_65]) ).
tcf(c_28196,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sK6(sK5),X0))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X1,sK5)
| ~ sdtlseqdt0(sK7(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28180,c_65]) ).
tcf(c_28209,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtasdt0(sK6(sK5),X0) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK7(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0))
| ~ sdtlseqdt0(sdtasdt0(sK6(sK5),X0),sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28182,c_65]) ).
tcf(c_28221,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtpldt0(sK5,sK10(sK5,sdtasdt0(sK6(sK5),X0))) = sdtasdt0(sK6(sK5),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK7(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28181,c_65]) ).
tcf(c_28255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,sK7(sK5)))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X1,sK5)
| ~ sdtlseqdt0(sK6(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(superposition,[status(thm)],[c_20251,c_124]) ).
tcf(c_28256,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtpldt0(sK5,sK10(sK5,sdtasdt0(X0,sK7(sK5)))) = sdtasdt0(X0,sK7(sK5)) )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK6(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(superposition,[status(thm)],[c_20251,c_129]) ).
tcf(c_28257,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtasdt0(X0,sK7(sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK6(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5)))
| ~ sdtlseqdt0(sdtasdt0(X0,sK7(sK5)),sK5) ),
inference(superposition,[status(thm)],[c_20251,c_125]) ).
tcf(c_28258,plain,
! [X0: $i] :
( iLess0(sK5,sdtasdt0(X0,sK7(sK5)))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtasdt0(X0,sK7(sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK6(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(superposition,[status(thm)],[c_20251,c_98]) ).
tcf(c_28259,plain,
! [X0: $i] :
( iLess0(sK5,sdtasdt0(X0,sK7(sK5)))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtasdt0(X0,sK7(sK5)) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK6(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28258,c_65]) ).
tcf(c_28271,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X0,sK7(sK5)))
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X1,sK5)
| ~ sdtlseqdt0(sK6(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28255,c_65]) ).
tcf(c_28284,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtasdt0(X0,sK7(sK5)) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK6(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5)))
| ~ sdtlseqdt0(sdtasdt0(X0,sK7(sK5)),sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28257,c_65]) ).
tcf(c_28296,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtpldt0(sK5,sK10(sK5,sdtasdt0(X0,sK7(sK5)))) = sdtasdt0(X0,sK7(sK5)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(sK6(sK5),X0)
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28256,c_65]) ).
tcf(c_28330,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X1 )
| ( sK6(sK5) = sz00 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X1,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK6(sK5),X1)) ),
inference(superposition,[status(thm)],[c_20253,c_124]) ).
tcf(c_28331,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(sK5),X0),sK10(sdtasdt0(sK6(sK5),X0),sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(superposition,[status(thm)],[c_20253,c_129]) ).
tcf(c_28332,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtasdt0(sK6(sK5),X0) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0))
| ~ sdtlseqdt0(sK5,sdtasdt0(sK6(sK5),X0)) ),
inference(superposition,[status(thm)],[c_20253,c_125]) ).
tcf(c_28333,plain,
! [X0: $i] :
( iLess0(sdtasdt0(sK6(sK5),X0),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtasdt0(sK6(sK5),X0) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(superposition,[status(thm)],[c_20253,c_98]) ).
tcf(c_28334,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6(sK5),X0),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(superposition,[status(thm)],[c_20253,c_20502]) ).
tcf(c_28345,plain,
! [X0: $i] :
( iLess0(sdtasdt0(sK6(sK5),X0),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtasdt0(sK6(sK5),X0) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28333,c_65]) ).
tcf(c_28357,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X1 )
| ( sK6(sK5) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X1,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X1))
| ~ sdtlseqdt0(X0,sdtasdt0(sK6(sK5),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28330,c_65]) ).
tcf(c_28370,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtasdt0(sK6(sK5),X0) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0))
| ~ sdtlseqdt0(sK5,sdtasdt0(sK6(sK5),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28332,c_65]) ).
tcf(c_28382,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = X0 )
| ( sK6(sK5) = sz00 )
| ( sdtpldt0(sdtasdt0(sK6(sK5),X0),sK10(sdtasdt0(sK6(sK5),X0),sK5)) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK7(sK5))
| ~ aNaturalNumber0(sdtasdt0(sK6(sK5),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28331,c_65]) ).
tcf(c_28416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X1 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X1,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X1,sK7(sK5)))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,sK7(sK5))) ),
inference(superposition,[status(thm)],[c_20255,c_124]) ).
tcf(c_28417,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtpldt0(sdtasdt0(X0,sK7(sK5)),sK10(sdtasdt0(X0,sK7(sK5)),sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(superposition,[status(thm)],[c_20255,c_129]) ).
tcf(c_28418,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtasdt0(X0,sK7(sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5)))
| ~ sdtlseqdt0(sK5,sdtasdt0(X0,sK7(sK5))) ),
inference(superposition,[status(thm)],[c_20255,c_125]) ).
tcf(c_28419,plain,
! [X0: $i] :
( iLess0(sdtasdt0(X0,sK7(sK5)),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtasdt0(X0,sK7(sK5)) = sK5 )
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(superposition,[status(thm)],[c_20255,c_98]) ).
tcf(c_28420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7(sK5)),xk)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(superposition,[status(thm)],[c_20255,c_20502]) ).
tcf(c_28431,plain,
! [X0: $i] :
( iLess0(sdtasdt0(X0,sK7(sK5)),sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtasdt0(X0,sK7(sK5)) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28419,c_65]) ).
tcf(c_28443,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK5)
| ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X1,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X1,sK7(sK5)))
| ~ sdtlseqdt0(X0,sdtasdt0(X1,sK7(sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28416,c_65]) ).
tcf(c_28456,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtasdt0(X0,sK7(sK5)) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5)))
| ~ sdtlseqdt0(sK5,sdtasdt0(X0,sK7(sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28418,c_65]) ).
tcf(c_28468,plain,
! [X0: $i] :
( ( sz00 = sK5 )
| ( sz10 = sK5 )
| ( sK7(sK5) = sz00 )
| ( sK6(sK5) = X0 )
| ( sdtpldt0(sdtasdt0(X0,sK7(sK5)),sK10(sdtasdt0(X0,sK7(sK5)),sK5)) = sK5 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK7(sK5))
| ~ aNaturalNumber0(sK6(sK5))
| ~ sdtlseqdt0(X0,sK6(sK5))
| ~ aNaturalNumber0(sdtasdt0(X0,sK7(sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28417,c_65]) ).
tcf(c_28490,plain,
( ( sz00 = sK4 )
| ( sK3(sK4) = sz10 )
| ( sdtasdt0(sK3(sK4),sz10) = sK3(sK4) )
| ~ aNaturalNumber0(sz10)
| ~ sP0(sK3(sK4))
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(superposition,[status(thm)],[c_7362,c_50]) ).
tcf(c_28514,plain,
( ( sz00 = sK4 )
| ( sK3(sK4) = sz10 )
| ( sdtasdt0(sK3(sK4),sz10) = sK3(sK4) )
| ~ sP0(sK3(sK4))
| ~ aNaturalNumber0(sK3(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28490,c_96]) ).
tcf(c_28591,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_28555,c_28548,c_28540,c_28533,c_28526,c_28520,c_28514,c_28510,c_28505,c_28501,c_28499,c_28497,c_28495,c_28494,c_28493,c_28492,c_28491,c_28490,c_28496,c_28498,c_28468,c_28456,c_28443,c_28431,c_28420,c_28419,c_28418,c_28417,c_28416,c_28382,c_28370,c_28357,c_28345,c_28334,c_28333,c_28332,c_28331,c_28330,c_28296,c_28284,c_28271,c_28259,c_28258,c_28257,c_28256,c_28255,c_28221,c_28209,c_28196,c_28184,c_28183,c_28182,c_28181,c_28180,c_28154,c_28141,c_28140,c_28139,c_28135,c_28134,c_28133,c_28132,c_28127,c_28126,c_28123,c_28120,c_28119,c_28118,c_28117,c_28116,c_28113,c_28112,c_28111,c_28107,c_28106,c_28105,c_28104,c_28103,c_28101,c_28099,c_28098,c_28092,c_28091,c_28087,c_28086,c_28052,c_28047,c_28042,c_28037,c_28033,c_28029,c_28028,c_28027,c_28025,c_28023,c_28021,c_28020,c_28018,c_28017,c_28022,c_28024,c_28009,c_28008,c_28007,c_28006,c_28003,c_28002,c_27996,c_27991,c_27987,c_27986,c_27982,c_27979,c_27977,c_27981,c_27960,c_27952,c_27945,c_27937,c_27930,c_27924,c_27919,c_27915,c_27913,c_27911,c_27909,c_27908,c_27906,c_27905,c_27910,c_27912,c_27795,c_27780,c_27774,c_27773,c_27772,c_27771,c_27770,c_27752,c_27737,c_27731,c_27730,c_27729,c_27728,c_27727,c_27557,c_27555,c_27553,c_27552,c_27551,c_27550,c_27549,c_27548,c_27554,c_27556,c_27523,c_27519,c_27518,c_27515,c_27512,c_27511,c_27510,c_27509,c_27508,c_27422,c_27421,c_27420,c_27416,c_27415,c_27414,c_27413,c_27412,c_27410,c_27408,c_27407,c_27401,c_27396,c_27392,c_27390,c_27386,c_27389,c_27374,c_27373,c_27372,c_27371,c_27368,c_27367,c_27258,c_27253,c_27249,c_27248,c_27244,c_27241,c_27239,c_27243,c_27229,c_27224,c_27220,c_27218,c_27214,c_27217,c_27159,c_27152,c_27144,c_27137,c_27130,c_27124,c_27118,c_27113,c_27109,c_27104,c_27100,c_27096,c_27095,c_27094,c_27092,c_27090,c_27089,c_27088,c_27087,c_27086,c_27085,c_27084,c_27091,c_27093,c_27067,c_27066,c_27041,c_27040,c_27004,c_26989,c_26983,c_26982,c_26981,c_26980,c_26979,c_26807,c_26805,c_26803,c_26802,c_26801,c_26800,c_26799,c_26798,c_26804,c_26806,c_26773,c_26772,c_26769,c_26766,c_26765,c_26764,c_26763,c_26762,c_26740,c_26739,c_26738,c_26728,c_26727,c_26726,c_26725,c_26724,c_26722,c_26720,c_26719,c_26714,c_26713,c_26712,c_26711,c_26708,c_26707,c_26649,c_26644,c_26640,c_26639,c_26635,c_26632,c_26630,c_26634,c_26620,c_26615,c_26611,c_26609,c_26605,c_26608,c_26592,c_26591,c_26588,c_26585,c_26584,c_26583,c_26582,c_26581,c_26571,c_26564,c_26557,c_26550,c_26544,c_26538,c_26534,c_26530,c_26528,c_26526,c_26524,c_26523,c_26520,c_26518,c_26525,c_26527,c_26417,c_26416,c_26414,c_26412,c_26411,c_26410,c_26409,c_26408,c_26407,c_26413,c_26415,c_26228,c_26227,c_26225,c_26223,c_26222,c_26221,c_26220,c_26219,c_26218,c_26224,c_26226,c_26079,c_26078,c_26076,c_26074,c_26073,c_26072,c_26071,c_26070,c_26069,c_26075,c_26077,c_25930,c_25929,c_25927,c_25925,c_25924,c_25923,c_25922,c_25921,c_25920,c_25926,c_25928,c_25779,c_25778,c_25777,c_25776,c_25775,c_25774,c_25773,c_25772,c_25771,c_25770,c_25769,c_25768,c_25767,c_25766,c_25765,c_25764,c_25763,c_25762,c_25751,c_25746,c_25741,c_25736,c_25731,c_25726,c_25722,c_25718,c_25717,c_25716,c_25715,c_25713,c_25711,c_25710,c_25709,c_25708,c_25707,c_25706,c_25705,c_25712,c_25714,c_25701,c_25696,c_25695,c_25692,c_25689,c_25688,c_25687,c_25686,c_25685,c_25608,c_25607,c_25606,c_25605,c_25604,c_25603,c_25602,c_25601,c_25600,c_25599,c_25598,c_25597,c_25596,c_25595,c_25594,c_25593,c_25592,c_25591,c_25518,c_25513,c_25508,c_25503,c_25498,c_25493,c_25489,c_25488,c_25484,c_25483,c_25481,c_25479,c_25478,c_25477,c_25476,c_25475,c_25474,c_25473,c_25472,c_25480,c_25482,c_25469,c_25468,c_25465,c_25461,c_25458,c_25457,c_25456,c_25455,c_25454,c_25442,c_25435,c_25428,c_25421,c_25415,c_25409,c_25407,c_25405,c_25403,c_25402,c_25404,c_25406,c_25282,c_25281,c_25279,c_25277,c_25276,c_25275,c_25274,c_25273,c_25272,c_25278,c_25280,c_25146,c_25145,c_25143,c_25141,c_25140,c_25139,c_25138,c_25137,c_25136,c_25142,c_25144,c_25029,c_25027,c_25025,c_25024,c_25023,c_25022,c_25021,c_25020,c_25026,c_25028,c_25007,c_25006,c_25005,c_25001,c_25000,c_24999,c_24998,c_24996,c_24994,c_24993,c_24987,c_24986,c_24983,c_24980,c_24979,c_24978,c_24977,c_24976,c_24793,c_24792,c_24791,c_24790,c_24789,c_24788,c_24787,c_24786,c_24785,c_24784,c_24783,c_24782,c_24781,c_24780,c_24779,c_24778,c_24777,c_24776,c_24749,c_24744,c_24739,c_24734,c_24729,c_24724,c_24720,c_24719,c_24715,c_24714,c_24712,c_24710,c_24709,c_24708,c_24707,c_24706,c_24705,c_24704,c_24703,c_24711,c_24713,c_24700,c_24538,c_24537,c_24536,c_24535,c_24534,c_24533,c_24532,c_24531,c_24530,c_24529,c_24528,c_24527,c_24526,c_24525,c_24524,c_24523,c_24522,c_24521,c_24520,c_24519,c_24518,c_24517,c_24516,c_24510,c_24506,c_24505,c_24504,c_24501,c_24500,c_24493,c_24487,c_24482,c_24481,c_24477,c_24474,c_24472,c_24476,c_24455,c_24448,c_24441,c_24434,c_24428,c_24422,c_24417,c_24415,c_24413,c_24411,c_24409,c_24408,c_24404,c_24403,c_24410,c_24412,c_24332,c_24330,c_24328,c_24327,c_24325,c_24324,c_24323,c_24329,c_24331,c_24314,c_24250,c_24244,c_24231,c_24220,c_24219,c_24218,c_24217,c_24216,c_24215,c_24195,c_24190,c_24186,c_24185,c_24161,c_24160,c_24147,c_24146,c_24131,c_24126,c_24121,c_24112,c_24111,c_24110,c_24108,c_24107,c_24092,c_24086,c_24081,c_24079,c_24075,c_24078,c_23965,c_23964,c_23960,c_23957,c_23955,c_23954,c_23953,c_23952,c_23951,c_23896,c_23895,c_23894,c_23893,c_23892,c_23891,c_23890,c_23889,c_23888,c_23887,c_23886,c_23885,c_23884,c_23883,c_23882,c_23881,c_23880,c_23780,c_23774,c_23768,c_23762,c_23757,c_23752,c_23748,c_23747,c_23743,c_23740,c_23739,c_23738,c_23737,c_23736,c_23734,c_23732,c_23731,c_23729,c_23728,c_23727,c_23726,c_23733,c_23735,c_23677,c_23676,c_23675,c_23674,c_23673,c_23672,c_23671,c_23670,c_23669,c_23668,c_23667,c_23666,c_23665,c_23664,c_23663,c_23662,c_23659,c_23658,c_23621,c_23618,c_23615,c_23611,c_23610,c_23609,c_23608,c_23607,c_26951,c_26936,c_26930,c_26929,c_26928,c_26927,c_26926,c_23562,c_23559,c_23556,c_23552,c_23551,c_23550,c_23549,c_23548,c_23519,c_23512,c_23505,c_23498,c_23492,c_23486,c_23481,c_23479,c_23477,c_23475,c_23473,c_23472,c_23468,c_23467,c_23474,c_23476,c_23326,c_23324,c_23322,c_23321,c_23320,c_23319,c_23318,c_23317,c_23323,c_23325,c_23122,c_23120,c_23118,c_23117,c_23116,c_23115,c_23114,c_23113,c_23119,c_23121,c_23097,c_23096,c_23090,c_23086,c_23085,c_23075,c_23074,c_23073,c_23069,c_23068,c_23067,c_23066,c_23064,c_23062,c_23061,c_23056,c_23055,c_23054,c_23050,c_23049,c_23048,c_23047,c_23045,c_23043,c_23042,c_22970,c_22969,c_22968,c_22967,c_22966,c_22965,c_22964,c_22963,c_22962,c_22961,c_22960,c_22959,c_22958,c_22957,c_22956,c_22955,c_22954,c_22952,c_22951,c_22750,c_22749,c_22748,c_22747,c_22746,c_22745,c_22744,c_22743,c_22742,c_22741,c_22740,c_22739,c_22738,c_22737,c_22736,c_22735,c_22734,c_22733,c_22732,c_22731,c_22714,c_22708,c_22702,c_22696,c_22691,c_22686,c_22684,c_22682,c_22680,c_22679,c_22681,c_22683,c_22579,c_22576,c_22575,c_22574,c_22573,c_22572,c_22571,c_22570,c_22569,c_22568,c_22567,c_22566,c_22565,c_22564,c_22563,c_22562,c_22561,c_22560,c_22559,c_22558,c_22557,c_22556,c_22500,c_22493,c_22487,c_22480,c_22474,c_22469,c_22465,c_22461,c_22459,c_22457,c_22455,c_22454,c_22451,c_22449,c_22456,c_22458,c_22441,c_22437,c_22433,c_22429,c_22427,c_22425,c_22424,c_22406,c_22405,c_22399,c_22356,c_22355,c_22319,c_22315,c_22311,c_22307,c_22305,c_22303,c_22302,c_22184,c_22182,c_22180,c_22179,c_22178,c_22177,c_22176,c_22175,c_22181,c_22183,c_22165,c_22162,c_22158,c_22155,c_22154,c_22153,c_22152,c_22151,c_22147,c_22146,c_22145,c_22141,c_22140,c_22139,c_22138,c_22136,c_22134,c_22133,c_22120,c_22114,c_22108,c_22102,c_22095,c_22090,c_22085,c_22083,c_22081,c_22079,c_22078,c_22077,c_22082,c_22084,c_22071,c_22059,c_22052,c_22045,c_22038,c_22032,c_22026,c_22024,c_22022,c_22020,c_22019,c_22021,c_22023,c_21940,c_21934,c_21930,c_21925,c_21921,c_21916,c_21911,c_21906,c_21905,c_21904,c_21903,c_21902,c_21893,c_21892,c_21891,c_21890,c_21880,c_21870,c_21810,c_21803,c_21796,c_21789,c_21783,c_21777,c_21773,c_21769,c_21767,c_21765,c_21763,c_21762,c_21759,c_21757,c_21764,c_21766,c_21749,c_21743,c_21629,c_21627,c_21625,c_21624,c_21623,c_21622,c_21621,c_21620,c_21626,c_21628,c_21602,c_21601,c_21588,c_21587,c_21572,c_21567,c_21562,c_21553,c_21552,c_21551,c_21549,c_21548,c_21428,c_21427,c_21424,c_21421,c_21420,c_21419,c_21418,c_21417,c_21413,c_21412,c_21408,c_21407,c_21406,c_21405,c_21404,c_21402,c_21400,c_21399,c_21392,c_21387,c_21382,c_21379,c_21378,c_21377,c_21359,c_21353,c_21347,c_21341,c_21334,c_21329,c_21324,c_21322,c_21320,c_21318,c_21317,c_21316,c_21321,c_21323,c_21310,c_21279,c_21278,c_21275,c_21272,c_21271,c_21270,c_21269,c_21268,c_21260,c_21252,c_21245,c_21240,c_21237,c_21235,c_21239,c_21183,c_21182,c_21181,c_21180,c_21179,c_21178,c_21177,c_21176,c_21175,c_21174,c_21173,c_21172,c_21171,c_21165,c_21048,c_21047,c_21046,c_21045,c_21044,c_21043,c_21042,c_21041,c_21040,c_21039,c_21038,c_21037,c_21036,c_21030,c_20918,c_20916,c_20914,c_20913,c_20912,c_20911,c_20910,c_20909,c_20915,c_20917,c_20893,c_20892,c_20874,c_20873,c_20872,c_20871,c_20870,c_20868,c_20866,c_20865,c_20837,c_20833,c_20829,c_20825,c_20821,c_20820,c_20819,c_20818,c_20817,c_20816,c_20812,c_20811,c_20810,c_20809,c_20808,c_20807,c_20806,c_20805,c_20664,c_20663,c_20662,c_20659,c_20657,c_20656,c_20633,c_20626,c_20619,c_20612,c_20606,c_20600,c_20598,c_20596,c_20594,c_20593,c_20595,c_20597,c_20571,c_20566,c_20561,c_20556,c_20551,c_20550,c_20549,c_20548,c_20547,c_20546,c_20513,c_20512,c_20502,c_20501,c_20498,c_20495,c_20494,c_20493,c_20492,c_20491,c_20483,c_20475,c_20468,c_20466,c_20462,c_20465,c_20445,c_20444,c_20432,c_20428,c_20424,c_20420,c_20418,c_20416,c_20415,c_20402,c_20398,c_20394,c_20393,c_20255,c_20253,c_20251,c_20250,c_20249,c_20248,c_20247,c_20246,c_20252,c_20254,c_20229,c_20225,c_20224,c_20220,c_20219,c_20218,c_20217,c_20216,c_20214,c_20212,c_20211,c_20203,c_20202,c_20201,c_20200,c_20199,c_20197,c_20196,c_20194,c_20193,c_20192,c_20191,c_20190,c_20189,c_20188,c_20186,c_20171,c_20167,c_20164,c_20163,c_20156,c_20150,c_20145,c_20144,c_20140,c_20137,c_20135,c_20139,c_20124,c_20118,c_20113,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM483+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Sep 24 04:08:15 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 25.80/4.17 % SZS status Started for theBenchmark.p
% 25.80/4.17 % SZS status Theorem for theBenchmark.p
% 25.80/4.17
% 25.80/4.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.80/4.17
% 25.80/4.17 % ------ iProver source info
% 25.80/4.17
% 25.80/4.17 % git: date: 2026-07-19 20:42:38 +0200
% 25.80/4.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.80/4.17 % git: non_committed_changes: false
% 25.80/4.17
% 25.80/4.17 % ------ Parsing...
% 25.80/4.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.80/4.17
% 25.80/4.17 % ------ 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 %
% 25.80/4.17
% 25.80/4.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 25.80/4.17
% 25.80/4.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.80/4.17 % ------ Proving...
% 25.80/4.17 % ------ Problem Properties
% 25.80/4.17
% 25.80/4.17 %
% 25.80/4.17 % clauses 81
% 25.80/4.17 % conjectures 2
% 25.80/4.17 % EPR 26
% 25.80/4.17 % Horn 48
% 25.80/4.17 % unary 15
% 25.80/4.17 % binary 8
% 25.80/4.17 % lits 300
% 25.80/4.17 % lits eq 100
% 25.80/4.17 % fd_pure 0
% 25.80/4.17 % fd_pseudo 0
% 25.80/4.17 % fd_cond 22
% 25.80/4.17 % fd_pseudo_cond 12
% 25.80/4.17 % AC symbols 0
% 25.80/4.17
% 25.80/4.17 % ------ Schedule dynamic 5 is on
% 25.80/4.17
% 25.80/4.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.80/4.17
% 25.80/4.17
% 25.80/4.17 % ------
% 25.80/4.17 % Current options:
% 25.80/4.17 % ------
% 25.80/4.17
% 25.80/4.17
% 25.80/4.17 %
% 25.80/4.17
% 25.80/4.17 % ------ Proving...
% 25.80/4.17 %
% 25.80/4.17
% 25.80/4.17 % SZS status Theorem for theBenchmark.p
% 25.80/4.17
% 25.80/4.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.84/4.23
% 25.84/4.23
%------------------------------------------------------------------------------