%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM495+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:25:17 PM UTC 2026
% Result : Theorem 14.97s 7.83s
% Output : CNFRefutation 14.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f228ERROR: Could not build tree for root c_30973ERROR: MakeTreeStats fails)
% 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(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( X1 != sz00
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X1 = X0
| X1 = sz10 ) )
& X0 != sz10
& X0 != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f38,axiom,
! [X0] :
( ( X0 != sz10
& X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f42,axiom,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f43,axiom,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f44,axiom,
( sdtlseqdt0(xr,xn)
& xr != xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1894) ).
fof(f45,axiom,
doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1913) ).
fof(f46,axiom,
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2062) ).
fof(f47,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,xr) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f55]) ).
fof(f57,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(f58,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f60]) ).
fof(f62,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(f63,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f65,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f66,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(f67,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,[],[f66]) ).
fof(f68,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(f69,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,[],[f68]) ).
fof(f70,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ! [X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f71,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ! [X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2 ) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f78]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f87,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(f88,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,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f90,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,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(ennf_transformation,[],[f26]) ).
fof(f92,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f101]) ).
fof(f103,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(f104,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f103]) ).
fof(f105,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(f106,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ),
inference(flattening,[],[f109]) ).
fof(f111,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(f112,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f114,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,xr) ),
inference(ennf_transformation,[],[f48]) ).
fof(f118,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,[],[f77]) ).
fof(f119,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,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f119]) ).
fof(f121,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtmndt0(X1,X0) != X2
| ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtmndt0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtmndt0(X1,X0) != X2
| ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtmndt0(X1,X0) ) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f124,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,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f127,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(flattening,[],[f126]) ).
fof(f128,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,[],[f112]) ).
fof(f129,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(flattening,[],[f128]) ).
fof(f130,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,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ( doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0))
& sK2(X0) != X0
& sz10 != sK2(X0) )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f130]) ).
fof(f132,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f114]) ).
fof(f133,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f140,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f141,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f142,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f144,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f145,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f146,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f147,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f65]) ).
fof(f148,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,[],[f67]) ).
fof(f149,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,[],[f67]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f73]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f120]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK0(X0,X1)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) != X2
| sdtpldt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f122]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f122]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f168,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,[],[f88]) ).
fof(f170,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,[],[f88]) ).
fof(f172,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,[],[f90]) ).
fof(f174,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,[],[f90]) ).
fof(f176,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f92]) ).
fof(f178,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f179,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f125]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK1(X0,X1)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f189,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f191,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 ),
inference(cnf_transformation,[],[f131]) ).
fof(f192,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz10 != X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f193,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz00 != X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f194,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f195,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f196,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f197,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f198,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| isPrime0(sK3(X0)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f199,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| doDivides0(sK3(X0),X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f200,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK3(X0)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f201,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f202,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f203,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f205,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f206,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f207,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f208,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f209,plain,
sdtlseqdt0(xr,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f210,plain,
xn != xr,
inference(cnf_transformation,[],[f44]) ).
fof(f211,plain,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f45]) ).
fof(f212,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f46]) ).
fof(f213,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp),
inference(cnf_transformation,[],[f46]) ).
fof(f214,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f117]) ).
fof(f215,plain,
~ doDivides0(xp,xr),
inference(cnf_transformation,[],[f117]) ).
fof(f216,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f159]) ).
fof(f217,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f162]) ).
fof(f218,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sdtmndt0(X1,X0)) ),
inference(equality_resolution,[],[f161]) ).
fof(f219,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f160]) ).
fof(f222,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f182]) ).
fof(f223,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f185]) ).
fof(f224,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f184]) ).
fof(f225,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f183]) ).
fof(f226,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f193]) ).
fof(f227,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f192]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f133]) ).
tcf(c_50,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f135]) ).
tcf(c_51,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f134]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X1) ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_82,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_85,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,[],[f170]) ).
tcf(c_87,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,[],[f168]) ).
tcf(c_89,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,[],[f174]) ).
tcf(c_91,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,[],[f172]) ).
tcf(c_92,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK1(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(X0,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_102,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,[],[f187]) ).
tcf(c_103,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,[],[f188]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_106,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK2(X0) != sz10 ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_107,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK2(X0) != X0 ) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_108,plain,
! [X0: $i] :
( isPrime0(X0)
| aNaturalNumber0(sK2(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_109,plain,
! [X0: $i] :
( isPrime0(X0)
| doDivides0(sK2(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_110,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_111,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = X1 )
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_113,plain,
! [X0: $i] :
( aNaturalNumber0(sK3(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_114,plain,
! [X0: $i] :
( doDivides0(sK3(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_115,plain,
! [X0: $i] :
( isPrime0(sK3(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_116,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f203]) ).
tcf(c_117,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f202]) ).
tcf(c_118,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f201]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_120,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f206]) ).
tcf(c_121,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f205]) ).
tcf(c_122,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f207]) ).
tcf(c_123,plain,
sdtmndt0(xn,xp) = xr,
inference(cnf_transformation,[],[f208]) ).
tcf(c_124,plain,
xn != xr,
inference(cnf_transformation,[],[f210]) ).
tcf(c_125,plain,
sdtlseqdt0(xr,xn),
inference(cnf_transformation,[],[f209]) ).
tcf(c_126,plain,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f211]) ).
tcf(c_127,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp),
inference(cnf_transformation,[],[f213]) ).
tcf(c_128,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f212]) ).
tcf(c_129,negated_conjecture,
~ doDivides0(xp,xr),
inference(cnf_transformation,[],[f215]) ).
tcf(c_130,negated_conjecture,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f214]) ).
tcf(c_135,plain,
( ( sdtpldt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_153,plain,
( ( sz00 = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,sz00) != sz00 ) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_174,plain,
~ isPrime0(sz10),
inference(global_subsumption_just,[status(thm)],[c_111,c_50,c_111]) ).
tcf(c_176,plain,
~ isPrime0(sz00),
inference(global_subsumption_just,[status(thm)],[c_110,c_49,c_110]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_53,c_95]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_52,c_73]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_52,c_76,c_181]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_98,c_53,c_98,c_178]) ).
tcf(c_1563,plain,
sz00 != xp,
inference(resolution_lifted,[status(thm)],[c_176,c_120]) ).
tcf(c_1581,plain,
sz10 != xp,
inference(resolution_lifted,[status(thm)],[c_174,c_120]) ).
tcf(c_3375,negated_conjecture,
~ doDivides0(xp,xm),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_3376,negated_conjecture,
~ doDivides0(xp,xr),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_3377,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_3379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_4623,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_56]) ).
tcf(c_4624,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_50,c_56]) ).
tcf(c_4625,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_116,c_56]) ).
tcf(c_4626,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_117,c_56]) ).
tcf(c_4627,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_118,c_56]) ).
tcf(c_4633,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_50,c_57]) ).
tcf(c_4634,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_116,c_57]) ).
tcf(c_4635,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_117,c_57]) ).
tcf(c_4636,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_118,c_57]) ).
tcf(c_4641,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_49,c_60]) ).
tcf(c_4642,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(superposition,[status(thm)],[c_50,c_60]) ).
tcf(c_4643,plain,
sdtasdt0(xn,sz10) = xn,
inference(superposition,[status(thm)],[c_116,c_60]) ).
tcf(c_4644,plain,
sdtasdt0(xm,sz10) = xm,
inference(superposition,[status(thm)],[c_117,c_60]) ).
tcf(c_4645,plain,
sdtasdt0(xp,sz10) = xp,
inference(superposition,[status(thm)],[c_118,c_60]) ).
tcf(c_4650,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_61]) ).
tcf(c_4652,plain,
sdtasdt0(sz10,xn) = xn,
inference(superposition,[status(thm)],[c_116,c_61]) ).
tcf(c_4653,plain,
sdtasdt0(sz10,xm) = xm,
inference(superposition,[status(thm)],[c_117,c_61]) ).
tcf(c_4654,plain,
sdtasdt0(sz10,xp) = xp,
inference(superposition,[status(thm)],[c_118,c_61]) ).
tcf(c_4659,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_62]) ).
tcf(c_4661,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_116,c_62]) ).
tcf(c_4662,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_117,c_62]) ).
tcf(c_4663,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_118,c_62]) ).
tcf(c_4670,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_116,c_63]) ).
tcf(c_4671,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_117,c_63]) ).
tcf(c_4672,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_118,c_63]) ).
tcf(c_4688,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_63]) ).
tcf(c_4689,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_62]) ).
tcf(c_4690,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_61]) ).
tcf(c_4691,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_60]) ).
tcf(c_4692,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_57]) ).
tcf(c_4693,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_56]) ).
tcf(c_4733,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_63]) ).
tcf(c_4734,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_62]) ).
tcf(c_4735,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_61]) ).
tcf(c_4736,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_60]) ).
tcf(c_4737,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
tcf(c_4738,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_56]) ).
tcf(c_4769,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4650,c_178]) ).
tcf(c_4770,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4641,c_178]) ).
tcf(c_4771,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4642,c_178]) ).
tcf(c_4772,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4643,c_178]) ).
tcf(c_4773,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4644,c_178]) ).
tcf(c_4774,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4645,c_178]) ).
tcf(c_4775,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4652,c_178]) ).
tcf(c_4776,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4653,c_178]) ).
tcf(c_4777,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4654,c_178]) ).
tcf(c_4778,plain,
doDivides0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_4771,c_50]) ).
tcf(c_4779,plain,
doDivides0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4777,c_118,c_50]) ).
tcf(c_4780,plain,
doDivides0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4776,c_117,c_50]) ).
tcf(c_4781,plain,
doDivides0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4775,c_116,c_50]) ).
tcf(c_4782,plain,
doDivides0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4774,c_118,c_50]) ).
tcf(c_4783,plain,
doDivides0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4773,c_117,c_50]) ).
tcf(c_4784,plain,
doDivides0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4772,c_116,c_50]) ).
tcf(c_4785,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4770,c_50,c_49]) ).
tcf(c_4786,plain,
doDivides0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4769,c_50,c_49]) ).
tcf(c_4789,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4661,c_178]) ).
tcf(c_4791,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4789,c_116,c_49]) ).
tcf(c_4792,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4662,c_178]) ).
tcf(c_4794,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4792,c_117,c_49]) ).
tcf(c_4801,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4623,c_181]) ).
tcf(c_4802,plain,
( sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4624,c_181]) ).
tcf(c_4803,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4625,c_181]) ).
tcf(c_4804,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4626,c_181]) ).
tcf(c_4805,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4627,c_181]) ).
tcf(c_4806,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4633,c_181]) ).
tcf(c_4807,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4634,c_181]) ).
tcf(c_4808,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4635,c_181]) ).
tcf(c_4809,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4636,c_181]) ).
tcf(c_4810,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4801,c_49]) ).
tcf(c_4811,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4809,c_118,c_49]) ).
tcf(c_4812,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4808,c_117,c_49]) ).
tcf(c_4813,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4807,c_116,c_49]) ).
tcf(c_4814,plain,
sdtlseqdt0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_4806,c_50,c_49]) ).
tcf(c_4815,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4805,c_118,c_49]) ).
tcf(c_4816,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4804,c_117,c_49]) ).
tcf(c_4817,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4803,c_116,c_49]) ).
tcf(c_4818,plain,
sdtlseqdt0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_4802,c_50,c_49]) ).
tcf(c_4835,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_54]) ).
tcf(c_4836,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_54]) ).
tcf(c_4837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X2,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_54]) ).
tcf(c_4838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),X2) = sdtpldt0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_4839,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_54]) ).
tcf(c_4840,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_117,c_54]) ).
tcf(c_4841,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_54]) ).
tcf(c_4871,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_58]) ).
tcf(c_4872,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_58]) ).
tcf(c_4873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtasdt0(X2,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_58]) ).
tcf(c_4874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_58]) ).
tcf(c_4875,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_58]) ).
tcf(c_4876,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_117,c_58]) ).
tcf(c_4877,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_58]) ).
tcf(c_4901,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4663,c_178]) ).
tcf(c_4903,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4901,c_118,c_49]) ).
tcf(c_4914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK0(X0,X1),X2) = sdtasdt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_58]) ).
tcf(c_4915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK0(X0,X1),X2) = sdtpldt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_54]) ).
tcf(c_4916,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_63]) ).
tcf(c_4917,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_62]) ).
tcf(c_4918,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK0(X0,X1)) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_61]) ).
tcf(c_4919,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz10) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_60]) ).
tcf(c_4920,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK0(X0,X1)) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_57]) ).
tcf(c_4921,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz00) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_56]) ).
tcf(c_4978,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn) ),
inference(superposition,[status(thm)],[c_123,c_77]) ).
tcf(c_4979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),X2) = sdtasdt0(X2,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_58]) ).
tcf(c_4980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),X2) = sdtpldt0(X2,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_54]) ).
tcf(c_4981,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtmndt0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_63]) ).
tcf(c_4982,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_62]) ).
tcf(c_4983,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtmndt0(X1,X0)) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_61]) ).
tcf(c_4984,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),sz10) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_60]) ).
tcf(c_4985,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtmndt0(X1,X0)) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_57]) ).
tcf(c_4986,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),sz00) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_56]) ).
tcf(c_4987,plain,
aNaturalNumber0(xr),
inference(forward_subsumption_resolution,[status(thm)],[c_4978,c_118,c_116,c_122]) ).
tcf(c_5030,plain,
! [X0: $i] :
( doDivides0(xp,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0)
| ~ doDivides0(X0,xr) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_5031,plain,
( doDivides0(xp,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(xp,sz00)
| ~ doDivides0(sz00,xr) ),
inference(instantiation,[status(thm)],[c_5030]) ).
tcf(c_5032,plain,
! [X0: $i] :
( doDivides0(xp,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0)
| ~ doDivides0(X0,xm) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_5033,plain,
( doDivides0(xp,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(xp,sz00)
| ~ doDivides0(sz00,xm) ),
inference(instantiation,[status(thm)],[c_5032]) ).
tcf(c_5057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK1(X0,X1),X2) = sdtasdt0(X2,sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_58]) ).
tcf(c_5058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK1(X0,X1),X2) = sdtpldt0(X2,sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_54]) ).
tcf(c_5059,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK1(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_63]) ).
tcf(c_5060,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_62]) ).
tcf(c_5061,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK1(X0,X1)) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_61]) ).
tcf(c_5062,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz10) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_60]) ).
tcf(c_5063,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK1(X0,X1)) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_57]) ).
tcf(c_5064,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sz00) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_56]) ).
tcf(c_5114,plain,
( ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xn,xr) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_5116,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xr) = sdtasdt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4987,c_58]) ).
tcf(c_5117,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xr) = sdtpldt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4987,c_54]) ).
tcf(c_5118,plain,
sdtasdt0(sz00,xr) = sz00,
inference(superposition,[status(thm)],[c_4987,c_63]) ).
tcf(c_5119,plain,
sdtasdt0(xr,sz00) = sz00,
inference(superposition,[status(thm)],[c_4987,c_62]) ).
tcf(c_5120,plain,
sdtasdt0(sz10,xr) = xr,
inference(superposition,[status(thm)],[c_4987,c_61]) ).
tcf(c_5121,plain,
sdtasdt0(xr,sz10) = xr,
inference(superposition,[status(thm)],[c_4987,c_60]) ).
tcf(c_5122,plain,
sdtpldt0(sz00,xr) = xr,
inference(superposition,[status(thm)],[c_4987,c_57]) ).
tcf(c_5123,plain,
sdtpldt0(xr,sz00) = xr,
inference(superposition,[status(thm)],[c_4987,c_56]) ).
tcf(c_5140,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5119,c_178]) ).
tcf(c_5142,plain,
doDivides0(xr,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_5140,c_4987,c_49]) ).
tcf(c_5149,plain,
( doDivides0(sz10,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5120,c_178]) ).
tcf(c_5151,plain,
doDivides0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_5149,c_4987,c_50]) ).
tcf(c_5152,plain,
( doDivides0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5121,c_178]) ).
tcf(c_5154,plain,
doDivides0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_5152,c_4987,c_50]) ).
tcf(c_5155,plain,
( sdtlseqdt0(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5122,c_181]) ).
tcf(c_5157,plain,
sdtlseqdt0(sz00,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_5155,c_4987,c_49]) ).
tcf(c_5158,plain,
( sdtlseqdt0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5123,c_181]) ).
tcf(c_5160,plain,
sdtlseqdt0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_5158,c_4987,c_49]) ).
tcf(c_5169,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),X1) = sdtasdt0(X1,sK3(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_58]) ).
tcf(c_5170,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),X1) = sdtpldt0(X1,sK3(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_54]) ).
tcf(c_5171,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK3(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_63]) ).
tcf(c_5172,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_62]) ).
tcf(c_5173,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK3(X0)) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_61]) ).
tcf(c_5174,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sz10) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_60]) ).
tcf(c_5175,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(X0)) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_57]) ).
tcf(c_5176,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),sz00) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_56]) ).
tcf(c_5237,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sz00,X0),sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_184]) ).
tcf(c_5238,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sz10,X0),sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_184]) ).
tcf(c_5239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_184]) ).
tcf(c_5240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(X0,X1),X2),sdtasdt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_184]) ).
tcf(c_5241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sK0(X0,X1),X2),sK0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_184]) ).
tcf(c_5242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtmndt0(X1,X0),X2),sdtmndt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_184]) ).
tcf(c_5243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sK1(X0,X1),X2),sK1(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_184]) ).
tcf(c_5244,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sK3(X0),X1),sK3(X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_184]) ).
tcf(c_5245,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_184]) ).
tcf(c_5246,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_117,c_184]) ).
tcf(c_5247,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_184]) ).
tcf(c_5248,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xr,X0),xr) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4987,c_184]) ).
tcf(c_5307,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,xr)
| ~ doDivides0(X1,X2)
| ( xr != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_3386]) ).
tcf(c_5308,plain,
( doDivides0(sz00,xr)
| ~ doDivides0(sz00,sz00)
| ( xr != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_5307]) ).
tcf(c_5326,plain,
( sdtlseqdt0(sz10,xn)
| ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4652,c_93]) ).
tcf(c_5327,plain,
( sdtlseqdt0(sz10,xm)
| ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4653,c_93]) ).
tcf(c_5328,plain,
( sdtlseqdt0(sz10,xp)
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4654,c_93]) ).
tcf(c_5337,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5120,c_93]) ).
tcf(c_5339,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5337,c_4987,c_50]) ).
tcf(c_5342,plain,
( sdtlseqdt0(sz10,xp)
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5328,c_118,c_50]) ).
tcf(c_5345,plain,
( sdtlseqdt0(sz10,xm)
| ( sz00 = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5327,c_117,c_50]) ).
tcf(c_5348,plain,
( sdtlseqdt0(sz10,xn)
| ( sz00 = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5326,c_116,c_50]) ).
tcf(c_5353,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,xm)
| ~ doDivides0(X1,X2)
| ( xm != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_3386]) ).
tcf(c_5354,plain,
( doDivides0(sz00,xm)
| ~ doDivides0(sz00,sz00)
| ( xm != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_5353]) ).
tcf(c_5361,plain,
sdtlseqdt0(sz10,xp),
inference(global_subsumption_just,[status(thm)],[c_5342,c_1563,c_5342]) ).
tcf(c_5384,plain,
sdtpldt0(sz00,sz10) = sdtpldt0(sz10,sz00),
inference(superposition,[status(thm)],[c_50,c_4835]) ).
tcf(c_5385,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4835]) ).
tcf(c_5386,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4835]) ).
tcf(c_5387,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz00) = sdtpldt0(sz00,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4835]) ).
tcf(c_5388,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),sz00) = sdtpldt0(sz00,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4835]) ).
tcf(c_5389,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sz00) = sdtpldt0(sz00,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4835]) ).
tcf(c_5390,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),sz00) = sdtpldt0(sz00,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4835]) ).
tcf(c_5391,plain,
sdtpldt0(sz00,xn) = sdtpldt0(xn,sz00),
inference(superposition,[status(thm)],[c_116,c_4835]) ).
tcf(c_5392,plain,
sdtpldt0(sz00,xm) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_117,c_4835]) ).
tcf(c_5393,plain,
sdtpldt0(sz00,xp) = sdtpldt0(xp,sz00),
inference(superposition,[status(thm)],[c_118,c_4835]) ).
tcf(c_5394,plain,
sdtpldt0(sz00,xr) = sdtpldt0(xr,sz00),
inference(superposition,[status(thm)],[c_4987,c_4835]) ).
tcf(c_5428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4836]) ).
tcf(c_5429,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4836]) ).
tcf(c_5430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz10) = sdtpldt0(sz10,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4836]) ).
tcf(c_5431,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),sz10) = sdtpldt0(sz10,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4836]) ).
tcf(c_5432,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sz10) = sdtpldt0(sz10,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4836]) ).
tcf(c_5433,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),sz10) = sdtpldt0(sz10,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4836]) ).
tcf(c_5434,plain,
sdtpldt0(sz10,xn) = sdtpldt0(xn,sz10),
inference(superposition,[status(thm)],[c_116,c_4836]) ).
tcf(c_5435,plain,
sdtpldt0(sz10,xm) = sdtpldt0(xm,sz10),
inference(superposition,[status(thm)],[c_117,c_4836]) ).
tcf(c_5436,plain,
sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10),
inference(superposition,[status(thm)],[c_118,c_4836]) ).
tcf(c_5437,plain,
sdtpldt0(sz10,xr) = sdtpldt0(xr,sz10),
inference(superposition,[status(thm)],[c_4987,c_4836]) ).
tcf(c_5515,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5434,c_181]) ).
tcf(c_5516,plain,
( aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5434,c_52]) ).
tcf(c_5517,plain,
aNaturalNumber0(sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_5516,c_116,c_50]) ).
tcf(c_5518,plain,
sdtlseqdt0(xn,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_5515,c_116,c_50]) ).
tcf(c_5519,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4836]) ).
tcf(c_5520,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4835]) ).
tcf(c_5521,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5517,c_184]) ).
tcf(c_5522,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xn),X0) = sdtasdt0(X0,sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5517,c_58]) ).
tcf(c_5523,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xn),X0) = sdtpldt0(X0,sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5517,c_54]) ).
tcf(c_5524,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xn)) = sz00,
inference(superposition,[status(thm)],[c_5517,c_63]) ).
tcf(c_5525,plain,
sdtasdt0(sdtpldt0(sz10,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_5517,c_62]) ).
tcf(c_5526,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5517,c_61]) ).
tcf(c_5527,plain,
sdtasdt0(sdtpldt0(sz10,xn),sz10) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5517,c_60]) ).
tcf(c_5528,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5517,c_57]) ).
tcf(c_5529,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz00) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5517,c_56]) ).
tcf(c_5538,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5435,c_181]) ).
tcf(c_5539,plain,
( aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5435,c_52]) ).
tcf(c_5540,plain,
aNaturalNumber0(sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_5539,c_117,c_50]) ).
tcf(c_5541,plain,
sdtlseqdt0(xm,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_5538,c_117,c_50]) ).
tcf(c_5542,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4836]) ).
tcf(c_5543,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4835]) ).
tcf(c_5544,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5540,c_184]) ).
tcf(c_5545,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xm),X0) = sdtasdt0(X0,sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5540,c_58]) ).
tcf(c_5546,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xm),X0) = sdtpldt0(X0,sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5540,c_54]) ).
tcf(c_5547,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xm)) = sz00,
inference(superposition,[status(thm)],[c_5540,c_63]) ).
tcf(c_5548,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_5540,c_62]) ).
tcf(c_5549,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_5540,c_61]) ).
tcf(c_5550,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz10) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_5540,c_60]) ).
tcf(c_5551,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_5540,c_57]) ).
tcf(c_5552,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz00) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_5540,c_56]) ).
tcf(c_5561,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5436,c_181]) ).
tcf(c_5562,plain,
( aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5436,c_52]) ).
tcf(c_5563,plain,
aNaturalNumber0(sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_5562,c_118,c_50]) ).
tcf(c_5564,plain,
sdtlseqdt0(xp,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_5561,c_118,c_50]) ).
tcf(c_5583,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),sz10) = sdtpldt0(sz10,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4836]) ).
tcf(c_5584,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),sz00) = sdtpldt0(sz00,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4835]) ).
tcf(c_5585,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sK2(X0),X1),sK2(X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_184]) ).
tcf(c_5586,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),X1) = sdtasdt0(X1,sK2(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_58]) ).
tcf(c_5587,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),X1) = sdtpldt0(X1,sK2(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_54]) ).
tcf(c_5588,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK2(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_63]) ).
tcf(c_5589,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_62]) ).
tcf(c_5590,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK2(X0)) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_61]) ).
tcf(c_5591,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),sz10) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_60]) ).
tcf(c_5592,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK2(X0)) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_57]) ).
tcf(c_5593,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),sz00) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_56]) ).
tcf(c_5683,plain,
! [X0: $i] :
( ( xm = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_5685,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xm,sz00)
| ~ sdtlseqdt0(sz00,xm) ),
inference(instantiation,[status(thm)],[c_5683]) ).
tcf(c_5691,plain,
xm = xm,
inference(instantiation,[status(thm)],[c_3377]) ).
tcf(c_5693,plain,
! [X0: $i,X1: $i] :
( ( xm = X0 )
| ( xm != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_3379]) ).
tcf(c_5713,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_5434,c_70]) ).
tcf(c_5714,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_5435,c_70]) ).
tcf(c_5715,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_5436,c_70]) ).
tcf(c_5716,plain,
( ( sz00 = xp )
| ( sdtpldt0(sz10,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5715,c_118,c_50]) ).
tcf(c_5719,plain,
( ( sz00 = xm )
| ( sdtpldt0(sz10,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5714,c_117,c_50]) ).
tcf(c_5722,plain,
( ( sz00 = xn )
| ( sdtpldt0(sz10,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5713,c_116,c_50]) ).
tcf(c_5744,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_5434,c_71]) ).
tcf(c_5745,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_5435,c_71]) ).
tcf(c_5746,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_5436,c_71]) ).
tcf(c_5747,plain,
sdtpldt0(sz10,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5746,c_51,c_118,c_50]) ).
tcf(c_5748,plain,
sdtpldt0(sz10,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5745,c_51,c_117,c_50]) ).
tcf(c_5749,plain,
sdtpldt0(sz10,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5744,c_51,c_116,c_50]) ).
tcf(c_5750,plain,
sdtpldt0(sdtpldt0(sz10,xp),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4836]) ).
tcf(c_5751,plain,
sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4835]) ).
tcf(c_5752,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_184]) ).
tcf(c_5753,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xp),X0) = sdtasdt0(X0,sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_58]) ).
tcf(c_5754,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xp),X0) = sdtpldt0(X0,sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_54]) ).
tcf(c_5755,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xp)) = sz00,
inference(superposition,[status(thm)],[c_5563,c_63]) ).
tcf(c_5756,plain,
sdtasdt0(sdtpldt0(sz10,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_5563,c_62]) ).
tcf(c_5757,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_5563,c_61]) ).
tcf(c_5758,plain,
sdtasdt0(sdtpldt0(sz10,xp),sz10) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_5563,c_60]) ).
tcf(c_5759,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_5563,c_57]) ).
tcf(c_5760,plain,
sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_5563,c_56]) ).
tcf(c_5769,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_5437,c_71]) ).
tcf(c_5770,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_5437,c_70]) ).
tcf(c_5771,plain,
( sdtlseqdt0(xr,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5437,c_181]) ).
tcf(c_5772,plain,
( aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5437,c_52]) ).
tcf(c_5773,plain,
aNaturalNumber0(sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_5772,c_4987,c_50]) ).
tcf(c_5774,plain,
sdtlseqdt0(xr,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_5771,c_4987,c_50]) ).
tcf(c_5778,plain,
sdtpldt0(sz10,xr) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5769,c_51,c_4987,c_50]) ).
tcf(c_5779,plain,
sdtpldt0(sdtpldt0(sz10,xr),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4836]) ).
tcf(c_5780,plain,
sdtpldt0(sdtpldt0(sz10,xr),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4835]) ).
tcf(c_5781,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5773,c_184]) ).
tcf(c_5782,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xr),X0) = sdtasdt0(X0,sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5773,c_58]) ).
tcf(c_5783,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xr),X0) = sdtpldt0(X0,sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5773,c_54]) ).
tcf(c_5784,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xr)) = sz00,
inference(superposition,[status(thm)],[c_5773,c_63]) ).
tcf(c_5785,plain,
sdtasdt0(sdtpldt0(sz10,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_5773,c_62]) ).
tcf(c_5786,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xr)) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_5773,c_61]) ).
tcf(c_5787,plain,
sdtasdt0(sdtpldt0(sz10,xr),sz10) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_5773,c_60]) ).
tcf(c_5788,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xr)) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_5773,c_57]) ).
tcf(c_5789,plain,
sdtpldt0(sdtpldt0(sz10,xr),sz00) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_5773,c_56]) ).
tcf(c_5801,plain,
( doDivides0(sdtpldt0(sz10,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5525,c_178]) ).
tcf(c_5804,plain,
doDivides0(sdtpldt0(sz10,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_5801,c_49,c_5517]) ).
tcf(c_5815,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_181,c_94]) ).
tcf(c_5816,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_94]) ).
tcf(c_5818,plain,
! [X0: $i,X1: $i] :
( iLess0(X1,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_94]) ).
tcf(c_5819,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_94]) ).
tcf(c_5820,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_93,c_94]) ).
tcf(c_5821,plain,
( iLess0(xp,xn)
| ( xn = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_122,c_94]) ).
tcf(c_5822,plain,
( iLess0(xr,xn)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_125,c_94]) ).
tcf(c_5823,plain,
( iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) )
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_128,c_94]) ).
tcf(c_5829,plain,
( iLess0(sz00,sz10)
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4814,c_94]) ).
tcf(c_5830,plain,
( iLess0(sz00,xn)
| ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4813,c_94]) ).
tcf(c_5831,plain,
( iLess0(sz00,xm)
| ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4812,c_94]) ).
tcf(c_5832,plain,
( iLess0(sz00,xp)
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4811,c_94]) ).
tcf(c_5833,plain,
( iLess0(sz00,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5157,c_94]) ).
tcf(c_5835,plain,
( iLess0(sz10,xn)
| ( sz10 = xn )
| ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5348,c_94]) ).
tcf(c_5836,plain,
( iLess0(sz10,xm)
| ( sz10 = xm )
| ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5345,c_94]) ).
tcf(c_5837,plain,
( iLess0(sz10,xp)
| ( sz10 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5361,c_94]) ).
tcf(c_5838,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5339,c_94]) ).
tcf(c_5839,plain,
( iLess0(xn,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5518,c_94]) ).
tcf(c_5840,plain,
( iLess0(xm,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5541,c_94]) ).
tcf(c_5841,plain,
( iLess0(xp,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5564,c_94]) ).
tcf(c_5842,plain,
( iLess0(xr,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5774,c_94]) ).
tcf(c_5843,plain,
( iLess0(sz10,xp)
| ( sz10 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5837,c_118,c_50]) ).
tcf(c_5846,plain,
( iLess0(sz00,xr)
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5833,c_4987,c_49]) ).
tcf(c_5849,plain,
( iLess0(sz00,xp)
| ( sz00 = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5832,c_118,c_49]) ).
tcf(c_5852,plain,
( iLess0(sz00,xm)
| ( sz00 = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5831,c_117,c_49]) ).
tcf(c_5855,plain,
( iLess0(sz00,xn)
| ( sz00 = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5830,c_116,c_49]) ).
tcf(c_5858,plain,
iLess0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_5829,c_51,c_50,c_49]) ).
tcf(c_5859,plain,
iLess0(xr,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_5822,c_124,c_4987,c_116]) ).
tcf(c_5860,plain,
( iLess0(xp,xn)
| ( xn = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5821,c_118,c_116]) ).
tcf(c_5873,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5838,c_4987,c_50]) ).
tcf(c_5877,plain,
( iLess0(sz10,xm)
| ( sz10 = xm )
| ( sz00 = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5836,c_117,c_50]) ).
tcf(c_5881,plain,
( iLess0(sz10,xn)
| ( sz10 = xn )
| ( sz00 = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5835,c_116,c_50]) ).
tcf(c_5885,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5819,c_50]) ).
tcf(c_5890,plain,
( iLess0(xr,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5842,c_4987,c_5773]) ).
tcf(c_5893,plain,
( iLess0(xp,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5841,c_118,c_5563]) ).
tcf(c_5896,plain,
( iLess0(xm,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5840,c_117,c_5540]) ).
tcf(c_5899,plain,
( iLess0(xn,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5839,c_116,c_5517]) ).
tcf(c_5913,plain,
( iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5823,c_127]) ).
tcf(c_5948,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_5951,plain,
( sdtlseqdt0(xn,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xn,sz00)
| ~ sdtlseqdt0(sz00,xr) ),
inference(instantiation,[status(thm)],[c_5948]) ).
tcf(c_5962,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_178,c_104]) ).
tcf(c_5963,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_114,c_104]) ).
tcf(c_5964,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_121,c_104]) ).
tcf(c_5965,plain,
( sdtlseqdt0(xp,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_104]) ).
tcf(c_5982,plain,
( sdtlseqdt0(xp,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5965,c_118]) ).
tcf(c_5986,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5964,c_118]) ).
tcf(c_6031,plain,
! [X0: $i] :
( isPrime0(X0)
| sdtlseqdt0(sK2(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_109,c_104]) ).
tcf(c_6046,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_181,c_75]) ).
tcf(c_6047,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_75]) ).
tcf(c_6048,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82,c_75]) ).
tcf(c_6049,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_75]) ).
tcf(c_6050,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_75]) ).
tcf(c_6051,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_93,c_75]) ).
tcf(c_6052,plain,
( ( sdtpldt0(xp,sK0(xp,xn)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_122,c_75]) ).
tcf(c_6053,plain,
( ( sdtpldt0(xr,sK0(xr,xn)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_125,c_75]) ).
tcf(c_6054,plain,
( ( sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),sK0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_128,c_75]) ).
tcf(c_6055,plain,
( ( sdtpldt0(sz00,sK0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4810,c_75]) ).
tcf(c_6056,plain,
( ( sdtpldt0(sz10,sK0(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4818,c_75]) ).
tcf(c_6057,plain,
( ( sdtpldt0(xn,sK0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4817,c_75]) ).
tcf(c_6058,plain,
( ( sdtpldt0(xm,sK0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4816,c_75]) ).
tcf(c_6059,plain,
( ( sdtpldt0(xp,sK0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4815,c_75]) ).
tcf(c_6060,plain,
( ( sdtpldt0(sz00,sK0(sz00,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4814,c_75]) ).
tcf(c_6061,plain,
( ( sdtpldt0(sz00,sK0(sz00,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4813,c_75]) ).
tcf(c_6062,plain,
( ( sdtpldt0(sz00,sK0(sz00,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4812,c_75]) ).
tcf(c_6063,plain,
( ( sdtpldt0(sz00,sK0(sz00,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4811,c_75]) ).
tcf(c_6064,plain,
( ( sdtpldt0(sz00,sK0(sz00,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5157,c_75]) ).
tcf(c_6065,plain,
( ( sdtpldt0(xr,sK0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_5160,c_75]) ).
tcf(c_6066,plain,
( ( sz00 = xn )
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5348,c_75]) ).
tcf(c_6067,plain,
( ( sz00 = xm )
| ( sdtpldt0(sz10,sK0(sz10,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5345,c_75]) ).
tcf(c_6068,plain,
( ( sdtpldt0(sz10,sK0(sz10,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5361,c_75]) ).
tcf(c_6069,plain,
( ( sz00 = xr )
| ( sdtpldt0(sz10,sK0(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5339,c_75]) ).
tcf(c_6070,plain,
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5518,c_75]) ).
tcf(c_6071,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5541,c_75]) ).
tcf(c_6072,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5564,c_75]) ).
tcf(c_6073,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5774,c_75]) ).
tcf(c_6074,plain,
sdtpldt0(xr,sK0(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6065,c_4987]) ).
tcf(c_6075,plain,
sdtpldt0(xp,sK0(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6059,c_118]) ).
tcf(c_6076,plain,
sdtpldt0(xm,sK0(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6058,c_117]) ).
tcf(c_6077,plain,
sdtpldt0(xn,sK0(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6057,c_116]) ).
tcf(c_6078,plain,
sdtpldt0(sz10,sK0(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_6056,c_50]) ).
tcf(c_6079,plain,
sdtpldt0(sz00,sK0(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6055,c_49]) ).
tcf(c_6082,plain,
sdtpldt0(sz10,sK0(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6068,c_118,c_50]) ).
tcf(c_6083,plain,
sdtpldt0(sz00,sK0(sz00,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6064,c_4987,c_49]) ).
tcf(c_6084,plain,
sdtpldt0(sz00,sK0(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6063,c_118,c_49]) ).
tcf(c_6085,plain,
sdtpldt0(sz00,sK0(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6062,c_117,c_49]) ).
tcf(c_6086,plain,
sdtpldt0(sz00,sK0(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6061,c_116,c_49]) ).
tcf(c_6087,plain,
sdtpldt0(sz00,sK0(sz00,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_6060,c_50,c_49]) ).
tcf(c_6088,plain,
sdtpldt0(xr,sK0(xr,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6053,c_4987,c_116]) ).
tcf(c_6089,plain,
sdtpldt0(xp,sK0(xp,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6052,c_118,c_116]) ).
tcf(c_6098,plain,
( ( sz00 = xr )
| ( sdtpldt0(sz10,sK0(sz10,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6069,c_4987,c_50]) ).
tcf(c_6101,plain,
( ( sz00 = xm )
| ( sdtpldt0(sz10,sK0(sz10,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6067,c_117,c_50]) ).
tcf(c_6104,plain,
( ( sz00 = xn )
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6066,c_116,c_50]) ).
tcf(c_6107,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_6073,c_4987,c_5773]) ).
tcf(c_6108,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_6072,c_118,c_5563]) ).
tcf(c_6109,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_6071,c_117,c_5540]) ).
tcf(c_6110,plain,
sdtpldt0(xn,sK0(xn,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_6070,c_116,c_5517]) ).
tcf(c_6111,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6050,c_50]) ).
tcf(c_6155,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_6158,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00)
| ~ sdtlseqdt0(sz00,xp) ),
inference(instantiation,[status(thm)],[c_6155]) ).
tcf(c_6178,plain,
iLess0(sz10,xp),
inference(global_subsumption_just,[status(thm)],[c_5843,c_1581,c_5843]) ).
tcf(c_6184,plain,
iLess0(sz00,xp),
inference(global_subsumption_just,[status(thm)],[c_5849,c_1563,c_5849]) ).
tcf(c_6201,plain,
( doDivides0(sdtpldt0(sz10,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5548,c_178]) ).
tcf(c_6204,plain,
doDivides0(sdtpldt0(sz10,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6201,c_49,c_5540]) ).
tcf(c_6209,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5542,c_71]) ).
tcf(c_6211,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5542,c_181]) ).
tcf(c_6212,plain,
( aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5542,c_52]) ).
tcf(c_6213,plain,
aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_6212,c_50,c_5540]) ).
tcf(c_6214,plain,
sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_6211,c_50,c_5540]) ).
tcf(c_6215,plain,
sdtpldt0(sz10,sdtpldt0(sz10,xm)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6209,c_51,c_50,c_5540]) ).
tcf(c_6233,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_181,c_78]) ).
tcf(c_6234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_78]) ).
tcf(c_6235,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82,c_78]) ).
tcf(c_6236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sdtmndt0(X0,X1)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_78]) ).
tcf(c_6237,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_78]) ).
tcf(c_6238,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_93,c_78]) ).
tcf(c_6239,plain,
( ( sdtpldt0(xp,sdtmndt0(xn,xp)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_122,c_78]) ).
tcf(c_6240,plain,
( ( sdtpldt0(xr,sdtmndt0(xn,xr)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_125,c_78]) ).
tcf(c_6241,plain,
( ( sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtmndt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp))) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_128,c_78]) ).
tcf(c_6242,plain,
( ( sdtpldt0(sz00,sdtmndt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4810,c_78]) ).
tcf(c_6243,plain,
( ( sdtpldt0(sz10,sdtmndt0(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4818,c_78]) ).
tcf(c_6244,plain,
( ( sdtpldt0(xn,sdtmndt0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4817,c_78]) ).
tcf(c_6245,plain,
( ( sdtpldt0(xm,sdtmndt0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4816,c_78]) ).
tcf(c_6246,plain,
( ( sdtpldt0(xp,sdtmndt0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4815,c_78]) ).
tcf(c_6247,plain,
( ( sdtpldt0(sz00,sdtmndt0(sz10,sz00)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4814,c_78]) ).
tcf(c_6248,plain,
( ( sdtpldt0(sz00,sdtmndt0(xn,sz00)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4813,c_78]) ).
tcf(c_6249,plain,
( ( sdtpldt0(sz00,sdtmndt0(xm,sz00)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4812,c_78]) ).
tcf(c_6250,plain,
( ( sdtpldt0(sz00,sdtmndt0(xp,sz00)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4811,c_78]) ).
tcf(c_6251,plain,
( ( sdtpldt0(sz00,sdtmndt0(xr,sz00)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5157,c_78]) ).
tcf(c_6252,plain,
( ( sdtpldt0(xr,sdtmndt0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_5160,c_78]) ).
tcf(c_6253,plain,
( ( sz00 = xn )
| ( sdtpldt0(sz10,sdtmndt0(xn,sz10)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5348,c_78]) ).
tcf(c_6254,plain,
( ( sz00 = xm )
| ( sdtpldt0(sz10,sdtmndt0(xm,sz10)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5345,c_78]) ).
tcf(c_6255,plain,
( ( sdtpldt0(sz10,sdtmndt0(xp,sz10)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5361,c_78]) ).
tcf(c_6256,plain,
( ( sz00 = xr )
| ( sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5339,c_78]) ).
tcf(c_6257,plain,
( ( sdtpldt0(xn,sdtmndt0(sdtpldt0(sz10,xn),xn)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5518,c_78]) ).
tcf(c_6258,plain,
( ( sdtpldt0(xm,sdtmndt0(sdtpldt0(sz10,xm),xm)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5541,c_78]) ).
tcf(c_6259,plain,
( ( sdtpldt0(xp,sdtmndt0(sdtpldt0(sz10,xp),xp)) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5564,c_78]) ).
tcf(c_6260,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(sz10,xr),xr)) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5774,c_78]) ).
tcf(c_6261,plain,
sdtpldt0(xr,sdtmndt0(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6252,c_4987]) ).
tcf(c_6262,plain,
sdtpldt0(xp,sdtmndt0(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6246,c_118]) ).
tcf(c_6263,plain,
sdtpldt0(xm,sdtmndt0(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6245,c_117]) ).
tcf(c_6264,plain,
sdtpldt0(xn,sdtmndt0(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6244,c_116]) ).
tcf(c_6265,plain,
sdtpldt0(sz10,sdtmndt0(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_6243,c_50]) ).
tcf(c_6266,plain,
sdtpldt0(sz00,sdtmndt0(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6242,c_49]) ).
tcf(c_6269,plain,
sdtpldt0(sz10,sdtmndt0(xp,sz10)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6255,c_118,c_50]) ).
tcf(c_6270,plain,
sdtpldt0(sz00,sdtmndt0(xr,sz00)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6251,c_4987,c_49]) ).
tcf(c_6271,plain,
sdtpldt0(sz00,sdtmndt0(xp,sz00)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6250,c_118,c_49]) ).
tcf(c_6272,plain,
sdtpldt0(sz00,sdtmndt0(xm,sz00)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6249,c_117,c_49]) ).
tcf(c_6273,plain,
sdtpldt0(sz00,sdtmndt0(xn,sz00)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6248,c_116,c_49]) ).
tcf(c_6274,plain,
sdtpldt0(sz00,sdtmndt0(sz10,sz00)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_6247,c_50,c_49]) ).
tcf(c_6275,plain,
sdtpldt0(xr,sdtmndt0(xn,xr)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6240,c_4987,c_116]) ).
tcf(c_6276,plain,
( ( sdtpldt0(xp,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(light_normalisation,[status(thm)],[c_6239,c_123]) ).
tcf(c_6277,plain,
sdtpldt0(xp,xr) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6276,c_118,c_116]) ).
tcf(c_6286,plain,
( ( sz00 = xr )
| ( sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6256,c_4987,c_50]) ).
tcf(c_6289,plain,
( ( sz00 = xm )
| ( sdtpldt0(sz10,sdtmndt0(xm,sz10)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6254,c_117,c_50]) ).
tcf(c_6292,plain,
( ( sz00 = xn )
| ( sdtpldt0(sz10,sdtmndt0(xn,sz10)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6253,c_116,c_50]) ).
tcf(c_6295,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(sz10,xr),xr)) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_6260,c_4987,c_5773]) ).
tcf(c_6296,plain,
sdtpldt0(xp,sdtmndt0(sdtpldt0(sz10,xp),xp)) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_6259,c_118,c_5563]) ).
tcf(c_6297,plain,
sdtpldt0(xm,sdtmndt0(sdtpldt0(sz10,xm),xm)) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_6258,c_117,c_5540]) ).
tcf(c_6298,plain,
sdtpldt0(xn,sdtmndt0(sdtpldt0(sz10,xn),xn)) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_6257,c_116,c_5517]) ).
tcf(c_6299,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6237,c_50]) ).
tcf(c_6377,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_181,c_80]) ).
tcf(c_6381,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_92,c_80]) ).
tcf(c_6382,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_93,c_80]) ).
tcf(c_6383,plain,
( ( xn = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xp) ),
inference(superposition,[status(thm)],[c_122,c_80]) ).
tcf(c_6384,plain,
( ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xr) ),
inference(superposition,[status(thm)],[c_125,c_80]) ).
tcf(c_6385,plain,
( ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) )
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(superposition,[status(thm)],[c_128,c_80]) ).
tcf(c_6391,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,sz00) ),
inference(superposition,[status(thm)],[c_4814,c_80]) ).
tcf(c_6392,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_4813,c_80]) ).
tcf(c_6393,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_4812,c_80]) ).
tcf(c_6394,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_4811,c_80]) ).
tcf(c_6395,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,sz00) ),
inference(superposition,[status(thm)],[c_5157,c_80]) ).
tcf(c_6397,plain,
( ( sz10 = xn )
| ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xn,sz10) ),
inference(superposition,[status(thm)],[c_5348,c_80]) ).
tcf(c_6398,plain,
( ( sz10 = xm )
| ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,sz10) ),
inference(superposition,[status(thm)],[c_5345,c_80]) ).
tcf(c_6399,plain,
( ( sz10 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xp,sz10) ),
inference(superposition,[status(thm)],[c_5361,c_80]) ).
tcf(c_6400,plain,
( ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,sz10) ),
inference(superposition,[status(thm)],[c_5339,c_80]) ).
tcf(c_6401,plain,
( ( sdtpldt0(sz10,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5518,c_80]) ).
tcf(c_6402,plain,
( ( sdtpldt0(sz10,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xm) ),
inference(superposition,[status(thm)],[c_5541,c_80]) ).
tcf(c_6403,plain,
( ( sdtpldt0(sz10,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xp) ),
inference(superposition,[status(thm)],[c_5564,c_80]) ).
tcf(c_6404,plain,
( ( sdtpldt0(sz10,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xr) ),
inference(superposition,[status(thm)],[c_5774,c_80]) ).
tcf(c_6405,plain,
( ( sz10 = xp )
| ~ sdtlseqdt0(xp,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6399,c_118,c_50]) ).
tcf(c_6408,plain,
( ( sz00 = xr )
| ~ sdtlseqdt0(xr,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6395,c_4987,c_49]) ).
tcf(c_6411,plain,
( ( sz00 = xp )
| ~ sdtlseqdt0(xp,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6394,c_118,c_49]) ).
tcf(c_6414,plain,
( ( sz00 = xm )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6393,c_117,c_49]) ).
tcf(c_6417,plain,
( ( sz00 = xn )
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6392,c_116,c_49]) ).
tcf(c_6420,plain,
~ sdtlseqdt0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6391,c_51,c_50,c_49]) ).
tcf(c_6421,plain,
~ sdtlseqdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_6384,c_124,c_4987,c_116]) ).
tcf(c_6422,plain,
( ( xn = xp )
| ~ sdtlseqdt0(xn,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6383,c_118,c_116]) ).
tcf(c_6425,plain,
( ( sz10 = xr )
| ( sz00 = xr )
| ~ sdtlseqdt0(xr,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6400,c_4987,c_50]) ).
tcf(c_6429,plain,
( ( sz10 = xm )
| ( sz00 = xm )
| ~ sdtlseqdt0(xm,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6398,c_117,c_50]) ).
tcf(c_6433,plain,
( ( sz10 = xn )
| ( sz00 = xn )
| ~ sdtlseqdt0(xn,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6397,c_116,c_50]) ).
tcf(c_6437,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6381,c_50]) ).
tcf(c_6442,plain,
( ( sdtpldt0(sz10,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6404,c_4987,c_5773]) ).
tcf(c_6445,plain,
( ( sdtpldt0(sz10,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6403,c_118,c_5563]) ).
tcf(c_6448,plain,
( ( sdtpldt0(sz10,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6402,c_117,c_5540]) ).
tcf(c_6451,plain,
( ( sdtpldt0(sz10,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6401,c_116,c_5517]) ).
tcf(c_6465,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtpldt0(sdtpldt0(xr,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6385,c_127]) ).
tcf(c_6495,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_178,c_97]) ).
tcf(c_6496,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),sK1(sK2(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_109,c_97]) ).
tcf(c_6497,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sK1(sK3(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_114,c_97]) ).
tcf(c_6498,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_121,c_97]) ).
tcf(c_6499,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_97]) ).
tcf(c_6500,plain,
( ( sdtasdt0(sz00,sK1(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4785,c_97]) ).
tcf(c_6501,plain,
( ( sdtasdt0(xp,sK1(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4903,c_97]) ).
tcf(c_6502,plain,
( ( sdtasdt0(sz10,sK1(sz10,sz00)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4786,c_97]) ).
tcf(c_6503,plain,
( ( sdtasdt0(sz10,sK1(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4778,c_97]) ).
tcf(c_6504,plain,
( ( sdtasdt0(xn,sK1(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4784,c_97]) ).
tcf(c_6505,plain,
( ( sdtasdt0(xm,sK1(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4783,c_97]) ).
tcf(c_6506,plain,
( ( sdtasdt0(xp,sK1(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4782,c_97]) ).
tcf(c_6507,plain,
( ( sdtasdt0(sz10,sK1(sz10,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4781,c_97]) ).
tcf(c_6508,plain,
( ( sdtasdt0(sz10,sK1(sz10,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4780,c_97]) ).
tcf(c_6509,plain,
( ( sdtasdt0(sz10,sK1(sz10,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4779,c_97]) ).
tcf(c_6510,plain,
( ( sdtasdt0(xn,sK1(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4791,c_97]) ).
tcf(c_6511,plain,
( ( sdtasdt0(xm,sK1(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4794,c_97]) ).
tcf(c_6512,plain,
( ( sdtasdt0(xr,sK1(xr,sz00)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5142,c_97]) ).
tcf(c_6513,plain,
( ( sdtasdt0(sz10,sK1(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5151,c_97]) ).
tcf(c_6514,plain,
( ( sdtasdt0(xr,sK1(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_5154,c_97]) ).
tcf(c_6515,plain,
( ( sdtasdt0(sdtpldt0(sz10,xn),sK1(sdtpldt0(sz10,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5804,c_97]) ).
tcf(c_6516,plain,
( ( sdtasdt0(sdtpldt0(sz10,xm),sK1(sdtpldt0(sz10,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6204,c_97]) ).
tcf(c_6517,plain,
sdtasdt0(xr,sK1(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6514,c_4987]) ).
tcf(c_6518,plain,
sdtasdt0(xp,sK1(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6506,c_118]) ).
tcf(c_6519,plain,
sdtasdt0(xm,sK1(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6505,c_117]) ).
tcf(c_6520,plain,
sdtasdt0(xn,sK1(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6504,c_116]) ).
tcf(c_6521,plain,
sdtasdt0(sz10,sK1(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_6503,c_50]) ).
tcf(c_6522,plain,
sdtasdt0(sz00,sK1(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6500,c_49]) ).
tcf(c_6523,plain,
sdtasdt0(sz10,sK1(sz10,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6513,c_4987,c_50]) ).
tcf(c_6524,plain,
sdtasdt0(xr,sK1(xr,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6512,c_4987,c_49]) ).
tcf(c_6525,plain,
sdtasdt0(xm,sK1(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6511,c_117,c_49]) ).
tcf(c_6526,plain,
sdtasdt0(xn,sK1(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6510,c_116,c_49]) ).
tcf(c_6527,plain,
sdtasdt0(sz10,sK1(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6509,c_118,c_50]) ).
tcf(c_6528,plain,
sdtasdt0(sz10,sK1(sz10,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6508,c_117,c_50]) ).
tcf(c_6529,plain,
sdtasdt0(sz10,sK1(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6507,c_116,c_50]) ).
tcf(c_6530,plain,
sdtasdt0(sz10,sK1(sz10,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6502,c_50,c_49]) ).
tcf(c_6531,plain,
sdtasdt0(xp,sK1(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6501,c_118,c_49]) ).
tcf(c_6532,plain,
sdtasdt0(sdtpldt0(sz10,xm),sK1(sdtpldt0(sz10,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6516,c_49,c_5540]) ).
tcf(c_6533,plain,
sdtasdt0(sdtpldt0(sz10,xn),sK1(sdtpldt0(sz10,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6515,c_49,c_5517]) ).
tcf(c_6534,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6499,c_118]) ).
tcf(c_6537,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6498,c_118]) ).
tcf(c_6615,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sz10) = sdtpldt0(sz10,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4836]) ).
tcf(c_6616,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sz00) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4835]) ).
tcf(c_6617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sdtsldt0(X1,X0),X2),sdtsldt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_184]) ).
tcf(c_6618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),X2) = sdtasdt0(X2,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_58]) ).
tcf(c_6619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),X2) = sdtpldt0(X2,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_54]) ).
tcf(c_6620,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_63]) ).
tcf(c_6621,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_62]) ).
tcf(c_6622,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz10,sdtsldt0(X1,X0)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_61]) ).
tcf(c_6623,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz10) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_60]) ).
tcf(c_6624,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(X1,X0)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_57]) ).
tcf(c_6625,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sz00) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_56]) ).
tcf(c_6728,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4836]) ).
tcf(c_6729,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4835]) ).
tcf(c_6730,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sz10,sdtpldt0(sz10,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6213,c_184]) ).
tcf(c_6731,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0) = sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6213,c_58]) ).
tcf(c_6732,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0) = sdtpldt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6213,c_54]) ).
tcf(c_6733,plain,
sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm))) = sz00,
inference(superposition,[status(thm)],[c_6213,c_63]) ).
tcf(c_6734,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6213,c_62]) ).
tcf(c_6735,plain,
sdtasdt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_6213,c_61]) ).
tcf(c_6736,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_6213,c_60]) ).
tcf(c_6737,plain,
sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_6213,c_57]) ).
tcf(c_6738,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_6213,c_56]) ).
tcf(c_6786,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6277,c_71]) ).
tcf(c_6787,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6277,c_70]) ).
tcf(c_6790,plain,
( ( sz00 = xp )
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6787,c_4987,c_118]) ).
tcf(c_6793,plain,
( ( sz00 = xr )
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6786,c_4987,c_118]) ).
tcf(c_6796,plain,
( doDivides0(sdtpldt0(sz10,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5756,c_178]) ).
tcf(c_6799,plain,
doDivides0(sdtpldt0(sz10,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6796,c_49,c_5563]) ).
tcf(c_6800,plain,
( ( sdtasdt0(sdtpldt0(sz10,xp),sK1(sdtpldt0(sz10,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6799,c_97]) ).
tcf(c_6802,plain,
sdtasdt0(sdtpldt0(sz10,xp),sK1(sdtpldt0(sz10,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6800,c_49,c_5563]) ).
tcf(c_6806,plain,
( doDivides0(sdtpldt0(sz10,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5785,c_178]) ).
tcf(c_6809,plain,
doDivides0(sdtpldt0(sz10,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6806,c_49,c_5773]) ).
tcf(c_6810,plain,
( ( sdtasdt0(sdtpldt0(sz10,xr),sK1(sdtpldt0(sz10,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6809,c_97]) ).
tcf(c_6812,plain,
sdtasdt0(sdtpldt0(sz10,xr),sK1(sdtpldt0(sz10,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6810,c_49,c_5773]) ).
tcf(c_6813,plain,
( ( sK0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6074,c_71]) ).
tcf(c_6817,plain,
( ( sK0(xr,xr) = sz00 )
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6813,c_4987]) ).
tcf(c_6821,plain,
( ( sK0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_6075,c_71]) ).
tcf(c_6825,plain,
( ( sK0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6821,c_118]) ).
tcf(c_6829,plain,
( ( sK0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_6076,c_71]) ).
tcf(c_6833,plain,
( ( sK0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sz00 != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6829,c_117]) ).
tcf(c_6847,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sdtasdt0(sz10,X0),sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_191]) ).
tcf(c_6848,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtpldt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_191]) ).
tcf(c_6849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_191]) ).
tcf(c_6850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK0(X0,X1),X2),sK0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_191]) ).
tcf(c_6851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(X1,X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtmndt0(X1,X0),X2),sdtmndt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_191]) ).
tcf(c_6852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK1(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sK1(X0,X1),X2),sK1(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_191]) ).
tcf(c_6853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(X1,X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtsldt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_191]) ).
tcf(c_6854,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK2(X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sK2(X0),X1),sK2(X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_191]) ).
tcf(c_6855,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK3(X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sK3(X0),X1),sK3(X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_191]) ).
tcf(c_6856,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_191]) ).
tcf(c_6857,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_117,c_191]) ).
tcf(c_6858,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtsldt0(sdtasdt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_191]) ).
tcf(c_6859,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(sdtasdt0(xr,X0),xr) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4987,c_191]) ).
tcf(c_6860,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5517,c_191]) ).
tcf(c_6861,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5540,c_191]) ).
tcf(c_6862,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_191]) ).
tcf(c_6863,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5773,c_191]) ).
tcf(c_6864,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sz10,sdtpldt0(sz10,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6213,c_191]) ).
tcf(c_6877,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(sz10,X0),sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6847,c_51]) ).
tcf(c_6880,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6863,c_5778]) ).
tcf(c_6883,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6862,c_5747]) ).
tcf(c_6886,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6861,c_5748]) ).
tcf(c_6889,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6860,c_5749]) ).
tcf(c_7048,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_181,c_81]) ).
tcf(c_7051,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_83,c_81]) ).
tcf(c_7052,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_92,c_81]) ).
tcf(c_7053,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_93,c_81]) ).
tcf(c_7054,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_122,c_81]) ).
tcf(c_7055,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_125,c_81]) ).
tcf(c_7056,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X0) ),
inference(superposition,[status(thm)],[c_128,c_81]) ).
tcf(c_7062,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4814,c_81]) ).
tcf(c_7063,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_4813,c_81]) ).
tcf(c_7064,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_4812,c_81]) ).
tcf(c_7065,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4811,c_81]) ).
tcf(c_7066,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5157,c_81]) ).
tcf(c_7068,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_5348,c_81]) ).
tcf(c_7069,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_5345,c_81]) ).
tcf(c_7070,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_5361,c_81]) ).
tcf(c_7071,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5339,c_81]) ).
tcf(c_7072,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5518,c_81]) ).
tcf(c_7073,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_5541,c_81]) ).
tcf(c_7074,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_5564,c_81]) ).
tcf(c_7075,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_5774,c_81]) ).
tcf(c_7076,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7070,c_118,c_50]) ).
tcf(c_7080,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7066,c_4987,c_49]) ).
tcf(c_7084,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7065,c_118,c_49]) ).
tcf(c_7088,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7064,c_117,c_49]) ).
tcf(c_7092,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7063,c_116,c_49]) ).
tcf(c_7096,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7062,c_50,c_49]) ).
tcf(c_7100,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7055,c_4987,c_116]) ).
tcf(c_7104,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7054,c_118,c_116]) ).
tcf(c_7114,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7075,c_4987,c_5773]) ).
tcf(c_7118,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7074,c_118,c_5563]) ).
tcf(c_7122,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7073,c_117,c_5540]) ).
tcf(c_7126,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7072,c_116,c_5517]) ).
tcf(c_7130,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sz00 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7071,c_4987,c_50]) ).
tcf(c_7135,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sz00 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7069,c_117,c_50]) ).
tcf(c_7140,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sz00 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7068,c_116,c_50]) ).
tcf(c_7151,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7052,c_50]) ).
tcf(c_7178,plain,
( ( sK0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6077,c_71]) ).
tcf(c_7182,plain,
( ( sK0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7178,c_116]) ).
tcf(c_7190,plain,
( ( sK0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6079,c_71]) ).
tcf(c_7194,plain,
( ( sK0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7190,c_49]) ).
tcf(c_7198,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_6082,c_70]) ).
tcf(c_7201,plain,
( ~ aNaturalNumber0(sK0(sz10,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7198,c_51,c_50]) ).
tcf(c_7204,plain,
( ( sK0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6083,c_71]) ).
tcf(c_7208,plain,
( ( sK0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7204,c_49]) ).
tcf(c_7212,plain,
( ( sK0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_6084,c_71]) ).
tcf(c_7216,plain,
( ( sK0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7212,c_49]) ).
tcf(c_7220,plain,
( ( sK0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_6085,c_71]) ).
tcf(c_7224,plain,
( ( sK0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sz00 != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7220,c_49]) ).
tcf(c_7233,plain,
( ( sK0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6086,c_71]) ).
tcf(c_7237,plain,
( ( sK0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7233,c_49]) ).
tcf(c_7248,plain,
( ( sK0(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6088,c_71]) ).
tcf(c_7249,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6088,c_70]) ).
tcf(c_7252,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7249,c_4987]) ).
tcf(c_7256,plain,
( ( sK0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7248,c_4987]) ).
tcf(c_7284,plain,
( ( sK0(xp,xn) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,xn))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6089,c_71]) ).
tcf(c_7285,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,xn))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6089,c_70]) ).
tcf(c_7288,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(sK0(xp,xn))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7285,c_118]) ).
tcf(c_7292,plain,
( ( sK0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sK0(xp,xn))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7284,c_118]) ).
tcf(c_7296,plain,
( ( sdtmndt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6261,c_71]) ).
tcf(c_7300,plain,
( ( sdtmndt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7296,c_4987]) ).
tcf(c_7304,plain,
( doDivides0(sz10,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5549,c_178]) ).
tcf(c_7306,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5549,c_93]) ).
tcf(c_7307,plain,
doDivides0(sz10,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_7304,c_50,c_5540]) ).
tcf(c_7308,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_7306,c_5748,c_50,c_5540]) ).
tcf(c_7322,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_178,c_101]) ).
tcf(c_7323,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| doDivides0(sK2(X0),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0))
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_109,c_101]) ).
tcf(c_7324,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK3(X0),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_114,c_101]) ).
tcf(c_7325,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_121,c_101]) ).
tcf(c_7326,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ doDivides0(sdtasdt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_126,c_101]) ).
tcf(c_7328,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4903,c_101]) ).
tcf(c_7329,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4786,c_101]) ).
tcf(c_7334,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(superposition,[status(thm)],[c_4781,c_101]) ).
tcf(c_7335,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_4780,c_101]) ).
tcf(c_7336,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(superposition,[status(thm)],[c_4779,c_101]) ).
tcf(c_7337,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4791,c_101]) ).
tcf(c_7338,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4794,c_101]) ).
tcf(c_7339,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5142,c_101]) ).
tcf(c_7340,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0) ),
inference(superposition,[status(thm)],[c_5151,c_101]) ).
tcf(c_7342,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5804,c_101]) ).
tcf(c_7343,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6204,c_101]) ).
tcf(c_7344,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6799,c_101]) ).
tcf(c_7345,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6809,c_101]) ).
tcf(c_7346,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7340,c_4987,c_50]) ).
tcf(c_7350,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7339,c_4987,c_49]) ).
tcf(c_7354,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7338,c_117,c_49]) ).
tcf(c_7358,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7337,c_116,c_49]) ).
tcf(c_7362,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7336,c_118,c_50]) ).
tcf(c_7366,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7335,c_117,c_50]) ).
tcf(c_7370,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7334,c_116,c_50]) ).
tcf(c_7374,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7329,c_50,c_49]) ).
tcf(c_7378,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7328,c_118,c_49]) ).
tcf(c_7382,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7345,c_49,c_5773]) ).
tcf(c_7386,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7344,c_49,c_5563]) ).
tcf(c_7390,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7343,c_49,c_5540]) ).
tcf(c_7394,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7342,c_49,c_5517]) ).
tcf(c_7398,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ doDivides0(sdtasdt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7326,c_118]) ).
tcf(c_7403,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7325,c_118]) ).
tcf(c_7473,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_55]) ).
tcf(c_7474,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz10,X0),X1) = sdtpldt0(sz10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_7475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_55]) ).
tcf(c_7476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_55]) ).
tcf(c_7477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X2),X3) = sdtpldt0(sK0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_55]) ).
tcf(c_7478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtmndt0(X1,X0),X2),X3) = sdtpldt0(sdtmndt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_55]) ).
tcf(c_7479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X2),X3) = sdtpldt0(sK1(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_55]) ).
tcf(c_7480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),X3) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_55]) ).
tcf(c_7481,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK2(X0),X1),X2) = sdtpldt0(sK2(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_55]) ).
tcf(c_7482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK3(X0),X1),X2) = sdtpldt0(sK3(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_55]) ).
tcf(c_7483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),X1) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_55]) ).
tcf(c_7484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),X1) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_117,c_55]) ).
tcf(c_7485,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),X1) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_55]) ).
tcf(c_7486,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xr,X0),X1) = sdtpldt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4987,c_55]) ).
tcf(c_7487,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xn),X0),X1) = sdtpldt0(sdtpldt0(sz10,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5517,c_55]) ).
tcf(c_7488,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),X0),X1) = sdtpldt0(sdtpldt0(sz10,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5540,c_55]) ).
tcf(c_7489,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xp),X0),X1) = sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_55]) ).
tcf(c_7490,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xr),X0),X1) = sdtpldt0(sdtpldt0(sz10,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5773,c_55]) ).
tcf(c_7491,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),X1) = sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6213,c_55]) ).
tcf(c_7670,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_59]) ).
tcf(c_7671,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz10,X0),X1) = sdtasdt0(sz10,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_59]) ).
tcf(c_7672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_59]) ).
tcf(c_7673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_59]) ).
tcf(c_7674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK0(X0,X1),X2),X3) = sdtasdt0(sK0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_59]) ).
tcf(c_7675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtmndt0(X1,X0),X2),X3) = sdtasdt0(sdtmndt0(X1,X0),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_59]) ).
tcf(c_7676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK1(X0,X1),X2),X3) = sdtasdt0(sK1(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_59]) ).
tcf(c_7677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),X3) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_59]) ).
tcf(c_7678,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK2(X0),X1),X2) = sdtasdt0(sK2(X0),sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_59]) ).
tcf(c_7679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK3(X0),X1),X2) = sdtasdt0(sK3(X0),sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_59]) ).
tcf(c_7680,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),X1) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_59]) ).
tcf(c_7681,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),X1) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_117,c_59]) ).
tcf(c_7682,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),X1) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_59]) ).
tcf(c_7683,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xr,X0),X1) = sdtasdt0(xr,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4987,c_59]) ).
tcf(c_7684,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),X1) = sdtasdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5517,c_59]) ).
tcf(c_7685,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),X1) = sdtasdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5540,c_59]) ).
tcf(c_7686,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),X1) = sdtasdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_59]) ).
tcf(c_7687,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),X1) = sdtasdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5773,c_59]) ).
tcf(c_7688,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),X1) = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6213,c_59]) ).
tcf(c_7850,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_7307,c_101]) ).
tcf(c_7851,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7307,c_97]) ).
tcf(c_7853,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_7851,c_50,c_5540]) ).
tcf(c_7854,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7850,c_50,c_5540]) ).
tcf(c_7858,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_7308,c_81]) ).
tcf(c_7859,plain,
( ( sdtpldt0(sz10,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz10) ),
inference(superposition,[status(thm)],[c_7308,c_80]) ).
tcf(c_7860,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtpldt0(sz10,xm),sz10)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7308,c_78]) ).
tcf(c_7861,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7308,c_75]) ).
tcf(c_7862,plain,
( iLess0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7308,c_94]) ).
tcf(c_7863,plain,
( iLess0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7862,c_50,c_5540]) ).
tcf(c_7866,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_7861,c_50,c_5540]) ).
tcf(c_7867,plain,
sdtpldt0(sz10,sdtmndt0(sdtpldt0(sz10,xm),sz10)) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_7860,c_50,c_5540]) ).
tcf(c_7868,plain,
( ( sdtpldt0(sz10,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7859,c_50,c_5540]) ).
tcf(c_7871,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7858,c_50,c_5540]) ).
tcf(c_7907,plain,
( ( sdtmndt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_6262,c_71]) ).
tcf(c_7911,plain,
( ( sdtmndt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7907,c_118]) ).
tcf(c_7915,plain,
( ( sdtmndt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_6263,c_71]) ).
tcf(c_7919,plain,
( ( sdtmndt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sz00 != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7915,c_117]) ).
tcf(c_7923,plain,
( ( sdtmndt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6264,c_71]) ).
tcf(c_7927,plain,
( ( sdtmndt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7923,c_116]) ).
tcf(c_7944,plain,
( ( sdtmndt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6266,c_71]) ).
tcf(c_7948,plain,
( ( sdtmndt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7944,c_49]) ).
tcf(c_7952,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_6269,c_70]) ).
tcf(c_7955,plain,
( ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7952,c_51,c_50]) ).
tcf(c_7958,plain,
( ( sdtmndt0(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6270,c_71]) ).
tcf(c_7962,plain,
( ( sdtmndt0(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7958,c_49]) ).
tcf(c_7966,plain,
( ( sdtmndt0(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_6271,c_71]) ).
tcf(c_7970,plain,
( ( sdtmndt0(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7966,c_49]) ).
tcf(c_7974,plain,
( ( sdtmndt0(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_6272,c_71]) ).
tcf(c_7978,plain,
( ( sdtmndt0(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sz00 != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7974,c_49]) ).
tcf(c_7982,plain,
( ( sdtmndt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6273,c_71]) ).
tcf(c_7986,plain,
( ( sdtmndt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7982,c_49]) ).
tcf(c_7991,plain,
( doDivides0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5550,c_178]) ).
tcf(c_7993,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5550,c_93]) ).
tcf(c_7994,plain,
doDivides0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_7991,c_50,c_5540]) ).
tcf(c_7995,plain,
sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_7993,c_51,c_50,c_5540]) ).
tcf(c_8008,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_178,c_112]) ).
tcf(c_8010,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK3(X0) = sz10 )
| ( sK3(X0) = X0 )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_114,c_112]) ).
tcf(c_8011,plain,
( ( sz10 = xp )
| ( sdtasdt0(xn,xm) = xp )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_121,c_112]) ).
tcf(c_8012,plain,
( ( sz10 = xp )
| ( sdtasdt0(xr,xm) = xp )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_112]) ).
tcf(c_8033,plain,
( ( sz10 = xp )
| ( sdtasdt0(xr,xm) = xp )
| ~ isPrime0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8012,c_118]) ).
tcf(c_8038,plain,
( ( sz10 = xp )
| ( sdtasdt0(xn,xm) = xp )
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8011,c_118]) ).
tcf(c_8117,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4623,c_66]) ).
tcf(c_8118,plain,
! [X0: $i] :
( ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6266,c_66]) ).
tcf(c_8119,plain,
! [X0: $i] :
( ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6079,c_66]) ).
tcf(c_8120,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_4624,c_66]) ).
tcf(c_8121,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4625,c_66]) ).
tcf(c_8122,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4626,c_66]) ).
tcf(c_8123,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4627,c_66]) ).
tcf(c_8124,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_4633,c_66]) ).
tcf(c_8125,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4634,c_66]) ).
tcf(c_8126,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4635,c_66]) ).
tcf(c_8127,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4636,c_66]) ).
tcf(c_8128,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_5122,c_66]) ).
tcf(c_8129,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_5123,c_66]) ).
tcf(c_8130,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5434,c_66]) ).
tcf(c_8131,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5435,c_66]) ).
tcf(c_8132,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5436,c_66]) ).
tcf(c_8133,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5437,c_66]) ).
tcf(c_8134,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,sdtpldt0(sz10,xm)) ) ),
inference(superposition,[status(thm)],[c_5542,c_66]) ).
tcf(c_8135,plain,
! [X0: $i] :
( ( sK0(xp,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ( sdtpldt0(xp,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6089,c_66]) ).
tcf(c_8136,plain,
! [X0: $i] :
( ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sdtpldt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6088,c_66]) ).
tcf(c_8137,plain,
! [X0: $i] :
( ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_6078,c_66]) ).
tcf(c_8138,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6077,c_66]) ).
tcf(c_8139,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6076,c_66]) ).
tcf(c_8140,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6075,c_66]) ).
tcf(c_8141,plain,
! [X0: $i] :
( ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_6087,c_66]) ).
tcf(c_8142,plain,
! [X0: $i] :
( ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6086,c_66]) ).
tcf(c_8143,plain,
! [X0: $i] :
( ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6085,c_66]) ).
tcf(c_8144,plain,
! [X0: $i] :
( ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6084,c_66]) ).
tcf(c_8145,plain,
! [X0: $i] :
( ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6083,c_66]) ).
tcf(c_8146,plain,
! [X0: $i] :
( ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6074,c_66]) ).
tcf(c_8147,plain,
! [X0: $i] :
( ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6082,c_66]) ).
tcf(c_8148,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6271,c_66]) ).
tcf(c_8149,plain,
! [X0: $i] :
( ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_6265,c_66]) ).
tcf(c_8150,plain,
! [X0: $i] :
( ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6264,c_66]) ).
tcf(c_8151,plain,
! [X0: $i] :
( ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6263,c_66]) ).
tcf(c_8152,plain,
! [X0: $i] :
( ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6262,c_66]) ).
tcf(c_8153,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6273,c_66]) ).
tcf(c_8154,plain,
! [X0: $i] :
( ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6272,c_66]) ).
tcf(c_8155,plain,
! [X0: $i] :
( ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6270,c_66]) ).
tcf(c_8156,plain,
! [X0: $i] :
( ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6261,c_66]) ).
tcf(c_8157,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6269,c_66]) ).
tcf(c_8158,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6277,c_66]) ).
tcf(c_8160,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8117,c_49]) ).
tcf(c_8164,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8158,c_4987,c_118]) ).
tcf(c_8168,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8129,c_4987,c_49]) ).
tcf(c_8172,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8128,c_4987,c_49]) ).
tcf(c_8176,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8127,c_118,c_49]) ).
tcf(c_8180,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8126,c_117,c_49]) ).
tcf(c_8184,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8125,c_116,c_49]) ).
tcf(c_8188,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8124,c_50,c_49]) ).
tcf(c_8192,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8123,c_118,c_49]) ).
tcf(c_8196,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8122,c_117,c_49]) ).
tcf(c_8200,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8121,c_116,c_49]) ).
tcf(c_8204,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8120,c_50,c_49]) ).
tcf(c_8208,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8133,c_4987,c_50]) ).
tcf(c_8212,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8132,c_118,c_50]) ).
tcf(c_8216,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8131,c_117,c_50]) ).
tcf(c_8220,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8130,c_116,c_50]) ).
tcf(c_8224,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8157,c_50]) ).
tcf(c_8229,plain,
! [X0: $i] :
( ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8156,c_4987]) ).
tcf(c_8234,plain,
! [X0: $i] :
( ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8155,c_49]) ).
tcf(c_8239,plain,
! [X0: $i] :
( ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8154,c_49]) ).
tcf(c_8244,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8153,c_49]) ).
tcf(c_8249,plain,
! [X0: $i] :
( ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8152,c_118]) ).
tcf(c_8254,plain,
! [X0: $i] :
( ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8151,c_117]) ).
tcf(c_8259,plain,
! [X0: $i] :
( ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8150,c_116]) ).
tcf(c_8264,plain,
! [X0: $i] :
( ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8149,c_50]) ).
tcf(c_8269,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8148,c_49]) ).
tcf(c_8274,plain,
! [X0: $i] :
( ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8147,c_50]) ).
tcf(c_8279,plain,
! [X0: $i] :
( ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8146,c_4987]) ).
tcf(c_8284,plain,
! [X0: $i] :
( ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8145,c_49]) ).
tcf(c_8289,plain,
! [X0: $i] :
( ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8144,c_49]) ).
tcf(c_8294,plain,
! [X0: $i] :
( ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8143,c_49]) ).
tcf(c_8299,plain,
! [X0: $i] :
( ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8142,c_49]) ).
tcf(c_8304,plain,
! [X0: $i] :
( ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8141,c_49]) ).
tcf(c_8309,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8140,c_118]) ).
tcf(c_8314,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8139,c_117]) ).
tcf(c_8319,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8138,c_116]) ).
tcf(c_8324,plain,
! [X0: $i] :
( ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8137,c_50]) ).
tcf(c_8329,plain,
! [X0: $i] :
( ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sdtpldt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8136,c_4987]) ).
tcf(c_8334,plain,
! [X0: $i] :
( ( sK0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ( sdtpldt0(xp,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8135,c_118]) ).
tcf(c_8339,plain,
! [X0: $i] :
( ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8119,c_49]) ).
tcf(c_8344,plain,
! [X0: $i] :
( ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8118,c_49]) ).
tcf(c_8349,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,sdtpldt0(sz10,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8134,c_50,c_5540]) ).
tcf(c_8595,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_4623,c_67]) ).
tcf(c_8596,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6266,c_67]) ).
tcf(c_8597,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(X0,sK0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6079,c_67]) ).
tcf(c_8598,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(superposition,[status(thm)],[c_4624,c_67]) ).
tcf(c_8599,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_4625,c_67]) ).
tcf(c_8600,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_4626,c_67]) ).
tcf(c_8601,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_4627,c_67]) ).
tcf(c_8602,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_4633,c_67]) ).
tcf(c_8603,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_4634,c_67]) ).
tcf(c_8604,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_4635,c_67]) ).
tcf(c_8605,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_4636,c_67]) ).
tcf(c_8606,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_5122,c_67]) ).
tcf(c_8607,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(superposition,[status(thm)],[c_5123,c_67]) ).
tcf(c_8608,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5434,c_67]) ).
tcf(c_8609,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5435,c_67]) ).
tcf(c_8610,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5436,c_67]) ).
tcf(c_8611,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5437,c_67]) ).
tcf(c_8612,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) != sdtpldt0(X0,sz10) ) ),
inference(superposition,[status(thm)],[c_5542,c_67]) ).
tcf(c_8613,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ( sdtpldt0(X0,sK0(xp,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6089,c_67]) ).
tcf(c_8614,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sdtpldt0(X0,sK0(xr,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6088,c_67]) ).
tcf(c_8615,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ( sdtpldt0(X0,sK0(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_6078,c_67]) ).
tcf(c_8616,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(X0,sK0(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6077,c_67]) ).
tcf(c_8617,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(X0,sK0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6076,c_67]) ).
tcf(c_8618,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(X0,sK0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6075,c_67]) ).
tcf(c_8619,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ( sdtpldt0(X0,sK0(sz00,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_6087,c_67]) ).
tcf(c_8620,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(X0,sK0(sz00,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6086,c_67]) ).
tcf(c_8621,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(X0,sK0(sz00,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6085,c_67]) ).
tcf(c_8622,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(X0,sK0(sz00,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6084,c_67]) ).
tcf(c_8623,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(X0,sK0(sz00,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6083,c_67]) ).
tcf(c_8624,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(X0,sK0(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6074,c_67]) ).
tcf(c_8625,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sdtpldt0(X0,sK0(sz10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6082,c_67]) ).
tcf(c_8626,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(X0,sdtmndt0(xp,sz00)) != xp ) ),
inference(superposition,[status(thm)],[c_6271,c_67]) ).
tcf(c_8627,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ( sdtpldt0(X0,sdtmndt0(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_6265,c_67]) ).
tcf(c_8628,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sdtpldt0(X0,sdtmndt0(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6264,c_67]) ).
tcf(c_8629,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(X0,sdtmndt0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6263,c_67]) ).
tcf(c_8630,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(X0,sdtmndt0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6262,c_67]) ).
tcf(c_8631,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(X0,sdtmndt0(xn,sz00)) != xn ) ),
inference(superposition,[status(thm)],[c_6273,c_67]) ).
tcf(c_8632,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(X0,sdtmndt0(xm,sz00)) != xm ) ),
inference(superposition,[status(thm)],[c_6272,c_67]) ).
tcf(c_8633,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(X0,sdtmndt0(xr,sz00)) != xr ) ),
inference(superposition,[status(thm)],[c_6270,c_67]) ).
tcf(c_8634,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(X0,sdtmndt0(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6261,c_67]) ).
tcf(c_8635,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sdtpldt0(X0,sdtmndt0(xp,sz10)) != xp ) ),
inference(superposition,[status(thm)],[c_6269,c_67]) ).
tcf(c_8636,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xn ) ),
inference(superposition,[status(thm)],[c_6277,c_67]) ).
tcf(c_8638,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8595,c_49]) ).
tcf(c_8642,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8636,c_4987,c_118]) ).
tcf(c_8646,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8607,c_4987,c_49]) ).
tcf(c_8650,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8606,c_4987,c_49]) ).
tcf(c_8654,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8605,c_118,c_49]) ).
tcf(c_8658,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8604,c_117,c_49]) ).
tcf(c_8662,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8603,c_116,c_49]) ).
tcf(c_8666,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8602,c_50,c_49]) ).
tcf(c_8670,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8601,c_118,c_49]) ).
tcf(c_8674,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8600,c_117,c_49]) ).
tcf(c_8678,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8599,c_116,c_49]) ).
tcf(c_8682,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8598,c_50,c_49]) ).
tcf(c_8686,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8611,c_4987,c_50]) ).
tcf(c_8690,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8610,c_118,c_50]) ).
tcf(c_8694,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8609,c_117,c_50]) ).
tcf(c_8698,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8608,c_116,c_50]) ).
tcf(c_8702,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sdtpldt0(X0,sdtmndt0(xp,sz10)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8635,c_50]) ).
tcf(c_8707,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(X0,sdtmndt0(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8634,c_4987]) ).
tcf(c_8712,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(X0,sdtmndt0(xr,sz00)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8633,c_49]) ).
tcf(c_8717,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(X0,sdtmndt0(xm,sz00)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8632,c_49]) ).
tcf(c_8722,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(X0,sdtmndt0(xn,sz00)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8631,c_49]) ).
tcf(c_8727,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(X0,sdtmndt0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8630,c_118]) ).
tcf(c_8732,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(X0,sdtmndt0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8629,c_117]) ).
tcf(c_8737,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ( sdtpldt0(X0,sdtmndt0(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8628,c_116]) ).
tcf(c_8742,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ( sdtpldt0(X0,sdtmndt0(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8627,c_50]) ).
tcf(c_8747,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(X0,sdtmndt0(xp,sz00)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8626,c_49]) ).
tcf(c_8752,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sdtpldt0(X0,sK0(sz10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8625,c_50]) ).
tcf(c_8757,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(X0,sK0(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8624,c_4987]) ).
tcf(c_8762,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(X0,sK0(sz00,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8623,c_49]) ).
tcf(c_8767,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(X0,sK0(sz00,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8622,c_49]) ).
tcf(c_8772,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(X0,sK0(sz00,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8621,c_49]) ).
tcf(c_8777,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(X0,sK0(sz00,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8620,c_49]) ).
tcf(c_8782,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ( sdtpldt0(X0,sK0(sz00,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8619,c_49]) ).
tcf(c_8787,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(X0,sK0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8618,c_118]) ).
tcf(c_8792,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(X0,sK0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8617,c_117]) ).
tcf(c_8797,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(X0,sK0(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8616,c_116]) ).
tcf(c_8802,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ( sdtpldt0(X0,sK0(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8615,c_50]) ).
tcf(c_8807,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sdtpldt0(X0,sK0(xr,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8614,c_4987]) ).
tcf(c_8812,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ( sdtpldt0(X0,sK0(xp,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8613,c_118]) ).
tcf(c_8817,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(X0,sK0(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8597,c_49]) ).
tcf(c_8822,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8596,c_49]) ).
tcf(c_8827,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) != sdtpldt0(X0,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8612,c_50,c_5540]) ).
tcf(c_8934,plain,
! [X0: $i] :
( ( xr = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_8936,plain,
( ( xr = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,sz00)
| ~ sdtlseqdt0(sz00,xr) ),
inference(instantiation,[status(thm)],[c_8934]) ).
tcf(c_8953,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_178,c_100]) ).
tcf(c_8954,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK2(X0) = sz00 )
| ( sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_109,c_100]) ).
tcf(c_8955,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK3(X0) = sz00 )
| ( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_114,c_100]) ).
tcf(c_8956,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_121,c_100]) ).
tcf(c_8957,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xr,xm),xp)) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_100]) ).
tcf(c_8959,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4903,c_100]) ).
tcf(c_8960,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sz00,sz10)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4786,c_100]) ).
tcf(c_8961,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4778,c_100]) ).
tcf(c_8962,plain,
( ( sz00 = xn )
| ( sdtasdt0(xn,sdtsldt0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4784,c_100]) ).
tcf(c_8963,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sdtsldt0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4783,c_100]) ).
tcf(c_8964,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4782,c_100]) ).
tcf(c_8965,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4781,c_100]) ).
tcf(c_8966,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xm,sz10)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4780,c_100]) ).
tcf(c_8967,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4779,c_100]) ).
tcf(c_8968,plain,
( ( sz00 = xn )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4791,c_100]) ).
tcf(c_8969,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4794,c_100]) ).
tcf(c_8970,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5142,c_100]) ).
tcf(c_8971,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xr,sz10)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5151,c_100]) ).
tcf(c_8972,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_5154,c_100]) ).
tcf(c_8973,plain,
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xn),sdtsldt0(sz00,sdtpldt0(sz10,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5804,c_100]) ).
tcf(c_8974,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6204,c_100]) ).
tcf(c_8975,plain,
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xp),sdtsldt0(sz00,sdtpldt0(sz10,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6799,c_100]) ).
tcf(c_8976,plain,
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xr),sdtsldt0(sz00,sdtpldt0(sz10,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6809,c_100]) ).
tcf(c_8977,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7307,c_100]) ).
tcf(c_8978,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xr,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8972,c_4987]) ).
tcf(c_8981,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(xp,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8964,c_118]) ).
tcf(c_8984,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sdtsldt0(xm,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8963,c_117]) ).
tcf(c_8987,plain,
( ( sz00 = xn )
| ( sdtasdt0(xn,sdtsldt0(xn,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8962,c_116]) ).
tcf(c_8990,plain,
sdtasdt0(sz10,sdtsldt0(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_8961,c_51,c_50]) ).
tcf(c_8991,plain,
sdtasdt0(sz10,sdtsldt0(xr,sz10)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_8971,c_51,c_4987,c_50]) ).
tcf(c_8992,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8970,c_4987,c_49]) ).
tcf(c_8995,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8969,c_117,c_49]) ).
tcf(c_8998,plain,
( ( sz00 = xn )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8968,c_116,c_49]) ).
tcf(c_9001,plain,
sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_8967,c_51,c_118,c_50]) ).
tcf(c_9002,plain,
sdtasdt0(sz10,sdtsldt0(xm,sz10)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_8966,c_51,c_117,c_50]) ).
tcf(c_9003,plain,
sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_8965,c_51,c_116,c_50]) ).
tcf(c_9004,plain,
sdtasdt0(sz10,sdtsldt0(sz00,sz10)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_8960,c_51,c_50,c_49]) ).
tcf(c_9005,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8959,c_118,c_49]) ).
tcf(c_9008,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_8977,c_51,c_50,c_5540]) ).
tcf(c_9009,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xr,xm),xp)) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8957,c_118]) ).
tcf(c_9013,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8956,c_118]) ).
tcf(c_9017,plain,
sdtasdt0(sdtpldt0(sz10,xr),sdtsldt0(sz00,sdtpldt0(sz10,xr))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_8976,c_5778,c_49,c_5773]) ).
tcf(c_9018,plain,
sdtasdt0(sdtpldt0(sz10,xp),sdtsldt0(sz00,sdtpldt0(sz10,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_8975,c_5747,c_49,c_5563]) ).
tcf(c_9019,plain,
sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_8974,c_5748,c_49,c_5540]) ).
tcf(c_9020,plain,
sdtasdt0(sdtpldt0(sz10,xn),sdtsldt0(sz00,sdtpldt0(sz10,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_8973,c_5749,c_49,c_5517]) ).
tcf(c_9097,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7994,c_100]) ).
tcf(c_9100,plain,
( ( sdtasdt0(sdtpldt0(sz10,xm),sK1(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7994,c_97]) ).
tcf(c_9102,plain,
sdtasdt0(sdtpldt0(sz10,xm),sK1(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_9100,c_5540]) ).
tcf(c_9103,plain,
sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_9097,c_5748,c_5540]) ).
tcf(c_9136,plain,
( ( sdtpldt0(sdtpldt0(sz10,xm),sdtmndt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7995,c_78]) ).
tcf(c_9137,plain,
( ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7995,c_75]) ).
tcf(c_9139,plain,
sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_9137,c_5540]) ).
tcf(c_9140,plain,
sdtpldt0(sdtpldt0(sz10,xm),sdtmndt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_9136,c_5540]) ).
tcf(c_9147,plain,
! [X0: $i] :
( ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_6274,c_66]) ).
tcf(c_9148,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz10,sz00)) != sz10 ) ),
inference(superposition,[status(thm)],[c_6274,c_67]) ).
tcf(c_9149,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz10,sz00)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9148,c_49]) ).
tcf(c_9154,plain,
! [X0: $i] :
( ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9147,c_49]) ).
tcf(c_9174,plain,
( ( sdtmndt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6275,c_71]) ).
tcf(c_9175,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6275,c_70]) ).
tcf(c_9178,plain,
! [X0: $i] :
( ( sdtmndt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ( sdtpldt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6275,c_66]) ).
tcf(c_9179,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ( sdtpldt0(X0,sdtmndt0(xn,xr)) != xn ) ),
inference(superposition,[status(thm)],[c_6275,c_67]) ).
tcf(c_9180,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9175,c_4987]) ).
tcf(c_9184,plain,
( ( sdtmndt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9174,c_4987]) ).
tcf(c_9188,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ( sdtpldt0(X0,sdtmndt0(xn,xr)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9179,c_4987]) ).
tcf(c_9193,plain,
! [X0: $i] :
( ( sdtmndt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ( sdtpldt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9178,c_4987]) ).
tcf(c_9255,plain,
~ sdtlseqdt0(xp,sz10),
inference(global_subsumption_just,[status(thm)],[c_6405,c_1581,c_6405]) ).
tcf(c_9259,plain,
~ sdtlseqdt0(xr,sz00),
inference(global_subsumption_just,[status(thm)],[c_6408,c_118,c_49,c_129,c_135,c_153,c_4785,c_4903,c_4987,c_5031,c_5157,c_5308,c_8936]) ).
tcf(c_9263,plain,
~ sdtlseqdt0(xp,sz00),
inference(global_subsumption_just,[status(thm)],[c_6411,c_118,c_49,c_1563,c_4811,c_6158]) ).
tcf(c_9267,plain,
~ sdtlseqdt0(xm,sz00),
inference(global_subsumption_just,[status(thm)],[c_6414,c_118,c_117,c_49,c_130,c_135,c_153,c_4785,c_4812,c_4903,c_5033,c_5354,c_5685]) ).
tcf(c_9271,plain,
~ sdtlseqdt0(xn,sz00),
inference(global_subsumption_just,[status(thm)],[c_6417,c_116,c_49,c_125,c_124,c_4987,c_5114,c_5157,c_5951]) ).
tcf(c_9293,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5551,c_181]) ).
tcf(c_9295,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5551,c_66]) ).
tcf(c_9296,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5551,c_67]) ).
tcf(c_9297,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_9293,c_49,c_5540]) ).
tcf(c_9298,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9296,c_49,c_5540]) ).
tcf(c_9302,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9295,c_49,c_5540]) ).
tcf(c_9332,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5434,c_102]) ).
tcf(c_9333,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5435,c_102]) ).
tcf(c_9334,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5436,c_102]) ).
tcf(c_9335,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5437,c_102]) ).
tcf(c_9336,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5542,c_102]) ).
tcf(c_9338,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ doDivides0(X0,sK0(xp,xn)) ),
inference(superposition,[status(thm)],[c_6089,c_102]) ).
tcf(c_9339,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ doDivides0(X0,sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6088,c_102]) ).
tcf(c_9344,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ doDivides0(X0,sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6087,c_102]) ).
tcf(c_9345,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6086,c_102]) ).
tcf(c_9346,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6085,c_102]) ).
tcf(c_9347,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6084,c_102]) ).
tcf(c_9348,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6083,c_102]) ).
tcf(c_9350,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ doDivides0(X0,sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6082,c_102]) ).
tcf(c_9351,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6271,c_102]) ).
tcf(c_9352,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ~ doDivides0(X0,sdtmndt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6275,c_102]) ).
tcf(c_9357,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6274,c_102]) ).
tcf(c_9358,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6273,c_102]) ).
tcf(c_9359,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6272,c_102]) ).
tcf(c_9360,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6270,c_102]) ).
tcf(c_9362,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_6269,c_102]) ).
tcf(c_9363,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_6277,c_102]) ).
tcf(c_9364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_100]) ).
tcf(c_9365,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_102,c_112]) ).
tcf(c_9366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X1)
| ~ doDivides0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ doDivides0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_102,c_101]) ).
tcf(c_9367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK1(X2,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_97]) ).
tcf(c_9368,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_102,c_104]) ).
tcf(c_9369,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9363,c_4987,c_118]) ).
tcf(c_9374,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9335,c_4987,c_50]) ).
tcf(c_9379,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9334,c_118,c_50]) ).
tcf(c_9384,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9333,c_117,c_50]) ).
tcf(c_9389,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9332,c_116,c_50]) ).
tcf(c_9394,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9362,c_50]) ).
tcf(c_9400,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9360,c_49]) ).
tcf(c_9406,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9359,c_49]) ).
tcf(c_9412,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9358,c_49]) ).
tcf(c_9418,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9357,c_49]) ).
tcf(c_9424,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ~ doDivides0(X0,sdtmndt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9352,c_4987]) ).
tcf(c_9430,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9351,c_49]) ).
tcf(c_9436,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ doDivides0(X0,sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9350,c_50]) ).
tcf(c_9442,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9348,c_49]) ).
tcf(c_9448,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9347,c_49]) ).
tcf(c_9454,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9346,c_49]) ).
tcf(c_9460,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9345,c_49]) ).
tcf(c_9466,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ doDivides0(X0,sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9344,c_49]) ).
tcf(c_9472,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ doDivides0(X0,sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9339,c_4987]) ).
tcf(c_9478,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ doDivides0(X0,sK0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9338,c_118]) ).
tcf(c_9484,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9336,c_50,c_5540]) ).
tcf(c_9565,plain,
! [X0: $i,X1: $i] :
( isPrime0(sdtpldt0(X0,X1))
| doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_109,c_103]) ).
tcf(c_9566,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_114,c_103]) ).
tcf(c_9568,plain,
( doDivides0(sdtpldt0(sz10,xm),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(sdtpldt0(sz10,xm),sz10) ),
inference(superposition,[status(thm)],[c_7994,c_103]) ).
tcf(c_9570,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6266,c_103]) ).
tcf(c_9571,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6079,c_103]) ).
tcf(c_9572,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4624,c_103]) ).
tcf(c_9573,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_4625,c_103]) ).
tcf(c_9574,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_4626,c_103]) ).
tcf(c_9575,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_4627,c_103]) ).
tcf(c_9581,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_5123,c_103]) ).
tcf(c_9582,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5434,c_103]) ).
tcf(c_9583,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5435,c_103]) ).
tcf(c_9584,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5436,c_103]) ).
tcf(c_9585,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5437,c_103]) ).
tcf(c_9586,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_5542,c_103]) ).
tcf(c_9588,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xp,xn)) ),
inference(superposition,[status(thm)],[c_6089,c_103]) ).
tcf(c_9589,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,xn))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6088,c_103]) ).
tcf(c_9590,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6078,c_103]) ).
tcf(c_9591,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6077,c_103]) ).
tcf(c_9592,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6076,c_103]) ).
tcf(c_9593,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6075,c_103]) ).
tcf(c_9594,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6087,c_103]) ).
tcf(c_9595,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6086,c_103]) ).
tcf(c_9596,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6085,c_103]) ).
tcf(c_9597,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6084,c_103]) ).
tcf(c_9598,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6083,c_103]) ).
tcf(c_9599,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6074,c_103]) ).
tcf(c_9600,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6082,c_103]) ).
tcf(c_9601,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6271,c_103]) ).
tcf(c_9602,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6275,c_103]) ).
tcf(c_9603,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6265,c_103]) ).
tcf(c_9604,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6264,c_103]) ).
tcf(c_9605,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6263,c_103]) ).
tcf(c_9606,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6262,c_103]) ).
tcf(c_9607,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz10,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6274,c_103]) ).
tcf(c_9608,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6273,c_103]) ).
tcf(c_9609,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6272,c_103]) ).
tcf(c_9610,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6270,c_103]) ).
tcf(c_9611,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6261,c_103]) ).
tcf(c_9612,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_6269,c_103]) ).
tcf(c_9613,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_6277,c_103]) ).
tcf(c_9614,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9581,c_4987,c_49]) ).
tcf(c_9618,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9575,c_118,c_49]) ).
tcf(c_9622,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9574,c_117,c_49]) ).
tcf(c_9626,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9573,c_116,c_49]) ).
tcf(c_9630,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9572,c_50,c_49]) ).
tcf(c_9634,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9613,c_4987,c_118]) ).
tcf(c_9639,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9611,c_4987]) ).
tcf(c_9644,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9606,c_118]) ).
tcf(c_9649,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9605,c_117]) ).
tcf(c_9654,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9604,c_116]) ).
tcf(c_9659,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz10,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9603,c_50]) ).
tcf(c_9664,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9599,c_4987]) ).
tcf(c_9669,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9593,c_118]) ).
tcf(c_9674,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9592,c_117]) ).
tcf(c_9679,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9591,c_116]) ).
tcf(c_9684,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9590,c_50]) ).
tcf(c_9689,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9571,c_49]) ).
tcf(c_9694,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz00,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9570,c_49]) ).
tcf(c_9699,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9585,c_4987,c_50]) ).
tcf(c_9704,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9584,c_118,c_50]) ).
tcf(c_9709,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9583,c_117,c_50]) ).
tcf(c_9714,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9582,c_116,c_50]) ).
tcf(c_9719,plain,
( doDivides0(sdtpldt0(sz10,xm),xm)
| ~ doDivides0(sdtpldt0(sz10,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9568,c_117,c_50,c_5540]) ).
tcf(c_9722,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9612,c_50]) ).
tcf(c_9728,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9610,c_49]) ).
tcf(c_9734,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9609,c_49]) ).
tcf(c_9740,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9608,c_49]) ).
tcf(c_9746,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz10,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9607,c_49]) ).
tcf(c_9752,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9602,c_4987]) ).
tcf(c_9758,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9601,c_49]) ).
tcf(c_9764,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9600,c_50]) ).
tcf(c_9770,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9598,c_49]) ).
tcf(c_9776,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9597,c_49]) ).
tcf(c_9782,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9596,c_49]) ).
tcf(c_9788,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9595,c_49]) ).
tcf(c_9794,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9594,c_49]) ).
tcf(c_9800,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9589,c_4987]) ).
tcf(c_9806,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9588,c_118]) ).
tcf(c_9812,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9586,c_50,c_5540]) ).
tcf(c_9989,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_9990,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(sz10,X1)) = sdtasdt0(sz10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_64]) ).
tcf(c_9991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),X3)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_64]) ).
tcf(c_9992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),X3)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_64]) ).
tcf(c_9993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK0(X0,X1),X2),sdtasdt0(sK0(X0,X1),X3)) = sdtasdt0(sK0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_64]) ).
tcf(c_9994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtmndt0(X1,X0),X2),sdtasdt0(sdtmndt0(X1,X0),X3)) = sdtasdt0(sdtmndt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_64]) ).
tcf(c_9995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X0,X1),X2),sdtasdt0(sK1(X0,X1),X3)) = sdtasdt0(sK1(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_64]) ).
tcf(c_9996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtasdt0(sdtsldt0(X1,X0),X3)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_64]) ).
tcf(c_9997,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK2(X0),X1),sdtasdt0(sK2(X0),X2)) = sdtasdt0(sK2(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_64]) ).
tcf(c_9998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK3(X0),X1),sdtasdt0(sK3(X0),X2)) = sdtasdt0(sK3(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_64]) ).
tcf(c_9999,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,X1)) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_64]) ).
tcf(c_10000,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,X1)) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_117,c_64]) ).
tcf(c_10001,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,X1)) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_64]) ).
tcf(c_10002,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xr,X0),sdtasdt0(xr,X1)) = sdtasdt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4987,c_64]) ).
tcf(c_10003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtasdt0(sdtpldt0(sz10,xn),X1)) = sdtasdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5517,c_64]) ).
tcf(c_10004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtasdt0(sdtpldt0(sz10,xm),X1)) = sdtasdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5540,c_64]) ).
tcf(c_10005,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtasdt0(sdtpldt0(sz10,xp),X1)) = sdtasdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_64]) ).
tcf(c_10006,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtasdt0(sdtpldt0(sz10,xr),X1)) = sdtasdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5773,c_64]) ).
tcf(c_10007,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X1)) = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6213,c_64]) ).
tcf(c_10192,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00)) = sdtasdt0(sdtpldt0(X0,X1),sz00) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_65]) ).
tcf(c_10193,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10)) = sdtasdt0(sdtpldt0(X0,X1),sz10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_65]) ).
tcf(c_10194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(X3,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_65]) ).
tcf(c_10195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(X3,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_65]) ).
tcf(c_10196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK0(X0,X1)),sdtasdt0(X3,sK0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_65]) ).
tcf(c_10197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtmndt0(X1,X0)),sdtasdt0(X3,sdtmndt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,X3),sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_65]) ).
tcf(c_10198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK1(X0,X1)),sdtasdt0(X3,sK1(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK1(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_65]) ).
tcf(c_10199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),sdtasdt0(X3,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,X3),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_65]) ).
tcf(c_10200,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK2(X0)),sdtasdt0(X2,sK2(X0))) = sdtasdt0(sdtpldt0(X1,X2),sK2(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_65]) ).
tcf(c_10201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK3(X0)),sdtasdt0(X2,sK3(X0))) = sdtasdt0(sdtpldt0(X1,X2),sK3(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_65]) ).
tcf(c_10202,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn)) = sdtasdt0(sdtpldt0(X0,X1),xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_116,c_65]) ).
tcf(c_10203,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X1,xm)) = sdtasdt0(sdtpldt0(X0,X1),xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_117,c_65]) ).
tcf(c_10204,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xp),sdtasdt0(X1,xp)) = sdtasdt0(sdtpldt0(X0,X1),xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_118,c_65]) ).
tcf(c_10205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xr),sdtasdt0(X1,xr)) = sdtasdt0(sdtpldt0(X0,X1),xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4987,c_65]) ).
tcf(c_10206,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtasdt0(X1,sdtpldt0(sz10,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5517,c_65]) ).
tcf(c_10207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtasdt0(X1,sdtpldt0(sz10,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5540,c_65]) ).
tcf(c_10208,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtasdt0(X1,sdtpldt0(sz10,xp))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_65]) ).
tcf(c_10209,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtasdt0(X1,sdtpldt0(sz10,xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5773,c_65]) ).
tcf(c_10210,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))),sdtasdt0(X1,sdtpldt0(sz10,sdtpldt0(sz10,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,sdtpldt0(sz10,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6213,c_65]) ).
tcf(c_10385,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_9297,c_81]) ).
tcf(c_10386,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz00) ),
inference(superposition,[status(thm)],[c_9297,c_80]) ).
tcf(c_10387,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(sz10,xm),sz00)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_9297,c_78]) ).
tcf(c_10388,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_9297,c_75]) ).
tcf(c_10389,plain,
( iLess0(sz00,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_9297,c_94]) ).
tcf(c_10390,plain,
iLess0(sz00,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_10389,c_5748,c_49,c_5540]) ).
tcf(c_10391,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_10388,c_49,c_5540]) ).
tcf(c_10392,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(sz10,xm),sz00)) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_10387,c_49,c_5540]) ).
tcf(c_10393,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10386,c_5748,c_49,c_5540]) ).
tcf(c_10394,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10385,c_49,c_5540]) ).
tcf(c_10445,plain,
! [X0: $i] :
( ( xm = X0 )
| ( xm != xm )
| ( X0 != xm ) ),
inference(instantiation,[status(thm)],[c_5693]) ).
tcf(c_10446,plain,
( ( xm = sz00 )
| ( xm != xm )
| ( sz00 != xm ) ),
inference(instantiation,[status(thm)],[c_10445]) ).
tcf(c_10470,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6523,c_72]) ).
tcf(c_10473,plain,
( sdtlseqdt0(sz10,xr)
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6523,c_93]) ).
tcf(c_10474,plain,
( sdtlseqdt0(sz10,xr)
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10473,c_50]) ).
tcf(c_10478,plain,
( ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10470,c_51,c_50]) ).
tcf(c_10482,plain,
( ( sz00 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6524,c_72]) ).
tcf(c_10485,plain,
( sdtlseqdt0(xr,sz00)
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6524,c_93]) ).
tcf(c_10486,plain,
( ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10485,c_9259,c_4987]) ).
tcf(c_10490,plain,
( ( sz00 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6525,c_72]) ).
tcf(c_10493,plain,
( sdtlseqdt0(xm,sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6525,c_93]) ).
tcf(c_10494,plain,
( ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10493,c_9267,c_117]) ).
tcf(c_10502,plain,
( ( sz00 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6526,c_72]) ).
tcf(c_10505,plain,
( sdtlseqdt0(xn,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6526,c_93]) ).
tcf(c_10506,plain,
( ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10505,c_9271,c_116]) ).
tcf(c_10510,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_6527,c_72]) ).
tcf(c_10514,plain,
( ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10510,c_51,c_50]) ).
tcf(c_10536,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4623,c_85]) ).
tcf(c_10537,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_6266,c_85]) ).
tcf(c_10538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(sK0(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_6079,c_85]) ).
tcf(c_10539,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4624,c_85]) ).
tcf(c_10540,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4625,c_85]) ).
tcf(c_10541,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4626,c_85]) ).
tcf(c_10542,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4627,c_85]) ).
tcf(c_10543,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4633,c_85]) ).
tcf(c_10544,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_4634,c_85]) ).
tcf(c_10545,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_4635,c_85]) ).
tcf(c_10546,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4636,c_85]) ).
tcf(c_10547,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5122,c_85]) ).
tcf(c_10548,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5123,c_85]) ).
tcf(c_10549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(xn,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5434,c_85]) ).
tcf(c_10550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(xm,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5435,c_85]) ).
tcf(c_10551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(xp,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5436,c_85]) ).
tcf(c_10552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(xr,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5437,c_85]) ).
tcf(c_10553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5542,c_85]) ).
tcf(c_10554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_5551,c_85]) ).
tcf(c_10555,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( sK0(xp,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ sdtlseqdt0(sK0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_6089,c_85]) ).
tcf(c_10556,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ sdtlseqdt0(sK0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_6088,c_85]) ).
tcf(c_10557,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ sdtlseqdt0(sK0(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_6078,c_85]) ).
tcf(c_10558,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_6077,c_85]) ).
tcf(c_10559,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_6076,c_85]) ).
tcf(c_10560,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_6075,c_85]) ).
tcf(c_10561,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ sdtlseqdt0(sK0(sz00,sz10),X0) ),
inference(superposition,[status(thm)],[c_6087,c_85]) ).
tcf(c_10562,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(sK0(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_6086,c_85]) ).
tcf(c_10563,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(sK0(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_6085,c_85]) ).
tcf(c_10564,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(sK0(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_6084,c_85]) ).
tcf(c_10565,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(sK0(sz00,xr),X0) ),
inference(superposition,[status(thm)],[c_6083,c_85]) ).
tcf(c_10566,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(sK0(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_6074,c_85]) ).
tcf(c_10567,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ sdtlseqdt0(sK0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_6082,c_85]) ).
tcf(c_10568,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(sdtmndt0(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_6271,c_85]) ).
tcf(c_10569,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( sdtmndt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ~ sdtlseqdt0(sdtmndt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_6275,c_85]) ).
tcf(c_10570,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ sdtlseqdt0(sdtmndt0(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_6265,c_85]) ).
tcf(c_10571,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ sdtlseqdt0(sdtmndt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_6264,c_85]) ).
tcf(c_10572,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(sdtmndt0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_6263,c_85]) ).
tcf(c_10573,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(sdtmndt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_6262,c_85]) ).
tcf(c_10574,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz10,sz00),X0) ),
inference(superposition,[status(thm)],[c_6274,c_85]) ).
tcf(c_10575,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(sdtmndt0(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_6273,c_85]) ).
tcf(c_10576,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(sdtmndt0(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_6272,c_85]) ).
tcf(c_10577,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(sdtmndt0(xr,sz00),X0) ),
inference(superposition,[status(thm)],[c_6270,c_85]) ).
tcf(c_10578,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(sdtmndt0(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_6261,c_85]) ).
tcf(c_10579,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ sdtlseqdt0(sdtmndt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_6269,c_85]) ).
tcf(c_10580,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_6277,c_85]) ).
tcf(c_10581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4623,c_85]) ).
tcf(c_10582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6266,c_85]) ).
tcf(c_10583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(X0,sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6079,c_85]) ).
tcf(c_10584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4624,c_85]) ).
tcf(c_10585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4625,c_85]) ).
tcf(c_10586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4626,c_85]) ).
tcf(c_10587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4627,c_85]) ).
tcf(c_10588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4633,c_85]) ).
tcf(c_10589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_4634,c_85]) ).
tcf(c_10590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_4635,c_85]) ).
tcf(c_10591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_4636,c_85]) ).
tcf(c_10592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5122,c_85]) ).
tcf(c_10593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5123,c_85]) ).
tcf(c_10594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5434,c_85]) ).
tcf(c_10595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5435,c_85]) ).
tcf(c_10596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5436,c_85]) ).
tcf(c_10597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5437,c_85]) ).
tcf(c_10598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5542,c_85]) ).
tcf(c_10599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5551,c_85]) ).
tcf(c_10600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( sK0(xp,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ sdtlseqdt0(X0,sK0(xp,xn)) ),
inference(superposition,[status(thm)],[c_6089,c_85]) ).
tcf(c_10601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ sdtlseqdt0(X0,sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6088,c_85]) ).
tcf(c_10602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ sdtlseqdt0(X0,sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6078,c_85]) ).
tcf(c_10603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6077,c_85]) ).
tcf(c_10604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6076,c_85]) ).
tcf(c_10605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(X0,sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6075,c_85]) ).
tcf(c_10606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ sdtlseqdt0(X0,sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6087,c_85]) ).
tcf(c_10607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(X0,sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6086,c_85]) ).
tcf(c_10608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(X0,sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6085,c_85]) ).
tcf(c_10609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(X0,sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6084,c_85]) ).
tcf(c_10610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6083,c_85]) ).
tcf(c_10611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6074,c_85]) ).
tcf(c_10612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ sdtlseqdt0(X0,sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6082,c_85]) ).
tcf(c_10613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6271,c_85]) ).
tcf(c_10614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( sdtmndt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6275,c_85]) ).
tcf(c_10615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6265,c_85]) ).
tcf(c_10616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6264,c_85]) ).
tcf(c_10617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6263,c_85]) ).
tcf(c_10618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6262,c_85]) ).
tcf(c_10619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6274,c_85]) ).
tcf(c_10620,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6273,c_85]) ).
tcf(c_10621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6272,c_85]) ).
tcf(c_10622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6270,c_85]) ).
tcf(c_10623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6261,c_85]) ).
tcf(c_10624,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_6269,c_85]) ).
tcf(c_10625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_6277,c_85]) ).
tcf(c_10626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X3),X2)
| ( X1 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ aNaturalNumber0(sdtpldt0(X0,X3))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_85,c_81]) ).
tcf(c_10627,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_85,c_80]) ).
tcf(c_10628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,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_85,c_78]) ).
tcf(c_10629,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X0,X2))) = sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_75]) ).
tcf(c_10630,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_85,c_94]) ).
tcf(c_10631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10581,c_49]) ).
tcf(c_10636,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10536,c_49]) ).
tcf(c_10641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10625,c_4987,c_118]) ).
tcf(c_10646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10593,c_4987,c_49]) ).
tcf(c_10651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10592,c_4987,c_49]) ).
tcf(c_10656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10591,c_118,c_49]) ).
tcf(c_10661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10590,c_117,c_49]) ).
tcf(c_10666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10589,c_116,c_49]) ).
tcf(c_10671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10588,c_50,c_49]) ).
tcf(c_10676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10587,c_118,c_49]) ).
tcf(c_10681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10586,c_117,c_49]) ).
tcf(c_10686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10585,c_116,c_49]) ).
tcf(c_10691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10584,c_50,c_49]) ).
tcf(c_10696,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10580,c_4987,c_118]) ).
tcf(c_10701,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10548,c_4987,c_49]) ).
tcf(c_10706,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10547,c_4987,c_49]) ).
tcf(c_10711,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10546,c_118,c_49]) ).
tcf(c_10716,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10545,c_117,c_49]) ).
tcf(c_10721,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10544,c_116,c_49]) ).
tcf(c_10726,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10543,c_50,c_49]) ).
tcf(c_10731,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10542,c_118,c_49]) ).
tcf(c_10736,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10541,c_117,c_49]) ).
tcf(c_10741,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10540,c_116,c_49]) ).
tcf(c_10746,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10539,c_50,c_49]) ).
tcf(c_10751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10597,c_4987,c_50]) ).
tcf(c_10756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10596,c_118,c_50]) ).
tcf(c_10761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10595,c_117,c_50]) ).
tcf(c_10766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10594,c_116,c_50]) ).
tcf(c_10771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(xr,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10552,c_4987,c_50]) ).
tcf(c_10776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(xp,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10551,c_118,c_50]) ).
tcf(c_10781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(xm,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10550,c_117,c_50]) ).
tcf(c_10786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(xn,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10549,c_116,c_50]) ).
tcf(c_10791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10624,c_50]) ).
tcf(c_10797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10623,c_4987]) ).
tcf(c_10803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10622,c_49]) ).
tcf(c_10809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10621,c_49]) ).
tcf(c_10815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10620,c_49]) ).
tcf(c_10821,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10619,c_49]) ).
tcf(c_10827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10618,c_118]) ).
tcf(c_10833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10617,c_117]) ).
tcf(c_10839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10616,c_116]) ).
tcf(c_10845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10615,c_50]) ).
tcf(c_10851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( sdtmndt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10614,c_4987]) ).
tcf(c_10857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10613,c_49]) ).
tcf(c_10863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ sdtlseqdt0(X0,sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10612,c_50]) ).
tcf(c_10869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10611,c_4987]) ).
tcf(c_10875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10610,c_49]) ).
tcf(c_10881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(X0,sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10609,c_49]) ).
tcf(c_10887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(X0,sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10608,c_49]) ).
tcf(c_10893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(X0,sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10607,c_49]) ).
tcf(c_10899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ sdtlseqdt0(X0,sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10606,c_49]) ).
tcf(c_10905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(X0,sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10605,c_118]) ).
tcf(c_10911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10604,c_117]) ).
tcf(c_10917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10603,c_116]) ).
tcf(c_10923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ sdtlseqdt0(X0,sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10602,c_50]) ).
tcf(c_10929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ sdtlseqdt0(X0,sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10601,c_4987]) ).
tcf(c_10935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( sK0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ sdtlseqdt0(X0,sK0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10600,c_118]) ).
tcf(c_10941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(X0,sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10583,c_49]) ).
tcf(c_10947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10582,c_49]) ).
tcf(c_10953,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ sdtlseqdt0(sdtmndt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10579,c_50]) ).
tcf(c_10959,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(sdtmndt0(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10578,c_4987]) ).
tcf(c_10965,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(sdtmndt0(xr,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10577,c_49]) ).
tcf(c_10971,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(sdtmndt0(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10576,c_49]) ).
tcf(c_10977,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(sdtmndt0(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10575,c_49]) ).
tcf(c_10983,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz10,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10574,c_49]) ).
tcf(c_10989,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(sdtmndt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10573,c_118]) ).
tcf(c_10995,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(sdtmndt0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10572,c_117]) ).
tcf(c_11001,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sdtmndt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ sdtlseqdt0(sdtmndt0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10571,c_116]) ).
tcf(c_11007,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ sdtlseqdt0(sdtmndt0(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10570,c_50]) ).
tcf(c_11013,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( sdtmndt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ~ sdtlseqdt0(sdtmndt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10569,c_4987]) ).
tcf(c_11019,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(sdtmndt0(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10568,c_49]) ).
tcf(c_11025,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ sdtlseqdt0(sK0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10567,c_50]) ).
tcf(c_11031,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(sK0(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10566,c_4987]) ).
tcf(c_11037,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(sK0(sz00,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10565,c_49]) ).
tcf(c_11043,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(sK0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10564,c_49]) ).
tcf(c_11049,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(sK0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10563,c_49]) ).
tcf(c_11055,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(sK0(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10562,c_49]) ).
tcf(c_11061,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ sdtlseqdt0(sK0(sz00,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10561,c_49]) ).
tcf(c_11067,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10560,c_118]) ).
tcf(c_11073,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10559,c_117]) ).
tcf(c_11079,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10558,c_116]) ).
tcf(c_11085,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ sdtlseqdt0(sK0(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10557,c_50]) ).
tcf(c_11091,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ sdtlseqdt0(sK0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10556,c_4987]) ).
tcf(c_11097,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( sK0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ sdtlseqdt0(sK0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10555,c_118]) ).
tcf(c_11103,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(sK0(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10538,c_49]) ).
tcf(c_11109,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10537,c_49]) ).
tcf(c_11115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10599,c_49,c_5540]) ).
tcf(c_11120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10598,c_50,c_5540]) ).
tcf(c_11125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10554,c_49,c_5540]) ).
tcf(c_11130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10553,c_50,c_5540]) ).
tcf(c_11681,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4623,c_87]) ).
tcf(c_11682,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sdtmndt0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6266,c_87]) ).
tcf(c_11683,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6079,c_87]) ).
tcf(c_11684,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4624,c_87]) ).
tcf(c_11685,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_4625,c_87]) ).
tcf(c_11686,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_4626,c_87]) ).
tcf(c_11687,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4627,c_87]) ).
tcf(c_11688,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4633,c_87]) ).
tcf(c_11689,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4634,c_87]) ).
tcf(c_11690,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4635,c_87]) ).
tcf(c_11691,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4636,c_87]) ).
tcf(c_11692,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5122,c_87]) ).
tcf(c_11693,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5123,c_87]) ).
tcf(c_11694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_5434,c_87]) ).
tcf(c_11695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_5435,c_87]) ).
tcf(c_11696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_5436,c_87]) ).
tcf(c_11697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sz10))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5437,c_87]) ).
tcf(c_11698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(X0,sz10))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_5542,c_87]) ).
tcf(c_11699,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5551,c_87]) ).
tcf(c_11700,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xp,xn)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xn)) ),
inference(superposition,[status(thm)],[c_6089,c_87]) ).
tcf(c_11701,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xr,xn)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6088,c_87]) ).
tcf(c_11702,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6078,c_87]) ).
tcf(c_11703,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6077,c_87]) ).
tcf(c_11704,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6076,c_87]) ).
tcf(c_11705,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6075,c_87]) ).
tcf(c_11706,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6087,c_87]) ).
tcf(c_11707,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6086,c_87]) ).
tcf(c_11708,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6085,c_87]) ).
tcf(c_11709,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6084,c_87]) ).
tcf(c_11710,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6083,c_87]) ).
tcf(c_11711,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6074,c_87]) ).
tcf(c_11712,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6082,c_87]) ).
tcf(c_11713,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6271,c_87]) ).
tcf(c_11714,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6275,c_87]) ).
tcf(c_11715,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sdtmndt0(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6265,c_87]) ).
tcf(c_11716,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6264,c_87]) ).
tcf(c_11717,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6263,c_87]) ).
tcf(c_11718,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6262,c_87]) ).
tcf(c_11719,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sdtmndt0(sz10,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6274,c_87]) ).
tcf(c_11720,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6273,c_87]) ).
tcf(c_11721,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6272,c_87]) ).
tcf(c_11722,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6270,c_87]) ).
tcf(c_11723,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6261,c_87]) ).
tcf(c_11724,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_6269,c_87]) ).
tcf(c_11725,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_6277,c_87]) ).
tcf(c_11726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4623,c_87]) ).
tcf(c_11727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6266,c_87]) ).
tcf(c_11728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6079,c_87]) ).
tcf(c_11729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4624,c_87]) ).
tcf(c_11730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_4625,c_87]) ).
tcf(c_11731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_4626,c_87]) ).
tcf(c_11732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_4627,c_87]) ).
tcf(c_11733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4633,c_87]) ).
tcf(c_11734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4634,c_87]) ).
tcf(c_11735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4635,c_87]) ).
tcf(c_11736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4636,c_87]) ).
tcf(c_11737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5122,c_87]) ).
tcf(c_11738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5123,c_87]) ).
tcf(c_11739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_5434,c_87]) ).
tcf(c_11740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_5435,c_87]) ).
tcf(c_11741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_5436,c_87]) ).
tcf(c_11742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5437,c_87]) ).
tcf(c_11743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5542,c_87]) ).
tcf(c_11744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5551,c_87]) ).
tcf(c_11745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xn)),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xn)) ),
inference(superposition,[status(thm)],[c_6089,c_87]) ).
tcf(c_11746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xn)),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6088,c_87]) ).
tcf(c_11747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6078,c_87]) ).
tcf(c_11748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6077,c_87]) ).
tcf(c_11749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6076,c_87]) ).
tcf(c_11750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6075,c_87]) ).
tcf(c_11751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6087,c_87]) ).
tcf(c_11752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6086,c_87]) ).
tcf(c_11753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6085,c_87]) ).
tcf(c_11754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6084,c_87]) ).
tcf(c_11755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6083,c_87]) ).
tcf(c_11756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6074,c_87]) ).
tcf(c_11757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xp)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6082,c_87]) ).
tcf(c_11758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz00)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6271,c_87]) ).
tcf(c_11759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xr)),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6275,c_87]) ).
tcf(c_11760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6265,c_87]) ).
tcf(c_11761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6264,c_87]) ).
tcf(c_11762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6263,c_87]) ).
tcf(c_11763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6262,c_87]) ).
tcf(c_11764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz10,sz00)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6274,c_87]) ).
tcf(c_11765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz00)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6273,c_87]) ).
tcf(c_11766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,sz00)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6272,c_87]) ).
tcf(c_11767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz00)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6270,c_87]) ).
tcf(c_11768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6261,c_87]) ).
tcf(c_11769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_6269,c_87]) ).
tcf(c_11770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_6277,c_87]) ).
tcf(c_11771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X3,X1),X2)
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X0)
| ~ aNaturalNumber0(sdtpldt0(X3,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_87,c_81]) ).
tcf(c_11772,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_87,c_80]) ).
tcf(c_11773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X2,X1),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_87,c_78]) ).
tcf(c_11774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtpldt0(X2,X1))) = sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_87,c_75]) ).
tcf(c_11775,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_87,c_94]) ).
tcf(c_11776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11726,c_49]) ).
tcf(c_11781,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11681,c_49]) ).
tcf(c_11786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11770,c_4987,c_118]) ).
tcf(c_11791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11738,c_4987,c_49]) ).
tcf(c_11796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11737,c_4987,c_49]) ).
tcf(c_11801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11736,c_118,c_49]) ).
tcf(c_11806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11735,c_117,c_49]) ).
tcf(c_11811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11734,c_116,c_49]) ).
tcf(c_11816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11733,c_50,c_49]) ).
tcf(c_11821,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11732,c_118,c_49]) ).
tcf(c_11826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11731,c_117,c_49]) ).
tcf(c_11831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11730,c_116,c_49]) ).
tcf(c_11836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11729,c_50,c_49]) ).
tcf(c_11841,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11725,c_4987,c_118]) ).
tcf(c_11846,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11693,c_4987,c_49]) ).
tcf(c_11851,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11692,c_4987,c_49]) ).
tcf(c_11856,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11691,c_118,c_49]) ).
tcf(c_11861,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11690,c_117,c_49]) ).
tcf(c_11866,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11689,c_116,c_49]) ).
tcf(c_11871,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11688,c_50,c_49]) ).
tcf(c_11876,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11687,c_118,c_49]) ).
tcf(c_11881,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11686,c_117,c_49]) ).
tcf(c_11886,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11685,c_116,c_49]) ).
tcf(c_11891,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11684,c_50,c_49]) ).
tcf(c_11896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11742,c_4987,c_50]) ).
tcf(c_11901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11741,c_118,c_50]) ).
tcf(c_11906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11740,c_117,c_50]) ).
tcf(c_11911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11739,c_116,c_50]) ).
tcf(c_11916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sz10))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11697,c_4987,c_50]) ).
tcf(c_11921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11696,c_118,c_50]) ).
tcf(c_11926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11695,c_117,c_50]) ).
tcf(c_11931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11694,c_116,c_50]) ).
tcf(c_11936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11769,c_50]) ).
tcf(c_11942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11768,c_4987]) ).
tcf(c_11948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz00)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11767,c_49]) ).
tcf(c_11954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,sz00)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11766,c_49]) ).
tcf(c_11960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz00)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11765,c_49]) ).
tcf(c_11966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz10,sz00)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11764,c_49]) ).
tcf(c_11972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11763,c_118]) ).
tcf(c_11978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11762,c_117]) ).
tcf(c_11984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11761,c_116]) ).
tcf(c_11990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11760,c_50]) ).
tcf(c_11996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xr)),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11759,c_4987]) ).
tcf(c_12002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz00)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11758,c_49]) ).
tcf(c_12008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xp)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11757,c_50]) ).
tcf(c_12014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11756,c_4987]) ).
tcf(c_12020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11755,c_49]) ).
tcf(c_12026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11754,c_49]) ).
tcf(c_12032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11753,c_49]) ).
tcf(c_12038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11752,c_49]) ).
tcf(c_12044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11751,c_49]) ).
tcf(c_12050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11750,c_118]) ).
tcf(c_12056,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11749,c_117]) ).
tcf(c_12062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11748,c_116]) ).
tcf(c_12068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11747,c_50]) ).
tcf(c_12074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xn)),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11746,c_4987]) ).
tcf(c_12080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xn)),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11745,c_118]) ).
tcf(c_12086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11728,c_49]) ).
tcf(c_12092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11727,c_49]) ).
tcf(c_12098,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11724,c_50]) ).
tcf(c_12104,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11723,c_4987]) ).
tcf(c_12110,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11722,c_49]) ).
tcf(c_12116,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11721,c_49]) ).
tcf(c_12122,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11720,c_49]) ).
tcf(c_12128,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sdtmndt0(sz10,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11719,c_49]) ).
tcf(c_12134,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11718,c_118]) ).
tcf(c_12140,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11717,c_117]) ).
tcf(c_12146,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11716,c_116]) ).
tcf(c_12152,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sdtmndt0(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11715,c_50]) ).
tcf(c_12158,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11714,c_4987]) ).
tcf(c_12164,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11713,c_49]) ).
tcf(c_12170,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11712,c_50]) ).
tcf(c_12176,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11711,c_4987]) ).
tcf(c_12182,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11710,c_49]) ).
tcf(c_12188,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11709,c_49]) ).
tcf(c_12194,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11708,c_49]) ).
tcf(c_12200,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11707,c_49]) ).
tcf(c_12206,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11706,c_49]) ).
tcf(c_12212,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11705,c_118]) ).
tcf(c_12218,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11704,c_117]) ).
tcf(c_12224,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11703,c_116]) ).
tcf(c_12230,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11702,c_50]) ).
tcf(c_12236,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xr,xn)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11701,c_4987]) ).
tcf(c_12242,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xp,xn)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11700,c_118]) ).
tcf(c_12248,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11683,c_49]) ).
tcf(c_12254,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sdtmndt0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11682,c_49]) ).
tcf(c_12260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11744,c_49,c_5540]) ).
tcf(c_12265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11699,c_49,c_5540]) ).
tcf(c_12270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11743,c_50,c_5540]) ).
tcf(c_12275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(X0,sz10))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11698,c_50,c_5540]) ).
tcf(c_12614,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4650,c_68]) ).
tcf(c_12617,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_4642,c_68]) ).
tcf(c_12618,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4643,c_68]) ).
tcf(c_12619,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4644,c_68]) ).
tcf(c_12620,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4645,c_68]) ).
tcf(c_12621,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4652,c_68]) ).
tcf(c_12622,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4653,c_68]) ).
tcf(c_12623,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4654,c_68]) ).
tcf(c_12624,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4661,c_68]) ).
tcf(c_12625,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4662,c_68]) ).
tcf(c_12626,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4663,c_68]) ).
tcf(c_12630,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5119,c_68]) ).
tcf(c_12632,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_5120,c_68]) ).
tcf(c_12633,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_5121,c_68]) ).
tcf(c_12635,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5525,c_68]) ).
tcf(c_12637,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5548,c_68]) ).
tcf(c_12638,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5549,c_68]) ).
tcf(c_12639,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5550,c_68]) ).
tcf(c_12641,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(sdtpldt0(sz10,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5756,c_68]) ).
tcf(c_12643,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(sdtpldt0(sz10,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5785,c_68]) ).
tcf(c_12644,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_6521,c_68]) ).
tcf(c_12645,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6520,c_68]) ).
tcf(c_12646,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6519,c_68]) ).
tcf(c_12647,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6518,c_68]) ).
tcf(c_12648,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6527,c_68]) ).
tcf(c_12649,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6526,c_68]) ).
tcf(c_12650,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6525,c_68]) ).
tcf(c_12651,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6524,c_68]) ).
tcf(c_12652,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6523,c_68]) ).
tcf(c_12653,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6517,c_68]) ).
tcf(c_12655,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12617,c_51,c_50]) ).
tcf(c_12659,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12633,c_4987,c_50]) ).
tcf(c_12664,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12632,c_51,c_4987,c_50]) ).
tcf(c_12668,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12630,c_4987,c_49]) ).
tcf(c_12673,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12626,c_118,c_49]) ).
tcf(c_12678,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12625,c_117,c_49]) ).
tcf(c_12683,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12624,c_116,c_49]) ).
tcf(c_12688,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12623,c_51,c_118,c_50]) ).
tcf(c_12692,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12622,c_51,c_117,c_50]) ).
tcf(c_12696,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12621,c_51,c_116,c_50]) ).
tcf(c_12700,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12620,c_118,c_50]) ).
tcf(c_12705,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12619,c_117,c_50]) ).
tcf(c_12710,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12618,c_116,c_50]) ).
tcf(c_12715,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12614,c_51,c_50,c_49]) ).
tcf(c_12719,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12653,c_4987]) ).
tcf(c_12725,plain,
! [X0: $i] :
( ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12652,c_51,c_50]) ).
tcf(c_12730,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12651,c_4987]) ).
tcf(c_12736,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12650,c_117]) ).
tcf(c_12742,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12649,c_116]) ).
tcf(c_12748,plain,
! [X0: $i] :
( ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12648,c_51,c_50]) ).
tcf(c_12753,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12647,c_118]) ).
tcf(c_12759,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12646,c_117]) ).
tcf(c_12765,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12645,c_116]) ).
tcf(c_12771,plain,
! [X0: $i] :
( ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12644,c_51,c_50]) ).
tcf(c_12776,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12643,c_5778,c_49,c_5773]) ).
tcf(c_12780,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12641,c_5747,c_49,c_5563]) ).
tcf(c_12784,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12638,c_51,c_50,c_5540]) ).
tcf(c_12788,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12637,c_5748,c_49,c_5540]) ).
tcf(c_12792,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12635,c_5749,c_49,c_5517]) ).
tcf(c_12796,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12639,c_5748,c_50,c_5540]) ).
tcf(c_13057,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(superposition,[status(thm)],[c_4641,c_69]) ).
tcf(c_13058,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ( sdtasdt0(X0,sK1(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6522,c_69]) ).
tcf(c_13059,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_4642,c_69]) ).
tcf(c_13060,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(superposition,[status(thm)],[c_4643,c_69]) ).
tcf(c_13061,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(superposition,[status(thm)],[c_4644,c_69]) ).
tcf(c_13062,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(superposition,[status(thm)],[c_4645,c_69]) ).
tcf(c_13063,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_4652,c_69]) ).
tcf(c_13064,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_4653,c_69]) ).
tcf(c_13065,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_4654,c_69]) ).
tcf(c_13069,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_4670,c_69]) ).
tcf(c_13070,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_4671,c_69]) ).
tcf(c_13071,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_4672,c_69]) ).
tcf(c_13073,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_5118,c_69]) ).
tcf(c_13074,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_5120,c_69]) ).
tcf(c_13075,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xr ) ),
inference(superposition,[status(thm)],[c_5121,c_69]) ).
tcf(c_13076,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(X0,sdtpldt0(sz10,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5524,c_69]) ).
tcf(c_13078,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5547,c_69]) ).
tcf(c_13080,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5549,c_69]) ).
tcf(c_13081,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5550,c_69]) ).
tcf(c_13082,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(X0,sdtpldt0(sz10,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5755,c_69]) ).
tcf(c_13084,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(X0,sdtpldt0(sz10,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5784,c_69]) ).
tcf(c_13086,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ( sdtasdt0(X0,sK1(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_6521,c_69]) ).
tcf(c_13087,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ( sdtasdt0(X0,sK1(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6520,c_69]) ).
tcf(c_13088,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ( sdtasdt0(X0,sK1(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6519,c_69]) ).
tcf(c_13089,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ( sdtasdt0(X0,sK1(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6518,c_69]) ).
tcf(c_13090,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sdtasdt0(X0,sK1(sz10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6527,c_69]) ).
tcf(c_13091,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(X0,sK1(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6526,c_69]) ).
tcf(c_13092,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(X0,sK1(xm,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6525,c_69]) ).
tcf(c_13093,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(X0,sK1(xr,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6524,c_69]) ).
tcf(c_13094,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sdtasdt0(X0,sK1(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6523,c_69]) ).
tcf(c_13095,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ( sdtasdt0(X0,sK1(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6517,c_69]) ).
tcf(c_13097,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13059,c_51,c_50]) ).
tcf(c_13101,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13075,c_51,c_4987,c_50]) ).
tcf(c_13105,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13074,c_4987,c_50]) ).
tcf(c_13110,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13073,c_4987,c_49]) ).
tcf(c_13115,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13071,c_118,c_49]) ).
tcf(c_13120,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13070,c_117,c_49]) ).
tcf(c_13125,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13069,c_116,c_49]) ).
tcf(c_13130,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13065,c_118,c_50]) ).
tcf(c_13135,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13064,c_117,c_50]) ).
tcf(c_13140,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13063,c_116,c_50]) ).
tcf(c_13145,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13062,c_51,c_118,c_50]) ).
tcf(c_13149,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13061,c_51,c_117,c_50]) ).
tcf(c_13153,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13060,c_51,c_116,c_50]) ).
tcf(c_13157,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13057,c_51,c_50,c_49]) ).
tcf(c_13161,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ( sdtasdt0(X0,sK1(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13095,c_4987]) ).
tcf(c_13167,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sdtasdt0(X0,sK1(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13094,c_50]) ).
tcf(c_13173,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(X0,sK1(xr,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13093,c_4987]) ).
tcf(c_13179,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(X0,sK1(xm,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13092,c_117]) ).
tcf(c_13185,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(X0,sK1(xn,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13091,c_116]) ).
tcf(c_13191,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sdtasdt0(X0,sK1(sz10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13090,c_50]) ).
tcf(c_13197,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ( sdtasdt0(X0,sK1(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13089,c_118]) ).
tcf(c_13203,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ( sdtasdt0(X0,sK1(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13088,c_117]) ).
tcf(c_13209,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ( sdtasdt0(X0,sK1(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13087,c_116]) ).
tcf(c_13215,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ( sdtasdt0(X0,sK1(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13086,c_50]) ).
tcf(c_13221,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13084,c_5778,c_49,c_5773]) ).
tcf(c_13225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13082,c_5747,c_49,c_5563]) ).
tcf(c_13229,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13081,c_51,c_50,c_5540]) ).
tcf(c_13233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13078,c_5748,c_49,c_5540]) ).
tcf(c_13237,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13076,c_5749,c_49,c_5517]) ).
tcf(c_13241,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ( sdtasdt0(X0,sK1(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13058,c_49]) ).
tcf(c_13247,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13080,c_5748,c_50,c_5540]) ).
tcf(c_13339,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_6528,c_72]) ).
tcf(c_13342,plain,
( sdtlseqdt0(sz10,xm)
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6528,c_93]) ).
tcf(c_13343,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6528,c_68]) ).
tcf(c_13344,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sdtasdt0(X0,sK1(sz10,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6528,c_69]) ).
tcf(c_13345,plain,
( sdtlseqdt0(sz10,xm)
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13342,c_50]) ).
tcf(c_13349,plain,
( ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sz00 != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13339,c_51,c_50]) ).
tcf(c_13353,plain,
! [X0: $i] :
( ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13343,c_51,c_50]) ).
tcf(c_13358,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sdtasdt0(X0,sK1(sz10,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13344,c_50]) ).
tcf(c_13400,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_6529,c_72]) ).
tcf(c_13403,plain,
( sdtlseqdt0(sz10,xn)
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6529,c_93]) ).
tcf(c_13404,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6529,c_68]) ).
tcf(c_13405,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sdtasdt0(X0,sK1(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6529,c_69]) ).
tcf(c_13406,plain,
( sdtlseqdt0(sz10,xn)
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13403,c_50]) ).
tcf(c_13410,plain,
( ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13400,c_51,c_50]) ).
tcf(c_13414,plain,
! [X0: $i] :
( ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13404,c_51,c_50]) ).
tcf(c_13419,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sdtasdt0(X0,sK1(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13405,c_50]) ).
tcf(c_13528,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6530,c_72]) ).
tcf(c_13531,plain,
( sdtlseqdt0(sz10,sz00)
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6530,c_93]) ).
tcf(c_13532,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6530,c_68]) ).
tcf(c_13533,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ( sdtasdt0(X0,sK1(sz10,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6530,c_69]) ).
tcf(c_13534,plain,
( ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13531,c_6420,c_50]) ).
tcf(c_13538,plain,
! [X0: $i] :
( ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13532,c_51,c_50]) ).
tcf(c_13543,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ( sdtasdt0(X0,sK1(sz10,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13533,c_50]) ).
tcf(c_13551,plain,
( ( sz00 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6531,c_72]) ).
tcf(c_13554,plain,
( sdtlseqdt0(xp,sz00)
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6531,c_93]) ).
tcf(c_13555,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6531,c_68]) ).
tcf(c_13556,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(X0,sK1(xp,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6531,c_69]) ).
tcf(c_13557,plain,
( ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13554,c_9263,c_118]) ).
tcf(c_13561,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13555,c_118]) ).
tcf(c_13567,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(X0,sK1(xp,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13556,c_118]) ).
tcf(c_13579,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_8990,c_68]) ).
tcf(c_13580,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_8990,c_69]) ).
tcf(c_13581,plain,
! [X0: $i] :
( ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13579,c_51,c_50]) ).
tcf(c_13586,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13580,c_50]) ).
tcf(c_13596,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_8991,c_72]) ).
tcf(c_13599,plain,
( sdtlseqdt0(sz10,xr)
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_8991,c_93]) ).
tcf(c_13600,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_8991,c_68]) ).
tcf(c_13601,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) != xr ) ),
inference(superposition,[status(thm)],[c_8991,c_69]) ).
tcf(c_13602,plain,
( sdtlseqdt0(sz10,xr)
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13599,c_50]) ).
tcf(c_13606,plain,
( ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13596,c_51,c_50]) ).
tcf(c_13610,plain,
! [X0: $i] :
( ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13600,c_51,c_50]) ).
tcf(c_13615,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13601,c_50]) ).
tcf(c_13625,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sz00 != xp ) ),
inference(superposition,[status(thm)],[c_9001,c_72]) ).
tcf(c_13629,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_9001,c_68]) ).
tcf(c_13630,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) != xp ) ),
inference(superposition,[status(thm)],[c_9001,c_69]) ).
tcf(c_13631,plain,
( ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sz00 != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13625,c_51,c_50]) ).
tcf(c_13635,plain,
! [X0: $i] :
( ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13629,c_51,c_50]) ).
tcf(c_13640,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13630,c_50]) ).
tcf(c_13650,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_9002,c_72]) ).
tcf(c_13653,plain,
( sdtlseqdt0(sz10,xm)
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9002,c_93]) ).
tcf(c_13654,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_9002,c_68]) ).
tcf(c_13655,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) != xm ) ),
inference(superposition,[status(thm)],[c_9002,c_69]) ).
tcf(c_13656,plain,
( sdtlseqdt0(sz10,xm)
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13653,c_50]) ).
tcf(c_13660,plain,
( ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sz00 != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13650,c_51,c_50]) ).
tcf(c_13664,plain,
! [X0: $i] :
( ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13654,c_51,c_50]) ).
tcf(c_13669,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13655,c_50]) ).
tcf(c_13679,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_9003,c_72]) ).
tcf(c_13682,plain,
( sdtlseqdt0(sz10,xn)
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9003,c_93]) ).
tcf(c_13683,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_9003,c_68]) ).
tcf(c_13684,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) != xn ) ),
inference(superposition,[status(thm)],[c_9003,c_69]) ).
tcf(c_13685,plain,
( sdtlseqdt0(sz10,xn)
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13682,c_50]) ).
tcf(c_13689,plain,
( ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sz00 != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13679,c_51,c_50]) ).
tcf(c_13693,plain,
! [X0: $i] :
( ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13683,c_51,c_50]) ).
tcf(c_13698,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13684,c_50]) ).
tcf(c_13708,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9004,c_72]) ).
tcf(c_13711,plain,
( sdtlseqdt0(sz10,sz00)
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9004,c_93]) ).
tcf(c_13712,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9004,c_68]) ).
tcf(c_13713,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9004,c_69]) ).
tcf(c_13714,plain,
( ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13711,c_6420,c_50]) ).
tcf(c_13718,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13712,c_51,c_50]) ).
tcf(c_13723,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13713,c_50]) ).
tcf(c_13754,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0) ),
inference(superposition,[status(thm)],[c_6214,c_81]) ).
tcf(c_13755,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6214,c_80]) ).
tcf(c_13756,plain,
( ( sdtpldt0(sdtpldt0(sz10,xm),sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_6214,c_78]) ).
tcf(c_13757,plain,
( ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(sz10,xm)))) = sdtpldt0(sz10,sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_6214,c_75]) ).
tcf(c_13758,plain,
( iLess0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_6214,c_94]) ).
tcf(c_13759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13754,c_5540,c_6213]) ).
tcf(c_13763,plain,
( iLess0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13758,c_5540,c_6213]) ).
tcf(c_13766,plain,
sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtpldt0(sz10,sdtpldt0(sz10,xm)))) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_13757,c_5540,c_6213]) ).
tcf(c_13767,plain,
sdtpldt0(sdtpldt0(sz10,xm),sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_13756,c_5540,c_6213]) ).
tcf(c_13768,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm) )
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13755,c_5540,c_6213]) ).
tcf(c_13795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5552,c_87]) ).
tcf(c_13796,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5552,c_103]) ).
tcf(c_13798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_5552,c_87]) ).
tcf(c_13799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5552,c_66]) ).
tcf(c_13800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5552,c_85]) ).
tcf(c_13801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5552,c_85]) ).
tcf(c_13802,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_5552,c_67]) ).
tcf(c_13803,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13796,c_49,c_5540]) ).
tcf(c_13807,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13802,c_49,c_5540]) ).
tcf(c_13811,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13799,c_49,c_5540]) ).
tcf(c_13815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13801,c_49,c_5540]) ).
tcf(c_13820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13800,c_49,c_5540]) ).
tcf(c_13825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13798,c_49,c_5540]) ).
tcf(c_13830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13795,c_49,c_5540]) ).
tcf(c_13850,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4650,c_89]) ).
tcf(c_13853,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4642,c_89]) ).
tcf(c_13854,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4643,c_89]) ).
tcf(c_13855,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4644,c_89]) ).
tcf(c_13856,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4645,c_89]) ).
tcf(c_13857,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_4652,c_89]) ).
tcf(c_13858,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_4653,c_89]) ).
tcf(c_13859,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4654,c_89]) ).
tcf(c_13860,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4661,c_89]) ).
tcf(c_13861,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4662,c_89]) ).
tcf(c_13862,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4663,c_89]) ).
tcf(c_13866,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5119,c_89]) ).
tcf(c_13868,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5120,c_89]) ).
tcf(c_13869,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5121,c_89]) ).
tcf(c_13871,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5525,c_89]) ).
tcf(c_13873,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5548,c_89]) ).
tcf(c_13874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_5549,c_89]) ).
tcf(c_13875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5550,c_89]) ).
tcf(c_13877,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5756,c_89]) ).
tcf(c_13879,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5785,c_89]) ).
tcf(c_13880,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_6531,c_89]) ).
tcf(c_13881,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ sdtlseqdt0(sK1(sz10,sz00),X0) ),
inference(superposition,[status(thm)],[c_6530,c_89]) ).
tcf(c_13882,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ sdtlseqdt0(sK1(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_6521,c_89]) ).
tcf(c_13883,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ sdtlseqdt0(sK1(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_6520,c_89]) ).
tcf(c_13884,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ sdtlseqdt0(sK1(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_6519,c_89]) ).
tcf(c_13885,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ~ sdtlseqdt0(sK1(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_6518,c_89]) ).
tcf(c_13886,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ sdtlseqdt0(sK1(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_6529,c_89]) ).
tcf(c_13887,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ sdtlseqdt0(sK1(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_6528,c_89]) ).
tcf(c_13888,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ~ sdtlseqdt0(sK1(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_6527,c_89]) ).
tcf(c_13889,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_6526,c_89]) ).
tcf(c_13890,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_6525,c_89]) ).
tcf(c_13891,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(sK1(xr,sz00),X0) ),
inference(superposition,[status(thm)],[c_6524,c_89]) ).
tcf(c_13892,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ sdtlseqdt0(sK1(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_6523,c_89]) ).
tcf(c_13893,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ sdtlseqdt0(sK1(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_6517,c_89]) ).
tcf(c_13894,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz00,sz10),X0) ),
inference(superposition,[status(thm)],[c_9004,c_89]) ).
tcf(c_13895,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_8990,c_89]) ).
tcf(c_13896,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_9003,c_89]) ).
tcf(c_13897,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(sdtsldt0(xm,sz10),X0) ),
inference(superposition,[status(thm)],[c_9002,c_89]) ).
tcf(c_13898,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(sdtsldt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_9001,c_89]) ).
tcf(c_13899,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(sdtsldt0(xr,sz10),X0) ),
inference(superposition,[status(thm)],[c_8991,c_89]) ).
tcf(c_13901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4650,c_89]) ).
tcf(c_13904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4642,c_89]) ).
tcf(c_13905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4643,c_89]) ).
tcf(c_13906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4644,c_89]) ).
tcf(c_13907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4645,c_89]) ).
tcf(c_13908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_4652,c_89]) ).
tcf(c_13909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_4653,c_89]) ).
tcf(c_13910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_4654,c_89]) ).
tcf(c_13911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4661,c_89]) ).
tcf(c_13912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4662,c_89]) ).
tcf(c_13913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4663,c_89]) ).
tcf(c_13917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5119,c_89]) ).
tcf(c_13919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5120,c_89]) ).
tcf(c_13920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5121,c_89]) ).
tcf(c_13922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5525,c_89]) ).
tcf(c_13924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5548,c_89]) ).
tcf(c_13925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5549,c_89]) ).
tcf(c_13926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5550,c_89]) ).
tcf(c_13928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5756,c_89]) ).
tcf(c_13930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5785,c_89]) ).
tcf(c_13931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6531,c_89]) ).
tcf(c_13932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ sdtlseqdt0(X0,sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6530,c_89]) ).
tcf(c_13933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ sdtlseqdt0(X0,sK1(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6521,c_89]) ).
tcf(c_13934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( sz00 = xn )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ sdtlseqdt0(X0,sK1(xn,xn)) ),
inference(superposition,[status(thm)],[c_6520,c_89]) ).
tcf(c_13935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( sz00 = xm )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ sdtlseqdt0(X0,sK1(xm,xm)) ),
inference(superposition,[status(thm)],[c_6519,c_89]) ).
tcf(c_13936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( sz00 = xp )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ~ sdtlseqdt0(X0,sK1(xp,xp)) ),
inference(superposition,[status(thm)],[c_6518,c_89]) ).
tcf(c_13937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ sdtlseqdt0(X0,sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6529,c_89]) ).
tcf(c_13938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ sdtlseqdt0(X0,sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6528,c_89]) ).
tcf(c_13939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ~ sdtlseqdt0(X0,sK1(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6527,c_89]) ).
tcf(c_13940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( sz00 = xn )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6526,c_89]) ).
tcf(c_13941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( sz00 = xm )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6525,c_89]) ).
tcf(c_13942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(X0,sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6524,c_89]) ).
tcf(c_13943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6523,c_89]) ).
tcf(c_13944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ sdtlseqdt0(X0,sK1(xr,xr)) ),
inference(superposition,[status(thm)],[c_6517,c_89]) ).
tcf(c_13945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9004,c_89]) ).
tcf(c_13946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_8990,c_89]) ).
tcf(c_13947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9003,c_89]) ).
tcf(c_13948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9002,c_89]) ).
tcf(c_13949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_9001,c_89]) ).
tcf(c_13950,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_8991,c_89]) ).
tcf(c_13951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X3),X2)
| ( X1 = X3 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X3))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_89,c_81]) ).
tcf(c_13952,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_89,c_80]) ).
tcf(c_13953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X2),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_89,c_78]) ).
tcf(c_13954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_89,c_75]) ).
tcf(c_13955,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_89,c_94]) ).
tcf(c_13956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13904,c_51,c_50]) ).
tcf(c_13961,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13853,c_51,c_50]) ).
tcf(c_13966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13920,c_4987,c_50]) ).
tcf(c_13972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13919,c_51,c_4987,c_50]) ).
tcf(c_13977,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13917,c_4987,c_49]) ).
tcf(c_13983,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13913,c_118,c_49]) ).
tcf(c_13989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13912,c_117,c_49]) ).
tcf(c_13995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13911,c_116,c_49]) ).
tcf(c_14001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13910,c_51,c_118,c_50]) ).
tcf(c_14006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13909,c_51,c_117,c_50]) ).
tcf(c_14011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13908,c_51,c_116,c_50]) ).
tcf(c_14016,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13907,c_118,c_50]) ).
tcf(c_14022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13906,c_117,c_50]) ).
tcf(c_14028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13905,c_116,c_50]) ).
tcf(c_14034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13901,c_51,c_50,c_49]) ).
tcf(c_14039,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13869,c_4987,c_50]) ).
tcf(c_14045,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13868,c_51,c_4987,c_50]) ).
tcf(c_14050,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13866,c_4987,c_49]) ).
tcf(c_14056,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13862,c_118,c_49]) ).
tcf(c_14062,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13861,c_117,c_49]) ).
tcf(c_14068,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13860,c_116,c_49]) ).
tcf(c_14074,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13859,c_51,c_118,c_50]) ).
tcf(c_14079,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13858,c_51,c_117,c_50]) ).
tcf(c_14084,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13857,c_51,c_116,c_50]) ).
tcf(c_14089,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13856,c_118,c_50]) ).
tcf(c_14095,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13855,c_117,c_50]) ).
tcf(c_14101,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13854,c_116,c_50]) ).
tcf(c_14107,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13850,c_51,c_50,c_49]) ).
tcf(c_14112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13950,c_51,c_50]) ).
tcf(c_14118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13949,c_51,c_50]) ).
tcf(c_14124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13948,c_51,c_50]) ).
tcf(c_14130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13947,c_51,c_50]) ).
tcf(c_14136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13946,c_51,c_50]) ).
tcf(c_14142,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13945,c_51,c_50]) ).
tcf(c_14148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ sdtlseqdt0(X0,sK1(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13944,c_4987]) ).
tcf(c_14155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13943,c_51,c_50]) ).
tcf(c_14161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(X0,sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13942,c_4987]) ).
tcf(c_14168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( sz00 = xm )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13941,c_117]) ).
tcf(c_14175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( sz00 = xn )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13940,c_116]) ).
tcf(c_14182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ~ sdtlseqdt0(X0,sK1(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13939,c_51,c_50]) ).
tcf(c_14188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ sdtlseqdt0(X0,sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13938,c_51,c_50]) ).
tcf(c_14194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ sdtlseqdt0(X0,sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13937,c_51,c_50]) ).
tcf(c_14200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( sz00 = xp )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ~ sdtlseqdt0(X0,sK1(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13936,c_118]) ).
tcf(c_14207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( sz00 = xm )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ sdtlseqdt0(X0,sK1(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13935,c_117]) ).
tcf(c_14214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( sz00 = xn )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ sdtlseqdt0(X0,sK1(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13934,c_116]) ).
tcf(c_14221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ sdtlseqdt0(X0,sK1(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13933,c_51,c_50]) ).
tcf(c_14227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ sdtlseqdt0(X0,sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13932,c_51,c_50]) ).
tcf(c_14233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13931,c_118]) ).
tcf(c_14240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13930,c_5778,c_49,c_5773]) ).
tcf(c_14245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13928,c_5747,c_49,c_5563]) ).
tcf(c_14250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13924,c_5748,c_49,c_5540]) ).
tcf(c_14255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13922,c_5749,c_49,c_5517]) ).
tcf(c_14260,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(sdtsldt0(xr,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13899,c_51,c_50]) ).
tcf(c_14266,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(sdtsldt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13898,c_51,c_50]) ).
tcf(c_14272,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(sdtsldt0(xm,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13897,c_51,c_50]) ).
tcf(c_14278,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13896,c_51,c_50]) ).
tcf(c_14284,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13895,c_51,c_50]) ).
tcf(c_14290,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz00,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13894,c_51,c_50]) ).
tcf(c_14296,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ sdtlseqdt0(sK1(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13893,c_4987]) ).
tcf(c_14303,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ sdtlseqdt0(sK1(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13892,c_51,c_50]) ).
tcf(c_14309,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(sK1(xr,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13891,c_4987]) ).
tcf(c_14316,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13890,c_117]) ).
tcf(c_14323,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13889,c_116]) ).
tcf(c_14330,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ~ sdtlseqdt0(sK1(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13888,c_51,c_50]) ).
tcf(c_14336,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ sdtlseqdt0(sK1(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13887,c_51,c_50]) ).
tcf(c_14342,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ sdtlseqdt0(sK1(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13886,c_51,c_50]) ).
tcf(c_14348,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ~ sdtlseqdt0(sK1(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13885,c_118]) ).
tcf(c_14355,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ sdtlseqdt0(sK1(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13884,c_117]) ).
tcf(c_14362,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ sdtlseqdt0(sK1(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13883,c_116]) ).
tcf(c_14369,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ sdtlseqdt0(sK1(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13882,c_51,c_50]) ).
tcf(c_14375,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ sdtlseqdt0(sK1(sz10,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13881,c_51,c_50]) ).
tcf(c_14381,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sz00 = xp )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13880,c_118]) ).
tcf(c_14388,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13879,c_5778,c_49,c_5773]) ).
tcf(c_14393,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13877,c_5747,c_49,c_5563]) ).
tcf(c_14398,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13873,c_5748,c_49,c_5540]) ).
tcf(c_14403,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13871,c_5749,c_49,c_5517]) ).
tcf(c_14408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13926,c_5748,c_50,c_5540]) ).
tcf(c_14413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13925,c_51,c_50,c_5540]) ).
tcf(c_14418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13875,c_5748,c_50,c_5540]) ).
tcf(c_14423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13874,c_51,c_50,c_5540]) ).
tcf(c_15012,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4641,c_91]) ).
tcf(c_15013,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz00,sz00)))
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6522,c_91]) ).
tcf(c_15014,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4642,c_91]) ).
tcf(c_15015,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_4643,c_91]) ).
tcf(c_15016,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_4644,c_91]) ).
tcf(c_15017,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4645,c_91]) ).
tcf(c_15018,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4652,c_91]) ).
tcf(c_15019,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4653,c_91]) ).
tcf(c_15020,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4654,c_91]) ).
tcf(c_15024,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4670,c_91]) ).
tcf(c_15025,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4671,c_91]) ).
tcf(c_15026,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4672,c_91]) ).
tcf(c_15028,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_5118,c_91]) ).
tcf(c_15029,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5120,c_91]) ).
tcf(c_15030,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5121,c_91]) ).
tcf(c_15031,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5524,c_91]) ).
tcf(c_15033,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5547,c_91]) ).
tcf(c_15035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5549,c_91]) ).
tcf(c_15036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_5550,c_91]) ).
tcf(c_15037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5755,c_91]) ).
tcf(c_15039,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5784,c_91]) ).
tcf(c_15041,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xp,sz00)))
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6531,c_91]) ).
tcf(c_15042,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz10,sz00)))
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6530,c_91]) ).
tcf(c_15043,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK1(sz10,sz10)))
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6521,c_91]) ).
tcf(c_15044,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(xn,xn)))
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,xn)) ),
inference(superposition,[status(thm)],[c_6520,c_91]) ).
tcf(c_15045,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(xm,xm)))
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,xm)) ),
inference(superposition,[status(thm)],[c_6519,c_91]) ).
tcf(c_15046,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK1(xp,xp)))
| ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,xp)) ),
inference(superposition,[status(thm)],[c_6518,c_91]) ).
tcf(c_15047,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(sz10,xn)))
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6529,c_91]) ).
tcf(c_15048,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(sz10,xm)))
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6528,c_91]) ).
tcf(c_15049,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK1(sz10,xp)))
| ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6527,c_91]) ).
tcf(c_15050,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xn,sz00)))
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6526,c_91]) ).
tcf(c_15051,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xm,sz00)))
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6525,c_91]) ).
tcf(c_15052,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xr,sz00)))
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6524,c_91]) ).
tcf(c_15053,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK1(sz10,xr)))
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6523,c_91]) ).
tcf(c_15054,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK1(xr,xr)))
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,xr)) ),
inference(superposition,[status(thm)],[c_6517,c_91]) ).
tcf(c_15055,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9004,c_91]) ).
tcf(c_15056,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sdtsldt0(sz10,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_8990,c_91]) ).
tcf(c_15057,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9003,c_91]) ).
tcf(c_15058,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9002,c_91]) ).
tcf(c_15059,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_9001,c_91]) ).
tcf(c_15060,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_8991,c_91]) ).
tcf(c_15063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4641,c_91]) ).
tcf(c_15064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6522,c_91]) ).
tcf(c_15065,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4642,c_91]) ).
tcf(c_15066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_4643,c_91]) ).
tcf(c_15067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_4644,c_91]) ).
tcf(c_15068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xp)
| ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_4645,c_91]) ).
tcf(c_15069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4652,c_91]) ).
tcf(c_15070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4653,c_91]) ).
tcf(c_15071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xp)
| ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4654,c_91]) ).
tcf(c_15075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4670,c_91]) ).
tcf(c_15076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4671,c_91]) ).
tcf(c_15077,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4672,c_91]) ).
tcf(c_15079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_5118,c_91]) ).
tcf(c_15080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5120,c_91]) ).
tcf(c_15081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xr)
| ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5121,c_91]) ).
tcf(c_15082,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5524,c_91]) ).
tcf(c_15084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5547,c_91]) ).
tcf(c_15086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5549,c_91]) ).
tcf(c_15087,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_5550,c_91]) ).
tcf(c_15088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5755,c_91]) ).
tcf(c_15090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5784,c_91]) ).
tcf(c_15092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6531,c_91]) ).
tcf(c_15093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6530,c_91]) ).
tcf(c_15094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6521,c_91]) ).
tcf(c_15095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,xn)),xn)
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,xn)) ),
inference(superposition,[status(thm)],[c_6520,c_91]) ).
tcf(c_15096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,xm)),xm)
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,xm)) ),
inference(superposition,[status(thm)],[c_6519,c_91]) ).
tcf(c_15097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,xp)),xp)
| ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,xp)) ),
inference(superposition,[status(thm)],[c_6518,c_91]) ).
tcf(c_15098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6529,c_91]) ).
tcf(c_15099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6528,c_91]) ).
tcf(c_15100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xp)),xp)
| ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6527,c_91]) ).
tcf(c_15101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6526,c_91]) ).
tcf(c_15102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6525,c_91]) ).
tcf(c_15103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6524,c_91]) ).
tcf(c_15104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xr)),xr)
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6523,c_91]) ).
tcf(c_15105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xr)),xr)
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xr)) ),
inference(superposition,[status(thm)],[c_6517,c_91]) ).
tcf(c_15106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sz10)),sz00)
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9004,c_91]) ).
tcf(c_15107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_8990,c_91]) ).
tcf(c_15108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9003,c_91]) ).
tcf(c_15109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,sz10)),xm)
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9002,c_91]) ).
tcf(c_15110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_9001,c_91]) ).
tcf(c_15111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,sz10)),xr)
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_8991,c_91]) ).
tcf(c_15112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X3,X1),X2)
| ( X1 = sz00 )
| ( X0 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X3,X0)
| ~ aNaturalNumber0(sdtasdt0(X3,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_91,c_81]) ).
tcf(c_15113,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_91,c_80]) ).
tcf(c_15114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X2,X1),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_91,c_78]) ).
tcf(c_15115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))) = sdtasdt0(X2,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_91,c_75]) ).
tcf(c_15116,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_91,c_94]) ).
tcf(c_15117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15065,c_51,c_50]) ).
tcf(c_15122,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15014,c_51,c_50]) ).
tcf(c_15127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15081,c_51,c_4987,c_50]) ).
tcf(c_15132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15080,c_4987,c_50]) ).
tcf(c_15138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15079,c_4987,c_49]) ).
tcf(c_15144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15077,c_118,c_49]) ).
tcf(c_15150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15076,c_117,c_49]) ).
tcf(c_15156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15075,c_116,c_49]) ).
tcf(c_15162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xp)
| ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15071,c_118,c_50]) ).
tcf(c_15168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15070,c_117,c_50]) ).
tcf(c_15174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15069,c_116,c_50]) ).
tcf(c_15180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15068,c_51,c_118,c_50]) ).
tcf(c_15185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15067,c_51,c_117,c_50]) ).
tcf(c_15190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15066,c_51,c_116,c_50]) ).
tcf(c_15195,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15063,c_51,c_50,c_49]) ).
tcf(c_15200,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sz10))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15030,c_51,c_4987,c_50]) ).
tcf(c_15205,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15029,c_4987,c_50]) ).
tcf(c_15211,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15028,c_4987,c_49]) ).
tcf(c_15217,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15026,c_118,c_49]) ).
tcf(c_15223,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15025,c_117,c_49]) ).
tcf(c_15229,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15024,c_116,c_49]) ).
tcf(c_15235,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15020,c_118,c_50]) ).
tcf(c_15241,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ( sz00 = xm )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15019,c_117,c_50]) ).
tcf(c_15247,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ( sz00 = xn )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15018,c_116,c_50]) ).
tcf(c_15253,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15017,c_51,c_118,c_50]) ).
tcf(c_15258,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15016,c_51,c_117,c_50]) ).
tcf(c_15263,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15015,c_51,c_116,c_50]) ).
tcf(c_15268,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15012,c_51,c_50,c_49]) ).
tcf(c_15273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,sz10)),xr)
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15111,c_50]) ).
tcf(c_15280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15110,c_50]) ).
tcf(c_15287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,sz10)),xm)
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15109,c_50]) ).
tcf(c_15294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15108,c_50]) ).
tcf(c_15301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15107,c_50]) ).
tcf(c_15308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sz10)),sz00)
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15106,c_50]) ).
tcf(c_15315,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xr)),xr)
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15105,c_4987]) ).
tcf(c_15322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xr)),xr)
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15104,c_50]) ).
tcf(c_15329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15103,c_4987]) ).
tcf(c_15336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15102,c_117]) ).
tcf(c_15343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15101,c_116]) ).
tcf(c_15350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xp)),xp)
| ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15100,c_50]) ).
tcf(c_15357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15099,c_50]) ).
tcf(c_15364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15098,c_50]) ).
tcf(c_15371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,xp)),xp)
| ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15097,c_118]) ).
tcf(c_15378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,xm)),xm)
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15096,c_117]) ).
tcf(c_15385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,xn)),xn)
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15095,c_116]) ).
tcf(c_15392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15094,c_50]) ).
tcf(c_15399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15093,c_50]) ).
tcf(c_15406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15092,c_118]) ).
tcf(c_15413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15090,c_5778,c_49,c_5773]) ).
tcf(c_15418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15088,c_5747,c_49,c_5563]) ).
tcf(c_15423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15084,c_5748,c_49,c_5540]) ).
tcf(c_15428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15082,c_5749,c_49,c_5517]) ).
tcf(c_15433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15064,c_49]) ).
tcf(c_15440,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15060,c_50]) ).
tcf(c_15447,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15059,c_50]) ).
tcf(c_15454,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15058,c_50]) ).
tcf(c_15461,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15057,c_50]) ).
tcf(c_15468,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sdtsldt0(sz10,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15056,c_50]) ).
tcf(c_15475,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15055,c_50]) ).
tcf(c_15482,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK1(xr,xr)))
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15054,c_4987]) ).
tcf(c_15489,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK1(sz10,xr)))
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15053,c_50]) ).
tcf(c_15496,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xr,sz00)))
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15052,c_4987]) ).
tcf(c_15503,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xm,sz00)))
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15051,c_117]) ).
tcf(c_15510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xn,sz00)))
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15050,c_116]) ).
tcf(c_15517,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK1(sz10,xp)))
| ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15049,c_50]) ).
tcf(c_15524,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(sz10,xm)))
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15048,c_50]) ).
tcf(c_15531,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(sz10,xn)))
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15047,c_50]) ).
tcf(c_15538,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK1(xp,xp)))
| ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15046,c_118]) ).
tcf(c_15545,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(xm,xm)))
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15045,c_117]) ).
tcf(c_15552,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(xn,xn)))
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15044,c_116]) ).
tcf(c_15559,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK1(sz10,sz10)))
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15043,c_50]) ).
tcf(c_15566,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz10,sz00)))
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15042,c_50]) ).
tcf(c_15573,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xp,sz00)))
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15041,c_118]) ).
tcf(c_15580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15039,c_5778,c_49,c_5773]) ).
tcf(c_15585,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15037,c_5747,c_49,c_5563]) ).
tcf(c_15590,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15033,c_5748,c_49,c_5540]) ).
tcf(c_15595,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15031,c_5749,c_49,c_5517]) ).
tcf(c_15600,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz00,sz00)))
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15013,c_49]) ).
tcf(c_15607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15087,c_51,c_50,c_5540]) ).
tcf(c_15612,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15086,c_5748,c_50,c_5540]) ).
tcf(c_15617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15036,c_51,c_50,c_5540]) ).
tcf(c_15622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15035,c_5748,c_50,c_5540]) ).
tcf(c_15876,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtsldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_178,c_105]) ).
tcf(c_15877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X3,sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtsldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_105]) ).
tcf(c_15878,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK2(X0) = sz00 )
| ( sdtasdt0(X1,sdtsldt0(X0,sK2(X0))) = sdtsldt0(sdtasdt0(X1,X0),sK2(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_109,c_105]) ).
tcf(c_15879,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK3(X0) = sz00 )
| ( sdtasdt0(X1,sdtsldt0(X0,sK3(X0))) = sdtsldt0(sdtasdt0(X1,X0),sK3(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_114,c_105]) ).
tcf(c_15880,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_121,c_105]) ).
tcf(c_15881,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_105]) ).
tcf(c_15883,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) = sdtsldt0(sdtasdt0(X0,sz00),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4903,c_105]) ).
tcf(c_15884,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) = sdtsldt0(sdtasdt0(X0,sz00),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4786,c_105]) ).
tcf(c_15885,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) = sdtsldt0(sdtasdt0(X0,sz10),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4778,c_105]) ).
tcf(c_15886,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(X0,sdtsldt0(xn,xn)) = sdtsldt0(sdtasdt0(X0,xn),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4784,c_105]) ).
tcf(c_15887,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) = sdtsldt0(sdtasdt0(X0,xm),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4783,c_105]) ).
tcf(c_15888,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtsldt0(sdtasdt0(X0,xp),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4782,c_105]) ).
tcf(c_15889,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) = sdtsldt0(sdtasdt0(X0,xn),sz10) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4781,c_105]) ).
tcf(c_15890,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) = sdtsldt0(sdtasdt0(X0,xm),sz10) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4780,c_105]) ).
tcf(c_15891,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) = sdtsldt0(sdtasdt0(X0,xp),sz10) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4779,c_105]) ).
tcf(c_15892,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) = sdtsldt0(sdtasdt0(X0,sz00),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4791,c_105]) ).
tcf(c_15893,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) = sdtsldt0(sdtasdt0(X0,sz00),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4794,c_105]) ).
tcf(c_15894,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) = sdtsldt0(sdtasdt0(X0,sz00),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5142,c_105]) ).
tcf(c_15895,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) = sdtsldt0(sdtasdt0(X0,xr),sz10) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5151,c_105]) ).
tcf(c_15896,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5154,c_105]) ).
tcf(c_15897,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xn))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5804,c_105]) ).
tcf(c_15898,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6204,c_105]) ).
tcf(c_15899,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6799,c_105]) ).
tcf(c_15900,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6809,c_105]) ).
tcf(c_15901,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7307,c_105]) ).
tcf(c_15902,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_7994,c_105]) ).
tcf(c_15903,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15896,c_4987]) ).
tcf(c_15907,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtsldt0(sdtasdt0(X0,xp),xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15888,c_118]) ).
tcf(c_15911,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) = sdtsldt0(sdtasdt0(X0,xm),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15887,c_117]) ).
tcf(c_15915,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(X0,sdtsldt0(xn,xn)) = sdtsldt0(sdtasdt0(X0,xn),xn) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15886,c_116]) ).
tcf(c_15919,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) = sdtsldt0(sdtasdt0(X0,sz10),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15885,c_51,c_50]) ).
tcf(c_15922,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xr,sz10)) = sdtsldt0(sdtasdt0(X0,xr),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15895,c_51,c_4987,c_50]) ).
tcf(c_15925,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) = sdtsldt0(sdtasdt0(X0,sz00),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15894,c_4987,c_49]) ).
tcf(c_15929,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) = sdtsldt0(sdtasdt0(X0,sz00),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15893,c_117,c_49]) ).
tcf(c_15933,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) = sdtsldt0(sdtasdt0(X0,sz00),xn) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15892,c_116,c_49]) ).
tcf(c_15937,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xp,sz10)) = sdtsldt0(sdtasdt0(X0,xp),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15891,c_51,c_118,c_50]) ).
tcf(c_15940,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xm,sz10)) = sdtsldt0(sdtasdt0(X0,xm),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15890,c_51,c_117,c_50]) ).
tcf(c_15943,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xn,sz10)) = sdtsldt0(sdtasdt0(X0,xn),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15889,c_51,c_116,c_50]) ).
tcf(c_15946,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) = sdtsldt0(sdtasdt0(X0,sz00),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15884,c_51,c_50,c_49]) ).
tcf(c_15949,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) = sdtsldt0(sdtasdt0(X0,sz00),xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15883,c_118,c_49]) ).
tcf(c_15953,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15901,c_51,c_50,c_5540]) ).
tcf(c_15956,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15881,c_118]) ).
tcf(c_15961,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15880,c_118]) ).
tcf(c_15966,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15900,c_5778,c_49,c_5773]) ).
tcf(c_15969,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15899,c_5747,c_49,c_5563]) ).
tcf(c_15972,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15898,c_5748,c_49,c_5540]) ).
tcf(c_15975,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xn))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15897,c_5749,c_49,c_5517]) ).
tcf(c_15978,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15902,c_5748,c_5540]) ).
tcf(c_16202,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz00))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4623,c_119]) ).
tcf(c_16203,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6266,c_119]) ).
tcf(c_16204,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6079,c_119]) ).
tcf(c_16205,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,sz00))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4624,c_119]) ).
tcf(c_16206,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sz00))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4625,c_119]) ).
tcf(c_16207,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz00))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4626,c_119]) ).
tcf(c_16208,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sz00))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4627,c_119]) ).
tcf(c_16209,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4633,c_119]) ).
tcf(c_16210,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4634,c_119]) ).
tcf(c_16211,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xm))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4635,c_119]) ).
tcf(c_16212,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xp))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4636,c_119]) ).
tcf(c_16213,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xr))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5122,c_119]) ).
tcf(c_16214,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sz00))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5123,c_119]) ).
tcf(c_16215,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5434,c_119]) ).
tcf(c_16216,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5435,c_119]) ).
tcf(c_16217,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5436,c_119]) ).
tcf(c_16218,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sz10)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5437,c_119]) ).
tcf(c_16219,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xm),sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5542,c_119]) ).
tcf(c_16220,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5552,c_119]) ).
tcf(c_16221,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5551,c_119]) ).
tcf(c_16222,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sK0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,sK0(xp,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6089,c_119]) ).
tcf(c_16223,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sK0(xr,xn))
| ~ aNaturalNumber0(xr)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xr,sK0(xr,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6088,c_119]) ).
tcf(c_16224,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6078,c_119]) ).
tcf(c_16225,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6077,c_119]) ).
tcf(c_16226,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sK0(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6076,c_119]) ).
tcf(c_16227,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sK0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6075,c_119]) ).
tcf(c_16228,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6087,c_119]) ).
tcf(c_16229,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xn))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6086,c_119]) ).
tcf(c_16230,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6085,c_119]) ).
tcf(c_16231,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xp))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6084,c_119]) ).
tcf(c_16232,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6083,c_119]) ).
tcf(c_16233,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sK0(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6074,c_119]) ).
tcf(c_16234,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6082,c_119]) ).
tcf(c_16235,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(xp,sz00))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xp,sz00)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6271,c_119]) ).
tcf(c_16236,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sdtmndt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xn,xr)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6275,c_119]) ).
tcf(c_16237,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sdtmndt0(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6265,c_119]) ).
tcf(c_16238,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtmndt0(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6264,c_119]) ).
tcf(c_16239,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sdtmndt0(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sdtmndt0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6263,c_119]) ).
tcf(c_16240,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sdtmndt0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6262,c_119]) ).
tcf(c_16241,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(sz10,sz00))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz10,sz00)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6274,c_119]) ).
tcf(c_16242,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(xn,sz00))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xn,sz00)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6273,c_119]) ).
tcf(c_16243,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(xm,sz00))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xm,sz00)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6272,c_119]) ).
tcf(c_16244,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(xr,sz00))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xr,sz00)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6270,c_119]) ).
tcf(c_16245,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sdtmndt0(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6261,c_119]) ).
tcf(c_16246,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sdtmndt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xp,sz10)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6269,c_119]) ).
tcf(c_16247,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6277,c_119]) ).
tcf(c_16249,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16247,c_4987,c_118]) ).
tcf(c_16270,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sdtmndt0(xp,sz10))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xp,sz10)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16246,c_50]) ).
tcf(c_16278,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sdtmndt0(xr,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16245,c_4987]) ).
tcf(c_16286,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(xr,sz00))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xr,sz00)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16244,c_49]) ).
tcf(c_16294,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(xm,sz00))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xm,sz00)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16243,c_49]) ).
tcf(c_16302,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(xn,sz00))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xn,sz00)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16242,c_49]) ).
tcf(c_16310,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(sz10,sz00))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz10,sz00)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16241,c_49]) ).
tcf(c_16318,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sdtmndt0(xp,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16240,c_118]) ).
tcf(c_16326,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sdtmndt0(xm,xm))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sdtmndt0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16239,c_117]) ).
tcf(c_16334,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtmndt0(xn,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16238,c_116]) ).
tcf(c_16342,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sdtmndt0(sz10,sz10))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16237,c_50]) ).
tcf(c_16350,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sdtmndt0(xn,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xn,xr)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16236,c_4987]) ).
tcf(c_16358,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(xp,sz00))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xp,sz00)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16235,c_49]) ).
tcf(c_16366,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16234,c_50]) ).
tcf(c_16374,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sK0(xr,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16233,c_4987]) ).
tcf(c_16382,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16232,c_49]) ).
tcf(c_16390,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16231,c_49]) ).
tcf(c_16398,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xm))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16230,c_49]) ).
tcf(c_16406,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16229,c_49]) ).
tcf(c_16414,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,sz10))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16228,c_49]) ).
tcf(c_16422,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sK0(xp,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16227,c_118]) ).
tcf(c_16430,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sK0(xm,xm))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16226,c_117]) ).
tcf(c_16438,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16225,c_116]) ).
tcf(c_16446,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,sz10))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16224,c_50]) ).
tcf(c_16454,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sK0(xr,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xr,sK0(xr,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16223,c_4987]) ).
tcf(c_16462,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sK0(xp,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,sK0(xp,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16222,c_118]) ).
tcf(c_16470,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,sz00))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16204,c_49]) ).
tcf(c_16478,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtmndt0(sz00,sz00))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16203,c_49]) ).
tcf(c_16489,plain,
sz00 != xn,
inference(global_subsumption_just,[status(thm)],[c_6790,c_1563,c_6790]) ).
tcf(c_16491,plain,
iLess0(sz00,xn),
inference(backward_subsumption_resolution,[status(thm)],[c_5855,c_16489]) ).
tcf(c_16492,plain,
sdtlseqdt0(sz10,xn),
inference(backward_subsumption_resolution,[status(thm)],[c_5348,c_16489]) ).
tcf(c_16493,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_16492,c_81]) ).
tcf(c_16494,plain,
( ( sz10 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xn,sz10) ),
inference(superposition,[status(thm)],[c_16492,c_80]) ).
tcf(c_16495,plain,
( ( sdtpldt0(sz10,sdtmndt0(xn,sz10)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_16492,c_78]) ).
tcf(c_16496,plain,
( ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_16492,c_75]) ).
tcf(c_16497,plain,
( iLess0(sz10,xn)
| ( sz10 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_16492,c_94]) ).
tcf(c_16498,plain,
( iLess0(sz10,xn)
| ( sz10 = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16497,c_116,c_50]) ).
tcf(c_16501,plain,
sdtpldt0(sz10,sK0(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_16496,c_116,c_50]) ).
tcf(c_16502,plain,
sdtpldt0(sz10,sdtmndt0(xn,sz10)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_16495,c_116,c_50]) ).
tcf(c_16503,plain,
( ( sz10 = xn )
| ~ sdtlseqdt0(xn,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16494,c_116,c_50]) ).
tcf(c_16506,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16493,c_116,c_50]) ).
tcf(c_16514,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_16501,c_119]) ).
tcf(c_16521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xn)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16501,c_87]) ).
tcf(c_16522,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16501,c_103]) ).
tcf(c_16523,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ doDivides0(X0,sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16501,c_102]) ).
tcf(c_16524,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz10,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16501,c_87]) ).
tcf(c_16525,plain,
! [X0: $i] :
( ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_16501,c_66]) ).
tcf(c_16526,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ sdtlseqdt0(sK0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_16501,c_85]) ).
tcf(c_16527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ sdtlseqdt0(X0,sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16501,c_85]) ).
tcf(c_16528,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ( sdtpldt0(X0,sK0(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_16501,c_67]) ).
tcf(c_16529,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ( sdtpldt0(X0,sK0(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16528,c_50]) ).
tcf(c_16534,plain,
! [X0: $i] :
( ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16525,c_50]) ).
tcf(c_16539,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ doDivides0(X0,sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16523,c_50]) ).
tcf(c_16545,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16522,c_50]) ).
tcf(c_16551,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz10,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16524,c_50]) ).
tcf(c_16557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xn)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16521,c_50]) ).
tcf(c_16563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ sdtlseqdt0(X0,sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16527,c_50]) ).
tcf(c_16569,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ sdtlseqdt0(sK0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16526,c_50]) ).
tcf(c_16575,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16514,c_50]) ).
tcf(c_16590,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sdtmndt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xn,sz10)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_16502,c_119]) ).
tcf(c_16597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16502,c_87]) ).
tcf(c_16598,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16502,c_103]) ).
tcf(c_16599,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16502,c_102]) ).
tcf(c_16600,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16502,c_87]) ).
tcf(c_16601,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_16502,c_66]) ).
tcf(c_16602,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ sdtlseqdt0(sdtmndt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_16502,c_85]) ).
tcf(c_16603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16502,c_85]) ).
tcf(c_16604,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ( sdtpldt0(X0,sdtmndt0(xn,sz10)) != xn ) ),
inference(superposition,[status(thm)],[c_16502,c_67]) ).
tcf(c_16605,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ( sdtpldt0(X0,sdtmndt0(xn,sz10)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16604,c_50]) ).
tcf(c_16610,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16601,c_50]) ).
tcf(c_16615,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16599,c_50]) ).
tcf(c_16621,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16598,c_50]) ).
tcf(c_16627,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16600,c_50]) ).
tcf(c_16633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16597,c_50]) ).
tcf(c_16639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16603,c_50]) ).
tcf(c_16645,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ sdtlseqdt0(sdtmndt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16602,c_50]) ).
tcf(c_16651,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sdtmndt0(xn,sz10))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xn,sz10)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16590,c_50]) ).
tcf(c_16756,plain,
( doDivides0(sz10,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5526,c_178]) ).
tcf(c_16758,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5526,c_93]) ).
tcf(c_16759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5526,c_91]) ).
tcf(c_16760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5526,c_91]) ).
tcf(c_16761,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5526,c_68]) ).
tcf(c_16762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5526,c_89]) ).
tcf(c_16763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xn))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5526,c_89]) ).
tcf(c_16764,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(X0,sdtpldt0(sz10,xn)) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5526,c_69]) ).
tcf(c_16765,plain,
doDivides0(sz10,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16756,c_50,c_5517]) ).
tcf(c_16766,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16758,c_5749,c_50,c_5517]) ).
tcf(c_16767,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16761,c_51,c_50,c_5517]) ).
tcf(c_16771,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xn)) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16764,c_5749,c_50,c_5517]) ).
tcf(c_16775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16763,c_51,c_50,c_5517]) ).
tcf(c_16780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16762,c_51,c_50,c_5517]) ).
tcf(c_16785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16760,c_5749,c_50,c_5517]) ).
tcf(c_16790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16759,c_5749,c_50,c_5517]) ).
tcf(c_16800,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xn),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16765,c_105]) ).
tcf(c_16801,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xn),sz10)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16765,c_100]) ).
tcf(c_16803,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_16765,c_101]) ).
tcf(c_16804,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16765,c_97]) ).
tcf(c_16807,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16804,c_50,c_5517]) ).
tcf(c_16808,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16803,c_50,c_5517]) ).
tcf(c_16812,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xn),sz10)) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16801,c_51,c_50,c_5517]) ).
tcf(c_16813,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xn),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16800,c_51,c_50,c_5517]) ).
tcf(c_16817,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_16766,c_81]) ).
tcf(c_16818,plain,
( ( sdtpldt0(sz10,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),sz10) ),
inference(superposition,[status(thm)],[c_16766,c_80]) ).
tcf(c_16819,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtpldt0(sz10,xn),sz10)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16766,c_78]) ).
tcf(c_16820,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16766,c_75]) ).
tcf(c_16821,plain,
( iLess0(sz10,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16766,c_94]) ).
tcf(c_16822,plain,
( iLess0(sz10,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16821,c_50,c_5517]) ).
tcf(c_16825,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16820,c_50,c_5517]) ).
tcf(c_16826,plain,
sdtpldt0(sz10,sdtmndt0(sdtpldt0(sz10,xn),sz10)) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16819,c_50,c_5517]) ).
tcf(c_16827,plain,
( ( sdtpldt0(sz10,xn) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16818,c_50,c_5517]) ).
tcf(c_16830,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16817,c_50,c_5517]) ).
tcf(c_16838,plain,
( doDivides0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5527,c_178]) ).
tcf(c_16840,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5527,c_93]) ).
tcf(c_16841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xn))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5527,c_91]) ).
tcf(c_16842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5527,c_91]) ).
tcf(c_16843,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5527,c_68]) ).
tcf(c_16844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5527,c_89]) ).
tcf(c_16845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5527,c_89]) ).
tcf(c_16846,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5527,c_69]) ).
tcf(c_16847,plain,
doDivides0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16838,c_50,c_5517]) ).
tcf(c_16848,plain,
sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16840,c_51,c_50,c_5517]) ).
tcf(c_16849,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16846,c_51,c_50,c_5517]) ).
tcf(c_16853,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16843,c_5749,c_50,c_5517]) ).
tcf(c_16857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16845,c_5749,c_50,c_5517]) ).
tcf(c_16862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16844,c_5749,c_50,c_5517]) ).
tcf(c_16867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16842,c_51,c_50,c_5517]) ).
tcf(c_16872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16841,c_51,c_50,c_5517]) ).
tcf(c_16882,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16847,c_105]) ).
tcf(c_16883,plain,
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xn),sdtsldt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16847,c_100]) ).
tcf(c_16886,plain,
( ( sdtasdt0(sdtpldt0(sz10,xn),sK1(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16847,c_97]) ).
tcf(c_16888,plain,
( doDivides0(sdtpldt0(sz10,xn),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(sdtpldt0(sz10,xn),sz10) ),
inference(superposition,[status(thm)],[c_16847,c_103]) ).
tcf(c_16889,plain,
sdtasdt0(sdtpldt0(sz10,xn),sK1(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16886,c_5517]) ).
tcf(c_16890,plain,
( doDivides0(sdtpldt0(sz10,xn),xn)
| ~ doDivides0(sdtpldt0(sz10,xn),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16888,c_116,c_50,c_5517]) ).
tcf(c_16893,plain,
sdtasdt0(sdtpldt0(sz10,xn),sdtsldt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16883,c_5749,c_5517]) ).
tcf(c_16894,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16882,c_5749,c_5517]) ).
tcf(c_16900,plain,
( ( sdtpldt0(sdtpldt0(sz10,xn),sdtmndt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16848,c_78]) ).
tcf(c_16901,plain,
( ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16848,c_75]) ).
tcf(c_16903,plain,
sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16901,c_5517]) ).
tcf(c_16904,plain,
sdtpldt0(sdtpldt0(sz10,xn),sdtmndt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16900,c_5517]) ).
tcf(c_16905,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xn)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5528,c_119]) ).
tcf(c_16910,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5528,c_181]) ).
tcf(c_16912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5528,c_87]) ).
tcf(c_16915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5528,c_87]) ).
tcf(c_16916,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5528,c_66]) ).
tcf(c_16917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5528,c_85]) ).
tcf(c_16918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5528,c_85]) ).
tcf(c_16919,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(X0,sdtpldt0(sz10,xn)) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5528,c_67]) ).
tcf(c_16920,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16910,c_49,c_5517]) ).
tcf(c_16921,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xn)) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16919,c_49,c_5517]) ).
tcf(c_16925,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16916,c_49,c_5517]) ).
tcf(c_16929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16915,c_49,c_5517]) ).
tcf(c_16934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16912,c_49,c_5517]) ).
tcf(c_16939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16918,c_49,c_5517]) ).
tcf(c_16944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16917,c_49,c_5517]) ).
tcf(c_16953,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_16920,c_81]) ).
tcf(c_16954,plain,
( ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),sz00) ),
inference(superposition,[status(thm)],[c_16920,c_80]) ).
tcf(c_16955,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(sz10,xn),sz00)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16920,c_78]) ).
tcf(c_16956,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16920,c_75]) ).
tcf(c_16957,plain,
( iLess0(sz00,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_16920,c_94]) ).
tcf(c_16958,plain,
iLess0(sz00,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_16957,c_5749,c_49,c_5517]) ).
tcf(c_16959,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16956,c_49,c_5517]) ).
tcf(c_16960,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(sz10,xn),sz00)) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_16955,c_49,c_5517]) ).
tcf(c_16961,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_16954,c_5749,c_49,c_5517]) ).
tcf(c_16962,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16953,c_49,c_5517]) ).
tcf(c_16968,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xn),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5529,c_119]) ).
tcf(c_16976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5529,c_87]) ).
tcf(c_16977,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5529,c_103]) ).
tcf(c_16979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5529,c_87]) ).
tcf(c_16980,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5529,c_66]) ).
tcf(c_16981,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5529,c_85]) ).
tcf(c_16982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5529,c_85]) ).
tcf(c_16983,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5529,c_67]) ).
tcf(c_16984,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16977,c_49,c_5517]) ).
tcf(c_16988,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16983,c_49,c_5517]) ).
tcf(c_16992,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16980,c_49,c_5517]) ).
tcf(c_16996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16982,c_49,c_5517]) ).
tcf(c_17001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16981,c_49,c_5517]) ).
tcf(c_17006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16979,c_49,c_5517]) ).
tcf(c_17011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16976,c_49,c_5517]) ).
tcf(c_17020,plain,
( doDivides0(sz10,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5757,c_178]) ).
tcf(c_17022,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5757,c_93]) ).
tcf(c_17023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5757,c_91]) ).
tcf(c_17024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5757,c_91]) ).
tcf(c_17025,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5757,c_68]) ).
tcf(c_17026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_5757,c_89]) ).
tcf(c_17027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5757,c_89]) ).
tcf(c_17028,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(X0,sdtpldt0(sz10,xp)) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5757,c_69]) ).
tcf(c_17029,plain,
doDivides0(sz10,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_17020,c_50,c_5563]) ).
tcf(c_17030,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_17022,c_5747,c_50,c_5563]) ).
tcf(c_17031,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17025,c_51,c_50,c_5563]) ).
tcf(c_17035,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xp)) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17028,c_5747,c_50,c_5563]) ).
tcf(c_17039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17027,c_51,c_50,c_5563]) ).
tcf(c_17044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17026,c_51,c_50,c_5563]) ).
tcf(c_17049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17024,c_5747,c_50,c_5563]) ).
tcf(c_17054,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17023,c_5747,c_50,c_5563]) ).
tcf(c_17066,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17029,c_105]) ).
tcf(c_17067,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xp),sz10)) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17029,c_100]) ).
tcf(c_17069,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_17029,c_101]) ).
tcf(c_17070,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17029,c_97]) ).
tcf(c_17073,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17070,c_50,c_5563]) ).
tcf(c_17074,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17069,c_50,c_5563]) ).
tcf(c_17078,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xp),sz10)) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17067,c_51,c_50,c_5563]) ).
tcf(c_17079,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17066,c_51,c_50,c_5563]) ).
tcf(c_17115,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_17030,c_81]) ).
tcf(c_17116,plain,
( ( sdtpldt0(sz10,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),sz10) ),
inference(superposition,[status(thm)],[c_17030,c_80]) ).
tcf(c_17117,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtpldt0(sz10,xp),sz10)) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17030,c_78]) ).
tcf(c_17118,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17030,c_75]) ).
tcf(c_17119,plain,
( iLess0(sz10,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17030,c_94]) ).
tcf(c_17120,plain,
( iLess0(sz10,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17119,c_50,c_5563]) ).
tcf(c_17123,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17118,c_50,c_5563]) ).
tcf(c_17124,plain,
sdtpldt0(sz10,sdtmndt0(sdtpldt0(sz10,xp),sz10)) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17117,c_50,c_5563]) ).
tcf(c_17125,plain,
( ( sdtpldt0(sz10,xp) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17116,c_50,c_5563]) ).
tcf(c_17128,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17115,c_50,c_5563]) ).
tcf(c_17148,plain,
( doDivides0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5758,c_178]) ).
tcf(c_17150,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5758,c_93]) ).
tcf(c_17151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5758,c_91]) ).
tcf(c_17152,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_5758,c_91]) ).
tcf(c_17153,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5758,c_68]) ).
tcf(c_17154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5758,c_89]) ).
tcf(c_17155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5758,c_89]) ).
tcf(c_17156,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5758,c_69]) ).
tcf(c_17157,plain,
doDivides0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_17148,c_50,c_5563]) ).
tcf(c_17158,plain,
sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_17150,c_51,c_50,c_5563]) ).
tcf(c_17159,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17156,c_51,c_50,c_5563]) ).
tcf(c_17163,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17153,c_5747,c_50,c_5563]) ).
tcf(c_17167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17155,c_5747,c_50,c_5563]) ).
tcf(c_17172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17154,c_5747,c_50,c_5563]) ).
tcf(c_17177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17152,c_51,c_50,c_5563]) ).
tcf(c_17182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17151,c_51,c_50,c_5563]) ).
tcf(c_17237,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17157,c_105]) ).
tcf(c_17238,plain,
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xp),sdtsldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17157,c_100]) ).
tcf(c_17241,plain,
( ( sdtasdt0(sdtpldt0(sz10,xp),sK1(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17157,c_97]) ).
tcf(c_17243,plain,
( doDivides0(sdtpldt0(sz10,xp),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(sdtpldt0(sz10,xp),sz10) ),
inference(superposition,[status(thm)],[c_17157,c_103]) ).
tcf(c_17244,plain,
sdtasdt0(sdtpldt0(sz10,xp),sK1(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17241,c_5563]) ).
tcf(c_17245,plain,
( doDivides0(sdtpldt0(sz10,xp),xp)
| ~ doDivides0(sdtpldt0(sz10,xp),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17243,c_118,c_50,c_5563]) ).
tcf(c_17248,plain,
sdtasdt0(sdtpldt0(sz10,xp),sdtsldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17238,c_5747,c_5563]) ).
tcf(c_17249,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17237,c_5747,c_5563]) ).
tcf(c_17267,plain,
( ( sdtpldt0(sdtpldt0(sz10,xp),sdtmndt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17158,c_78]) ).
tcf(c_17268,plain,
( ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17158,c_75]) ).
tcf(c_17270,plain,
sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17268,c_5563]) ).
tcf(c_17271,plain,
sdtpldt0(sdtpldt0(sz10,xp),sdtmndt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17267,c_5563]) ).
tcf(c_17359,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xp)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5759,c_119]) ).
tcf(c_17364,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5759,c_181]) ).
tcf(c_17366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5759,c_87]) ).
tcf(c_17369,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5759,c_87]) ).
tcf(c_17370,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5759,c_66]) ).
tcf(c_17371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_5759,c_85]) ).
tcf(c_17372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5759,c_85]) ).
tcf(c_17373,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(X0,sdtpldt0(sz10,xp)) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5759,c_67]) ).
tcf(c_17374,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_17364,c_49,c_5563]) ).
tcf(c_17375,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xp)) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17373,c_49,c_5563]) ).
tcf(c_17379,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17370,c_49,c_5563]) ).
tcf(c_17383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17369,c_49,c_5563]) ).
tcf(c_17388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17366,c_49,c_5563]) ).
tcf(c_17393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17372,c_49,c_5563]) ).
tcf(c_17398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17371,c_49,c_5563]) ).
tcf(c_17407,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_17374,c_81]) ).
tcf(c_17408,plain,
( ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),sz00) ),
inference(superposition,[status(thm)],[c_17374,c_80]) ).
tcf(c_17409,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(sz10,xp),sz00)) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17374,c_78]) ).
tcf(c_17410,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17374,c_75]) ).
tcf(c_17411,plain,
( iLess0(sz00,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_17374,c_94]) ).
tcf(c_17412,plain,
iLess0(sz00,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_17411,c_5747,c_49,c_5563]) ).
tcf(c_17413,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17410,c_49,c_5563]) ).
tcf(c_17414,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(sz10,xp),sz00)) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17409,c_49,c_5563]) ).
tcf(c_17415,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17408,c_5747,c_49,c_5563]) ).
tcf(c_17416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17407,c_49,c_5563]) ).
tcf(c_17431,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xp),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5760,c_119]) ).
tcf(c_17439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5760,c_87]) ).
tcf(c_17440,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5760,c_103]) ).
tcf(c_17442,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_5760,c_87]) ).
tcf(c_17443,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5760,c_66]) ).
tcf(c_17444,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5760,c_85]) ).
tcf(c_17445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5760,c_85]) ).
tcf(c_17446,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_5760,c_67]) ).
tcf(c_17447,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17440,c_49,c_5563]) ).
tcf(c_17451,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17446,c_49,c_5563]) ).
tcf(c_17455,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17443,c_49,c_5563]) ).
tcf(c_17459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17445,c_49,c_5563]) ).
tcf(c_17464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17444,c_49,c_5563]) ).
tcf(c_17469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17442,c_49,c_5563]) ).
tcf(c_17474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17439,c_49,c_5563]) ).
tcf(c_17538,plain,
( doDivides0(sz10,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5786,c_178]) ).
tcf(c_17540,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5786,c_93]) ).
tcf(c_17541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5786,c_91]) ).
tcf(c_17542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5786,c_91]) ).
tcf(c_17543,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5786,c_68]) ).
tcf(c_17544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_5786,c_89]) ).
tcf(c_17545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5786,c_89]) ).
tcf(c_17546,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(X0,sdtpldt0(sz10,xr)) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5786,c_69]) ).
tcf(c_17547,plain,
doDivides0(sz10,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_17538,c_50,c_5773]) ).
tcf(c_17548,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_17540,c_5778,c_50,c_5773]) ).
tcf(c_17549,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17543,c_51,c_50,c_5773]) ).
tcf(c_17553,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xr)) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17546,c_5778,c_50,c_5773]) ).
tcf(c_17557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17545,c_51,c_50,c_5773]) ).
tcf(c_17562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17544,c_51,c_50,c_5773]) ).
tcf(c_17567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17542,c_5778,c_50,c_5773]) ).
tcf(c_17572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17541,c_5778,c_50,c_5773]) ).
tcf(c_17627,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17547,c_105]) ).
tcf(c_17628,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xr),sz10)) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17547,c_100]) ).
tcf(c_17630,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_17547,c_101]) ).
tcf(c_17631,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17547,c_97]) ).
tcf(c_17634,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17631,c_50,c_5773]) ).
tcf(c_17635,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17630,c_50,c_5773]) ).
tcf(c_17639,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xr),sz10)) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17628,c_51,c_50,c_5773]) ).
tcf(c_17640,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17627,c_51,c_50,c_5773]) ).
tcf(c_17644,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_17548,c_81]) ).
tcf(c_17645,plain,
( ( sdtpldt0(sz10,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),sz10) ),
inference(superposition,[status(thm)],[c_17548,c_80]) ).
tcf(c_17646,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtpldt0(sz10,xr),sz10)) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17548,c_78]) ).
tcf(c_17647,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17548,c_75]) ).
tcf(c_17648,plain,
( iLess0(sz10,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17548,c_94]) ).
tcf(c_17649,plain,
( iLess0(sz10,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17648,c_50,c_5773]) ).
tcf(c_17652,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17647,c_50,c_5773]) ).
tcf(c_17653,plain,
sdtpldt0(sz10,sdtmndt0(sdtpldt0(sz10,xr),sz10)) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17646,c_50,c_5773]) ).
tcf(c_17654,plain,
( ( sdtpldt0(sz10,xr) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17645,c_50,c_5773]) ).
tcf(c_17657,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17644,c_50,c_5773]) ).
tcf(c_17724,plain,
( doDivides0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5787,c_178]) ).
tcf(c_17726,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5787,c_93]) ).
tcf(c_17727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5787,c_91]) ).
tcf(c_17728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_5787,c_91]) ).
tcf(c_17729,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5787,c_68]) ).
tcf(c_17730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5787,c_89]) ).
tcf(c_17731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5787,c_89]) ).
tcf(c_17732,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5787,c_69]) ).
tcf(c_17733,plain,
doDivides0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_17724,c_50,c_5773]) ).
tcf(c_17734,plain,
sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_17726,c_51,c_50,c_5773]) ).
tcf(c_17735,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17732,c_51,c_50,c_5773]) ).
tcf(c_17739,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17729,c_5778,c_50,c_5773]) ).
tcf(c_17743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17731,c_5778,c_50,c_5773]) ).
tcf(c_17748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17730,c_5778,c_50,c_5773]) ).
tcf(c_17753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17728,c_51,c_50,c_5773]) ).
tcf(c_17758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17727,c_51,c_50,c_5773]) ).
tcf(c_17768,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17733,c_105]) ).
tcf(c_17769,plain,
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xr),sdtsldt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17733,c_100]) ).
tcf(c_17772,plain,
( ( sdtasdt0(sdtpldt0(sz10,xr),sK1(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17733,c_97]) ).
tcf(c_17774,plain,
( doDivides0(sdtpldt0(sz10,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(sdtpldt0(sz10,xr),sz10) ),
inference(superposition,[status(thm)],[c_17733,c_103]) ).
tcf(c_17775,plain,
sdtasdt0(sdtpldt0(sz10,xr),sK1(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17772,c_5773]) ).
tcf(c_17776,plain,
( doDivides0(sdtpldt0(sz10,xr),xr)
| ~ doDivides0(sdtpldt0(sz10,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17774,c_4987,c_50,c_5773]) ).
tcf(c_17779,plain,
sdtasdt0(sdtpldt0(sz10,xr),sdtsldt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17769,c_5778,c_5773]) ).
tcf(c_17780,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17768,c_5778,c_5773]) ).
tcf(c_17786,plain,
( ( sdtpldt0(sdtpldt0(sz10,xr),sdtmndt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17734,c_78]) ).
tcf(c_17787,plain,
( ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17734,c_75]) ).
tcf(c_17789,plain,
sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17787,c_5773]) ).
tcf(c_17790,plain,
sdtpldt0(sdtpldt0(sz10,xr),sdtmndt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17786,c_5773]) ).
tcf(c_17791,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5788,c_119]) ).
tcf(c_17796,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5788,c_181]) ).
tcf(c_17798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5788,c_87]) ).
tcf(c_17801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5788,c_87]) ).
tcf(c_17802,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5788,c_66]) ).
tcf(c_17803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_5788,c_85]) ).
tcf(c_17804,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5788,c_85]) ).
tcf(c_17805,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(X0,sdtpldt0(sz10,xr)) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5788,c_67]) ).
tcf(c_17806,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_17796,c_49,c_5773]) ).
tcf(c_17807,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xr)) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17805,c_49,c_5773]) ).
tcf(c_17811,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17802,c_49,c_5773]) ).
tcf(c_17815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17801,c_49,c_5773]) ).
tcf(c_17820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17798,c_49,c_5773]) ).
tcf(c_17825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17804,c_49,c_5773]) ).
tcf(c_17830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17803,c_49,c_5773]) ).
tcf(c_17839,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_17806,c_81]) ).
tcf(c_17840,plain,
( ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),sz00) ),
inference(superposition,[status(thm)],[c_17806,c_80]) ).
tcf(c_17841,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(sz10,xr),sz00)) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17806,c_78]) ).
tcf(c_17842,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17806,c_75]) ).
tcf(c_17843,plain,
( iLess0(sz00,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_17806,c_94]) ).
tcf(c_17844,plain,
iLess0(sz00,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_17843,c_5778,c_49,c_5773]) ).
tcf(c_17845,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17842,c_49,c_5773]) ).
tcf(c_17846,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(sz10,xr),sz00)) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_17841,c_49,c_5773]) ).
tcf(c_17847,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17840,c_5778,c_49,c_5773]) ).
tcf(c_17848,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17839,c_49,c_5773]) ).
tcf(c_17854,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5789,c_119]) ).
tcf(c_17862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5789,c_87]) ).
tcf(c_17863,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5789,c_103]) ).
tcf(c_17865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_5789,c_87]) ).
tcf(c_17866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5789,c_66]) ).
tcf(c_17867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5789,c_85]) ).
tcf(c_17868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5789,c_85]) ).
tcf(c_17869,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_5789,c_67]) ).
tcf(c_17870,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17863,c_49,c_5773]) ).
tcf(c_17874,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17869,c_49,c_5773]) ).
tcf(c_17878,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17866,c_49,c_5773]) ).
tcf(c_17882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17868,c_49,c_5773]) ).
tcf(c_17887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17867,c_49,c_5773]) ).
tcf(c_17892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17865,c_49,c_5773]) ).
tcf(c_17897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17862,c_49,c_5773]) ).
tcf(c_17909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_6733,c_91]) ).
tcf(c_17910,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_6733,c_91]) ).
tcf(c_17914,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_6733,c_69]) ).
tcf(c_17915,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17914,c_6215,c_49,c_6213]) ).
tcf(c_17919,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17910,c_6215,c_49,c_6213]) ).
tcf(c_17924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xm))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17909,c_6215,c_49,c_6213]) ).
tcf(c_17932,plain,
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_6734,c_178]) ).
tcf(c_17937,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm)))
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6734,c_68]) ).
tcf(c_17938,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_6734,c_89]) ).
tcf(c_17939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_6734,c_89]) ).
tcf(c_17941,plain,
doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_17932,c_49,c_6213]) ).
tcf(c_17942,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17937,c_6215,c_49,c_6213]) ).
tcf(c_17946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17939,c_6215,c_49,c_6213]) ).
tcf(c_17951,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17938,c_6215,c_49,c_6213]) ).
tcf(c_17956,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,sdtpldt0(sz10,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_17941,c_105]) ).
tcf(c_17957,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_17941,c_100]) ).
tcf(c_17959,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_17941,c_101]) ).
tcf(c_17960,plain,
( ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sK1(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xm))) ),
inference(superposition,[status(thm)],[c_17941,c_97]) ).
tcf(c_17962,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17959,c_49,c_6213]) ).
tcf(c_17966,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sK1(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17960,c_49,c_6213]) ).
tcf(c_17967,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_17957,c_6215,c_49,c_6213]) ).
tcf(c_17968,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,sdtpldt0(sz10,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17956,c_6215,c_49,c_6213]) ).
tcf(c_17978,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_181,c_7076]) ).
tcf(c_17981,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7076]) ).
tcf(c_17982,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_93,c_7076]) ).
tcf(c_17986,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17981,c_118]) ).
tcf(c_17990,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17978,c_118]) ).
tcf(c_17994,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17982,c_118]) ).
tcf(c_18010,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_17986,c_81]) ).
tcf(c_18011,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_17986,c_80]) ).
tcf(c_18012,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17986,c_78]) ).
tcf(c_18013,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17986,c_75]) ).
tcf(c_18014,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17986,c_94]) ).
tcf(c_18016,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_17986,c_81]) ).
tcf(c_18017,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_17986,c_80]) ).
tcf(c_18018,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17986,c_78]) ).
tcf(c_18019,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17986,c_75]) ).
tcf(c_18020,plain,
! [X0: $i] :
( iLess0(X0,xp)
| sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17986,c_94]) ).
tcf(c_18023,plain,
! [X0: $i] :
( iLess0(X0,xp)
| sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18020,c_118]) ).
tcf(c_18028,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18014,c_50]) ).
tcf(c_18033,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18019,c_118]) ).
tcf(c_18037,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18018,c_118]) ).
tcf(c_18041,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18017,c_118]) ).
tcf(c_18046,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18013,c_50]) ).
tcf(c_18050,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18012,c_50]) ).
tcf(c_18054,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18011,c_50]) ).
tcf(c_18059,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18016,c_118]) ).
tcf(c_18065,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18010,c_50]) ).
tcf(c_18079,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,X0)) ),
inference(superposition,[status(thm)],[c_181,c_7080]) ).
tcf(c_18082,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7080]) ).
tcf(c_18083,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(superposition,[status(thm)],[c_93,c_7080]) ).
tcf(c_18088,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18082,c_4987]) ).
tcf(c_18092,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18079,c_4987]) ).
tcf(c_18096,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18083,c_4987]) ).
tcf(c_18149,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_18088,c_81]) ).
tcf(c_18150,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_18088,c_80]) ).
tcf(c_18151,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18088,c_78]) ).
tcf(c_18152,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18088,c_75]) ).
tcf(c_18153,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18088,c_94]) ).
tcf(c_18154,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_18088,c_81]) ).
tcf(c_18155,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_18088,c_80]) ).
tcf(c_18156,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18088,c_78]) ).
tcf(c_18157,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18088,c_75]) ).
tcf(c_18158,plain,
! [X0: $i] :
( iLess0(X0,xr)
| sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18088,c_94]) ).
tcf(c_18162,plain,
! [X0: $i] :
( iLess0(X0,xr)
| sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18158,c_4987]) ).
tcf(c_18167,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18153,c_49]) ).
tcf(c_18172,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18157,c_4987]) ).
tcf(c_18176,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18156,c_4987]) ).
tcf(c_18180,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18155,c_4987]) ).
tcf(c_18185,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18152,c_49]) ).
tcf(c_18189,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18151,c_49]) ).
tcf(c_18193,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18150,c_49]) ).
tcf(c_18198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18154,c_4987]) ).
tcf(c_18204,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18149,c_49]) ).
tcf(c_18233,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_181,c_7084]) ).
tcf(c_18236,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7084]) ).
tcf(c_18237,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_93,c_7084]) ).
tcf(c_18243,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18236,c_118]) ).
tcf(c_18247,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18233,c_118]) ).
tcf(c_18251,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18237,c_118]) ).
tcf(c_18263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_18243,c_81]) ).
tcf(c_18264,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_18243,c_80]) ).
tcf(c_18265,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18243,c_78]) ).
tcf(c_18266,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18243,c_75]) ).
tcf(c_18267,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18243,c_94]) ).
tcf(c_18268,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_18243,c_81]) ).
tcf(c_18269,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_18243,c_80]) ).
tcf(c_18270,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18243,c_78]) ).
tcf(c_18271,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18243,c_75]) ).
tcf(c_18272,plain,
! [X0: $i] :
( iLess0(X0,xp)
| sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18243,c_94]) ).
tcf(c_18277,plain,
! [X0: $i] :
( iLess0(X0,xp)
| sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18272,c_118]) ).
tcf(c_18282,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18267,c_49]) ).
tcf(c_18287,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18271,c_118]) ).
tcf(c_18291,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18270,c_118]) ).
tcf(c_18295,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18269,c_118]) ).
tcf(c_18300,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18266,c_49]) ).
tcf(c_18304,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18265,c_49]) ).
tcf(c_18308,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18264,c_49]) ).
tcf(c_18313,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18268,c_118]) ).
tcf(c_18319,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18263,c_49]) ).
tcf(c_18431,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_181,c_7088]) ).
tcf(c_18434,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7088]) ).
tcf(c_18435,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_93,c_7088]) ).
tcf(c_18441,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18434,c_117]) ).
tcf(c_18445,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18431,c_117]) ).
tcf(c_18449,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18435,c_117]) ).
tcf(c_18501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_18441,c_81]) ).
tcf(c_18502,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_18441,c_80]) ).
tcf(c_18503,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18441,c_78]) ).
tcf(c_18504,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18441,c_75]) ).
tcf(c_18505,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18441,c_94]) ).
tcf(c_18506,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_18441,c_81]) ).
tcf(c_18507,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_18441,c_80]) ).
tcf(c_18508,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18441,c_78]) ).
tcf(c_18509,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18441,c_75]) ).
tcf(c_18510,plain,
! [X0: $i] :
( iLess0(X0,xm)
| sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18441,c_94]) ).
tcf(c_18515,plain,
! [X0: $i] :
( iLess0(X0,xm)
| sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18510,c_117]) ).
tcf(c_18520,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18505,c_49]) ).
tcf(c_18525,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18509,c_117]) ).
tcf(c_18529,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xm,X0)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18508,c_117]) ).
tcf(c_18533,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18507,c_117]) ).
tcf(c_18538,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18504,c_49]) ).
tcf(c_18542,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18503,c_49]) ).
tcf(c_18546,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18502,c_49]) ).
tcf(c_18551,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18506,c_117]) ).
tcf(c_18557,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18501,c_49]) ).
tcf(c_18569,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_181,c_7092]) ).
tcf(c_18572,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7092]) ).
tcf(c_18573,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_93,c_7092]) ).
tcf(c_18580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18572,c_116]) ).
tcf(c_18584,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18569,c_116]) ).
tcf(c_18588,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18573,c_116]) ).
tcf(c_18600,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_18580,c_81]) ).
tcf(c_18601,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_18580,c_80]) ).
tcf(c_18602,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18580,c_78]) ).
tcf(c_18603,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18580,c_75]) ).
tcf(c_18604,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18580,c_94]) ).
tcf(c_18605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_18580,c_81]) ).
tcf(c_18606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_18580,c_80]) ).
tcf(c_18607,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18580,c_78]) ).
tcf(c_18608,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18580,c_75]) ).
tcf(c_18609,plain,
! [X0: $i] :
( iLess0(X0,xn)
| sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18580,c_94]) ).
tcf(c_18615,plain,
! [X0: $i] :
( iLess0(X0,xn)
| sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18609,c_116]) ).
tcf(c_18620,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18604,c_49]) ).
tcf(c_18625,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18608,c_116]) ).
tcf(c_18629,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18607,c_116]) ).
tcf(c_18633,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18606,c_116]) ).
tcf(c_18638,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18603,c_49]) ).
tcf(c_18642,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18602,c_49]) ).
tcf(c_18646,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18601,c_49]) ).
tcf(c_18651,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18605,c_116]) ).
tcf(c_18657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18600,c_49]) ).
tcf(c_18688,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,X0)) ),
inference(superposition,[status(thm)],[c_181,c_7096]) ).
tcf(c_18691,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7096]) ).
tcf(c_18693,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_92,c_7096]) ).
tcf(c_18694,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz10,X0)) ),
inference(superposition,[status(thm)],[c_93,c_7096]) ).
tcf(c_18709,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18691,c_50]) ).
tcf(c_18717,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18688,c_50]) ).
tcf(c_18721,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18694,c_50]) ).
tcf(c_18733,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_18709,c_81]) ).
tcf(c_18734,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_18709,c_80]) ).
tcf(c_18735,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18709,c_78]) ).
tcf(c_18736,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18709,c_75]) ).
tcf(c_18737,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18709,c_94]) ).
tcf(c_18738,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_18709,c_81]) ).
tcf(c_18739,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_18709,c_80]) ).
tcf(c_18740,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18709,c_78]) ).
tcf(c_18741,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18709,c_75]) ).
tcf(c_18742,plain,
! [X0: $i] :
( iLess0(X0,sz10)
| sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18709,c_94]) ).
tcf(c_18751,plain,
! [X0: $i] :
( iLess0(X0,sz10)
| sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18742,c_50]) ).
tcf(c_18756,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18737,c_49]) ).
tcf(c_18761,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18741,c_50]) ).
tcf(c_18765,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18740,c_50]) ).
tcf(c_18769,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18739,c_50]) ).
tcf(c_18774,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18736,c_49]) ).
tcf(c_18778,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18735,c_49]) ).
tcf(c_18782,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18734,c_49]) ).
tcf(c_18787,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18738,c_50]) ).
tcf(c_18793,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_18733,c_49]) ).
tcf(c_18845,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_181,c_7100]) ).
tcf(c_18848,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7100]) ).
tcf(c_18849,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_93,c_7100]) ).
tcf(c_18853,plain,
( sdtlseqdt0(xr,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5518,c_7100]) ).
tcf(c_18858,plain,
sdtlseqdt0(xr,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_18853,c_5517]) ).
tcf(c_18859,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18848,c_116]) ).
tcf(c_18863,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18845,c_116]) ).
tcf(c_18867,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18849,c_116]) ).
tcf(c_18873,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_18858,c_81]) ).
tcf(c_18874,plain,
( ( sdtpldt0(sz10,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xr) ),
inference(superposition,[status(thm)],[c_18858,c_80]) ).
tcf(c_18875,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(sz10,xn),xr)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_18858,c_78]) ).
tcf(c_18876,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_18858,c_75]) ).
tcf(c_18877,plain,
( iLess0(xr,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_18858,c_94]) ).
tcf(c_18879,plain,
( iLess0(xr,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18877,c_4987,c_5517]) ).
tcf(c_18882,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18876,c_4987,c_5517]) ).
tcf(c_18883,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(sz10,xn),xr)) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_18875,c_4987,c_5517]) ).
tcf(c_18884,plain,
( ( sdtpldt0(sz10,xn) = xr )
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18874,c_4987,c_5517]) ).
tcf(c_18887,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18873,c_4987,c_5517]) ).
tcf(c_18897,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_18859,c_81]) ).
tcf(c_18898,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_18859,c_80]) ).
tcf(c_18899,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xr,sdtmndt0(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18859,c_78]) ).
tcf(c_18900,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xr,sK0(xr,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18859,c_75]) ).
tcf(c_18901,plain,
! [X0: $i] :
( iLess0(xr,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18859,c_94]) ).
tcf(c_18904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_18859,c_81]) ).
tcf(c_18905,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_18859,c_80]) ).
tcf(c_18906,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18859,c_78]) ).
tcf(c_18907,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18859,c_75]) ).
tcf(c_18908,plain,
! [X0: $i] :
( iLess0(X0,xn)
| sdtlseqdt0(xr,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18859,c_94]) ).
tcf(c_18916,plain,
! [X0: $i] :
( iLess0(X0,xn)
| sdtlseqdt0(xr,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18908,c_116]) ).
tcf(c_18921,plain,
! [X0: $i] :
( iLess0(xr,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18901,c_4987]) ).
tcf(c_18926,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18907,c_116]) ).
tcf(c_18930,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18906,c_116]) ).
tcf(c_18934,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18905,c_116]) ).
tcf(c_18939,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xr,sK0(xr,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18900,c_4987]) ).
tcf(c_18943,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xr,sdtmndt0(X0,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18899,c_4987]) ).
tcf(c_18947,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18898,c_4987]) ).
tcf(c_18952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18904,c_116]) ).
tcf(c_18958,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18897,c_4987]) ).
tcf(c_18989,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_181,c_7104]) ).
tcf(c_18992,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_7104]) ).
tcf(c_18993,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_93,c_7104]) ).
tcf(c_18997,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5518,c_7104]) ).
tcf(c_19003,plain,
sdtlseqdt0(xp,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_18997,c_5517]) ).
tcf(c_19004,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18992,c_116]) ).
tcf(c_19008,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18989,c_116]) ).
tcf(c_19012,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18993,c_116]) ).
tcf(c_19018,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_19003,c_81]) ).
tcf(c_19019,plain,
( ( sdtpldt0(sz10,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xp) ),
inference(superposition,[status(thm)],[c_19003,c_80]) ).
tcf(c_19020,plain,
( ( sdtpldt0(xp,sdtmndt0(sdtpldt0(sz10,xn),xp)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_19003,c_78]) ).
tcf(c_19021,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_19003,c_75]) ).
tcf(c_19022,plain,
( iLess0(xp,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_19003,c_94]) ).
tcf(c_19025,plain,
( iLess0(xp,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19022,c_118,c_5517]) ).
tcf(c_19028,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_19021,c_118,c_5517]) ).
tcf(c_19029,plain,
sdtpldt0(xp,sdtmndt0(sdtpldt0(sz10,xn),xp)) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_19020,c_118,c_5517]) ).
tcf(c_19030,plain,
( ( sdtpldt0(sz10,xn) = xp )
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19019,c_118,c_5517]) ).
tcf(c_19033,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19018,c_118,c_5517]) ).
tcf(c_19115,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_19004,c_81]) ).
tcf(c_19116,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_19004,c_80]) ).
tcf(c_19117,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xp,sdtmndt0(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19004,c_78]) ).
tcf(c_19118,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xp,sK0(xp,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19004,c_75]) ).
tcf(c_19119,plain,
! [X0: $i] :
( iLess0(xp,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19004,c_94]) ).
tcf(c_19122,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19004,c_7076]) ).
tcf(c_19124,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_19004,c_81]) ).
tcf(c_19125,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_19004,c_80]) ).
tcf(c_19126,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19004,c_78]) ).
tcf(c_19127,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19004,c_75]) ).
tcf(c_19128,plain,
! [X0: $i] :
( iLess0(X0,xn)
| sdtlseqdt0(xp,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19004,c_94]) ).
tcf(c_19140,plain,
! [X0: $i] :
( iLess0(X0,xn)
| sdtlseqdt0(xp,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19128,c_116]) ).
tcf(c_19145,plain,
! [X0: $i] :
( iLess0(xp,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19119,c_118]) ).
tcf(c_19150,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19127,c_116]) ).
tcf(c_19154,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19126,c_116]) ).
tcf(c_19158,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19125,c_116]) ).
tcf(c_19163,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xp,sK0(xp,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19118,c_118]) ).
tcf(c_19167,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xp,sdtmndt0(X0,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19117,c_118]) ).
tcf(c_19171,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19116,c_118]) ).
tcf(c_19176,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19124,c_116]) ).
tcf(c_19182,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19115,c_118]) ).
tcf(c_19188,plain,
sz00 != xp,
inference(global_subsumption_just,[status(thm)],[c_7201,c_1563]) ).
tcf(c_19196,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7346]) ).
tcf(c_19197,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X1)
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7346]) ).
tcf(c_19200,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xr,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19196,c_4987]) ).
tcf(c_19204,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X1)
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19197,c_4987]) ).
tcf(c_19219,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7350]) ).
tcf(c_19220,plain,
! [X0: $i,X1: $i] :
( doDivides0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7350]) ).
tcf(c_19222,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19219,c_49]) ).
tcf(c_19226,plain,
! [X0: $i,X1: $i] :
( doDivides0(xr,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19220,c_49]) ).
tcf(c_19241,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_19122,c_81]) ).
tcf(c_19242,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_19122,c_80]) ).
tcf(c_19243,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19122,c_78]) ).
tcf(c_19244,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19122,c_75]) ).
tcf(c_19245,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19122,c_94]) ).
tcf(c_19248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_19122,c_81]) ).
tcf(c_19249,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_19122,c_80]) ).
tcf(c_19250,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19122,c_78]) ).
tcf(c_19251,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19122,c_75]) ).
tcf(c_19252,plain,
! [X0: $i] :
( iLess0(X0,xn)
| sdtlseqdt0(sz10,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19122,c_94]) ).
tcf(c_19261,plain,
! [X0: $i] :
( iLess0(X0,xn)
| sdtlseqdt0(sz10,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19252,c_116]) ).
tcf(c_19266,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19245,c_50]) ).
tcf(c_19271,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19251,c_116]) ).
tcf(c_19275,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19250,c_116]) ).
tcf(c_19279,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19249,c_116]) ).
tcf(c_19284,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19244,c_50]) ).
tcf(c_19288,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19243,c_50]) ).
tcf(c_19292,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19242,c_50]) ).
tcf(c_19297,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19248,c_116]) ).
tcf(c_19303,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19241,c_50]) ).
tcf(c_19377,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7354]) ).
tcf(c_19378,plain,
! [X0: $i,X1: $i] :
( doDivides0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7354]) ).
tcf(c_19380,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19377,c_49]) ).
tcf(c_19384,plain,
! [X0: $i,X1: $i] :
( doDivides0(xm,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19378,c_49]) ).
tcf(c_19464,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7358]) ).
tcf(c_19465,plain,
! [X0: $i,X1: $i] :
( doDivides0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7358]) ).
tcf(c_19467,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19464,c_49]) ).
tcf(c_19471,plain,
! [X0: $i,X1: $i] :
( doDivides0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19465,c_49]) ).
tcf(c_19486,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7362]) ).
tcf(c_19487,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X1)
| ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7362]) ).
tcf(c_19488,plain,
( doDivides0(sz10,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_121,c_7362]) ).
tcf(c_19489,plain,
( doDivides0(sz10,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_7362]) ).
tcf(c_19496,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19486,c_118]) ).
tcf(c_19500,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X1)
| ~ doDivides0(xp,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19487,c_118]) ).
tcf(c_19515,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7366]) ).
tcf(c_19516,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7366]) ).
tcf(c_19519,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19515,c_117]) ).
tcf(c_19523,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X1)
| ~ doDivides0(xm,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19516,c_117]) ).
tcf(c_19538,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7370]) ).
tcf(c_19539,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X1)
| ~ doDivides0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7370]) ).
tcf(c_19542,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19538,c_116]) ).
tcf(c_19546,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X1)
| ~ doDivides0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19539,c_116]) ).
tcf(c_19561,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7374]) ).
tcf(c_19562,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7374]) ).
tcf(c_19564,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19561,c_49]) ).
tcf(c_19568,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19562,c_49]) ).
tcf(c_19583,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_178,c_7378]) ).
tcf(c_19584,plain,
! [X0: $i,X1: $i] :
( doDivides0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_7378]) ).
tcf(c_19586,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19583,c_49]) ).
tcf(c_19590,plain,
! [X0: $i,X1: $i] :
( doDivides0(xp,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19584,c_49]) ).
tcf(c_19605,plain,
( isPrime0(xr)
| doDivides0(sK2(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK2(xr)) ),
inference(superposition,[status(thm)],[c_109,c_9614]) ).
tcf(c_19606,plain,
( doDivides0(sK3(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK3(xr)) ),
inference(superposition,[status(thm)],[c_114,c_9614]) ).
tcf(c_19609,plain,
( doDivides0(sK3(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK3(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19606,c_4987]) ).
tcf(c_19614,plain,
( isPrime0(xr)
| doDivides0(sK2(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK2(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19605,c_4987]) ).
tcf(c_19627,plain,
( doDivides0(sK3(xp),sz00)
| ( sz10 = xp )
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK3(xp)) ),
inference(superposition,[status(thm)],[c_114,c_9618]) ).
tcf(c_19630,plain,
( doDivides0(sK3(xp),sz00)
| ( sz10 = xp )
| ~ aNaturalNumber0(sK3(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19627,c_19188,c_118]) ).
tcf(c_19640,plain,
( isPrime0(xm)
| doDivides0(sK2(xm),sz00)
| ( sz10 = xm )
| ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xm)) ),
inference(superposition,[status(thm)],[c_109,c_9622]) ).
tcf(c_19641,plain,
( doDivides0(sK3(xm),sz00)
| ( sz10 = xm )
| ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xm)) ),
inference(superposition,[status(thm)],[c_114,c_9622]) ).
tcf(c_19644,plain,
( doDivides0(sK3(xm),sz00)
| ( sz10 = xm )
| ( sz00 = xm )
| ~ aNaturalNumber0(sK3(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19641,c_117]) ).
tcf(c_19649,plain,
( isPrime0(xm)
| doDivides0(sK2(xm),sz00)
| ( sz10 = xm )
| ( sz00 = xm )
| ~ aNaturalNumber0(sK2(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19640,c_117]) ).
tcf(c_19661,plain,
( isPrime0(xn)
| doDivides0(sK2(xn),sz00)
| ( sz10 = xn )
| ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xn)) ),
inference(superposition,[status(thm)],[c_109,c_9626]) ).
tcf(c_19662,plain,
( doDivides0(sK3(xn),sz00)
| ( sz10 = xn )
| ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn)) ),
inference(superposition,[status(thm)],[c_114,c_9626]) ).
tcf(c_19665,plain,
( doDivides0(sK3(xn),sz00)
| ( sz10 = xn )
| ~ aNaturalNumber0(sK3(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19662,c_16489,c_116]) ).
tcf(c_19669,plain,
( isPrime0(xn)
| doDivides0(sK2(xn),sz00)
| ( sz10 = xn )
| ~ aNaturalNumber0(sK2(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19661,c_16489,c_116]) ).
tcf(c_19689,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_181,c_16506]) ).
tcf(c_19692,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_83,c_16506]) ).
tcf(c_19693,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_93,c_16506]) ).
tcf(c_19706,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19689,c_116]) ).
tcf(c_19710,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19693,c_116]) ).
tcf(c_19720,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19488,c_105]) ).
tcf(c_19721,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19488,c_100]) ).
tcf(c_19723,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_19488,c_101]) ).
tcf(c_19724,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19488,c_97]) ).
tcf(c_19725,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19488,c_104]) ).
tcf(c_19726,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19725,c_50]) ).
tcf(c_19730,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19724,c_50]) ).
tcf(c_19733,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19723,c_50]) ).
tcf(c_19738,plain,
( ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19721,c_51,c_50]) ).
tcf(c_19741,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19720,c_51,c_50]) ).
tcf(c_19750,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_19489,c_105]) ).
tcf(c_19751,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10)) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_19489,c_100]) ).
tcf(c_19753,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ doDivides0(sdtasdt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_19489,c_101]) ).
tcf(c_19754,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_19489,c_97]) ).
tcf(c_19755,plain,
( sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_19489,c_104]) ).
tcf(c_19756,plain,
( sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19755,c_50]) ).
tcf(c_19760,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19754,c_50]) ).
tcf(c_19763,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ doDivides0(sdtasdt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19753,c_50]) ).
tcf(c_19768,plain,
( ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10)) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19751,c_51,c_50]) ).
tcf(c_19771,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sz10) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19750,c_51,c_50]) ).
tcf(c_19782,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4839]) ).
tcf(c_19783,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4839]) ).
tcf(c_19784,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xn) = sdtpldt0(xn,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4839]) ).
tcf(c_19785,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xn) = sdtpldt0(xn,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4839]) ).
tcf(c_19786,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xn) = sdtpldt0(xn,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4839]) ).
tcf(c_19787,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xn) = sdtpldt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4839]) ).
tcf(c_19788,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),xn) = sdtpldt0(xn,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4839]) ).
tcf(c_19789,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),xn) = sdtpldt0(xn,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4839]) ).
tcf(c_19791,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_117,c_4839]) ).
tcf(c_19792,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_118,c_4839]) ).
tcf(c_19793,plain,
sdtpldt0(xn,xr) = sdtpldt0(xr,xn),
inference(superposition,[status(thm)],[c_4987,c_4839]) ).
tcf(c_19794,plain,
sdtpldt0(sdtpldt0(sz10,xn),xn) = sdtpldt0(xn,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4839]) ).
tcf(c_19795,plain,
sdtpldt0(sdtpldt0(sz10,xm),xn) = sdtpldt0(xn,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4839]) ).
tcf(c_19796,plain,
sdtpldt0(sdtpldt0(sz10,xp),xn) = sdtpldt0(xn,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4839]) ).
tcf(c_19797,plain,
sdtpldt0(sdtpldt0(sz10,xr),xn) = sdtpldt0(xn,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4839]) ).
tcf(c_19798,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),xn) = sdtpldt0(xn,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4839]) ).
tcf(c_19836,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_19791,c_119]) ).
tcf(c_19839,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_19791,c_71]) ).
tcf(c_19840,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_19791,c_70]) ).
tcf(c_19841,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_19791,c_181]) ).
tcf(c_19842,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_19791,c_52]) ).
tcf(c_19843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_19791,c_87]) ).
tcf(c_19844,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19791,c_103]) ).
tcf(c_19845,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_19791,c_102]) ).
tcf(c_19846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_19791,c_87]) ).
tcf(c_19847,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19791,c_66]) ).
tcf(c_19848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_19791,c_85]) ).
tcf(c_19849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xn,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_19791,c_85]) ).
tcf(c_19850,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19791,c_67]) ).
tcf(c_19851,plain,
aNaturalNumber0(sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_19842,c_117,c_116]) ).
tcf(c_19852,plain,
sdtlseqdt0(xm,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_19841,c_117,c_116]) ).
tcf(c_19856,plain,
sdtpldt0(xn,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19839,c_16489,c_117,c_116]) ).
tcf(c_19857,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19850,c_117,c_116]) ).
tcf(c_19861,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19847,c_117,c_116]) ).
tcf(c_19865,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19845,c_117,c_116]) ).
tcf(c_19870,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19844,c_117,c_116]) ).
tcf(c_19875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xn,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19849,c_117,c_116]) ).
tcf(c_19880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19848,c_117,c_116]) ).
tcf(c_19885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19846,c_117,c_116]) ).
tcf(c_19890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19843,c_117,c_116]) ).
tcf(c_19895,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19836,c_117,c_116]) ).
tcf(c_19908,plain,
sdtpldt0(sdtpldt0(xn,xm),xn) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4839]) ).
tcf(c_19909,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X1,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19851,c_65]) ).
tcf(c_19910,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtasdt0(sdtpldt0(xn,xm),X1)) = sdtasdt0(sdtpldt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19851,c_64]) ).
tcf(c_19911,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),X1) = sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19851,c_59]) ).
tcf(c_19912,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),X0),X1) = sdtpldt0(sdtpldt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19851,c_55]) ).
tcf(c_19913,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19851,c_191]) ).
tcf(c_19914,plain,
sdtpldt0(sdtpldt0(xn,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4836]) ).
tcf(c_19915,plain,
sdtpldt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4835]) ).
tcf(c_19916,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19851,c_184]) ).
tcf(c_19917,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xm),X0) = sdtasdt0(X0,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19851,c_58]) ).
tcf(c_19918,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(X0,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19851,c_54]) ).
tcf(c_19919,plain,
sdtasdt0(sz00,sdtpldt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_19851,c_63]) ).
tcf(c_19920,plain,
sdtasdt0(sdtpldt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_19851,c_62]) ).
tcf(c_19921,plain,
sdtasdt0(sz10,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_19851,c_61]) ).
tcf(c_19922,plain,
sdtasdt0(sdtpldt0(xn,xm),sz10) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_19851,c_60]) ).
tcf(c_19923,plain,
sdtpldt0(sz00,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_19851,c_57]) ).
tcf(c_19924,plain,
sdtpldt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_19851,c_56]) ).
tcf(c_20098,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_19852,c_81]) ).
tcf(c_20099,plain,
( ( sdtpldt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xm) ),
inference(superposition,[status(thm)],[c_19852,c_80]) ).
tcf(c_20100,plain,
( ( sdtpldt0(xm,sdtmndt0(sdtpldt0(xn,xm),xm)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19852,c_78]) ).
tcf(c_20101,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19852,c_75]) ).
tcf(c_20102,plain,
( iLess0(xm,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19852,c_94]) ).
tcf(c_20103,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19852,c_7088]) ).
tcf(c_20104,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_20103,c_19851]) ).
tcf(c_20105,plain,
( iLess0(xm,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20102,c_117,c_19851]) ).
tcf(c_20108,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_20101,c_117,c_19851]) ).
tcf(c_20109,plain,
sdtpldt0(xm,sdtmndt0(sdtpldt0(xn,xm),xm)) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_20100,c_117,c_19851]) ).
tcf(c_20110,plain,
( ( sdtpldt0(xn,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20099,c_117,c_19851]) ).
tcf(c_20113,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20098,c_117,c_19851]) ).
tcf(c_20118,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_20104,c_81]) ).
tcf(c_20119,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz00) ),
inference(superposition,[status(thm)],[c_20104,c_80]) ).
tcf(c_20120,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xn,xm),sz00)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_20104,c_78]) ).
tcf(c_20121,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_20104,c_75]) ).
tcf(c_20122,plain,
( iLess0(sz00,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_20104,c_94]) ).
tcf(c_20123,plain,
( iLess0(sz00,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20122,c_49,c_19851]) ).
tcf(c_20126,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_20121,c_49,c_19851]) ).
tcf(c_20127,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xn,xm),sz00)) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_20120,c_49,c_19851]) ).
tcf(c_20128,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20119,c_49,c_19851]) ).
tcf(c_20131,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20118,c_49,c_19851]) ).
tcf(c_20214,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_19792,c_119]) ).
tcf(c_20218,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xp,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_19792,c_70]) ).
tcf(c_20219,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_19792,c_181]) ).
tcf(c_20220,plain,
( aNaturalNumber0(sdtpldt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_19792,c_52]) ).
tcf(c_20221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_19792,c_87]) ).
tcf(c_20222,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_19792,c_103]) ).
tcf(c_20223,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_19792,c_102]) ).
tcf(c_20224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_19792,c_87]) ).
tcf(c_20225,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_19792,c_66]) ).
tcf(c_20226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xn,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_19792,c_85]) ).
tcf(c_20227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_19792,c_85]) ).
tcf(c_20228,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_19792,c_67]) ).
tcf(c_20229,plain,
aNaturalNumber0(sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_20220,c_118,c_116]) ).
tcf(c_20230,plain,
sdtlseqdt0(xn,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_20219,c_118,c_116]) ).
tcf(c_20231,plain,
sdtpldt0(xp,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20218,c_16489,c_118,c_116]) ).
tcf(c_20232,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20228,c_118,c_116]) ).
tcf(c_20236,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20225,c_118,c_116]) ).
tcf(c_20240,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20223,c_118,c_116]) ).
tcf(c_20245,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20222,c_118,c_116]) ).
tcf(c_20250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(xp,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20227,c_118,c_116]) ).
tcf(c_20255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xn,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20226,c_118,c_116]) ).
tcf(c_20260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20224,c_118,c_116]) ).
tcf(c_20265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20221,c_118,c_116]) ).
tcf(c_20270,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20214,c_118,c_116]) ).
tcf(c_20283,plain,
sdtpldt0(sdtpldt0(xp,xn),xn) = sdtpldt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4839]) ).
tcf(c_20284,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sdtasdt0(X1,sdtpldt0(xp,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20229,c_65]) ).
tcf(c_20285,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xn),X0),sdtasdt0(sdtpldt0(xp,xn),X1)) = sdtasdt0(sdtpldt0(xp,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20229,c_64]) ).
tcf(c_20286,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xn),X0),X1) = sdtasdt0(sdtpldt0(xp,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20229,c_59]) ).
tcf(c_20287,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xn),X0),X1) = sdtpldt0(sdtpldt0(xp,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20229,c_55]) ).
tcf(c_20288,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20229,c_191]) ).
tcf(c_20289,plain,
sdtpldt0(sdtpldt0(xp,xn),sz10) = sdtpldt0(sz10,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4836]) ).
tcf(c_20290,plain,
sdtpldt0(sdtpldt0(xp,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4835]) ).
tcf(c_20291,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20229,c_184]) ).
tcf(c_20292,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xn),X0) = sdtasdt0(X0,sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20229,c_58]) ).
tcf(c_20293,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xn),X0) = sdtpldt0(X0,sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20229,c_54]) ).
tcf(c_20294,plain,
sdtasdt0(sz00,sdtpldt0(xp,xn)) = sz00,
inference(superposition,[status(thm)],[c_20229,c_63]) ).
tcf(c_20295,plain,
sdtasdt0(sdtpldt0(xp,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_20229,c_62]) ).
tcf(c_20296,plain,
sdtasdt0(sz10,sdtpldt0(xp,xn)) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_20229,c_61]) ).
tcf(c_20297,plain,
sdtasdt0(sdtpldt0(xp,xn),sz10) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_20229,c_60]) ).
tcf(c_20298,plain,
sdtpldt0(sz00,sdtpldt0(xp,xn)) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_20229,c_57]) ).
tcf(c_20299,plain,
sdtpldt0(sdtpldt0(xp,xn),sz00) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_20229,c_56]) ).
tcf(c_20350,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20230,c_81]) ).
tcf(c_20351,plain,
( ( sdtpldt0(xp,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),xn) ),
inference(superposition,[status(thm)],[c_20230,c_80]) ).
tcf(c_20352,plain,
( ( sdtpldt0(xn,sdtmndt0(sdtpldt0(xp,xn),xn)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20230,c_78]) ).
tcf(c_20353,plain,
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20230,c_75]) ).
tcf(c_20354,plain,
( iLess0(xn,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20230,c_94]) ).
tcf(c_20355,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20230,c_16506]) ).
tcf(c_20356,plain,
( sdtlseqdt0(xp,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20230,c_7104]) ).
tcf(c_20357,plain,
( sdtlseqdt0(xr,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20230,c_7100]) ).
tcf(c_20358,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20230,c_7092]) ).
tcf(c_20359,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_20358,c_20229]) ).
tcf(c_20360,plain,
sdtlseqdt0(xr,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_20357,c_20229]) ).
tcf(c_20361,plain,
sdtlseqdt0(xp,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_20356,c_20229]) ).
tcf(c_20362,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_20355,c_20229]) ).
tcf(c_20363,plain,
( iLess0(xn,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20354,c_116,c_20229]) ).
tcf(c_20366,plain,
sdtpldt0(xn,sK0(xn,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20353,c_116,c_20229]) ).
tcf(c_20367,plain,
sdtpldt0(xn,sdtmndt0(sdtpldt0(xp,xn),xn)) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20352,c_116,c_20229]) ).
tcf(c_20368,plain,
( ( sdtpldt0(xp,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(xp,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20351,c_116,c_20229]) ).
tcf(c_20371,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20350,c_116,c_20229]) ).
tcf(c_20403,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20359,c_81]) ).
tcf(c_20404,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),sz00) ),
inference(superposition,[status(thm)],[c_20359,c_80]) ).
tcf(c_20405,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xn),sz00)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20359,c_78]) ).
tcf(c_20406,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20359,c_75]) ).
tcf(c_20407,plain,
( iLess0(sz00,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20359,c_94]) ).
tcf(c_20408,plain,
( iLess0(sz00,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20407,c_49,c_20229]) ).
tcf(c_20411,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20406,c_49,c_20229]) ).
tcf(c_20412,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xn),sz00)) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20405,c_49,c_20229]) ).
tcf(c_20413,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20404,c_49,c_20229]) ).
tcf(c_20416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20403,c_49,c_20229]) ).
tcf(c_20433,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20360,c_81]) ).
tcf(c_20434,plain,
( ( sdtpldt0(xp,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),xr) ),
inference(superposition,[status(thm)],[c_20360,c_80]) ).
tcf(c_20435,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xp,xn),xr)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20360,c_78]) ).
tcf(c_20436,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20360,c_75]) ).
tcf(c_20437,plain,
( iLess0(xr,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20360,c_94]) ).
tcf(c_20439,plain,
( iLess0(xr,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20437,c_4987,c_20229]) ).
tcf(c_20442,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20436,c_4987,c_20229]) ).
tcf(c_20443,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(xp,xn),xr)) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20435,c_4987,c_20229]) ).
tcf(c_20444,plain,
( ( sdtpldt0(xp,xn) = xr )
| ~ sdtlseqdt0(sdtpldt0(xp,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20434,c_4987,c_20229]) ).
tcf(c_20447,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20433,c_4987,c_20229]) ).
tcf(c_20474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19919,c_91]) ).
tcf(c_20475,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19919,c_91]) ).
tcf(c_20479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_19919,c_69]) ).
tcf(c_20480,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20479,c_19856,c_49,c_19851]) ).
tcf(c_20484,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20475,c_19856,c_49,c_19851]) ).
tcf(c_20489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20474,c_19856,c_49,c_19851]) ).
tcf(c_20532,plain,
( doDivides0(sdtpldt0(xn,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19920,c_178]) ).
tcf(c_20537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19920,c_68]) ).
tcf(c_20538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19920,c_89]) ).
tcf(c_20539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19920,c_89]) ).
tcf(c_20541,plain,
doDivides0(sdtpldt0(xn,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20532,c_49,c_19851]) ).
tcf(c_20542,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20537,c_19856,c_49,c_19851]) ).
tcf(c_20546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20539,c_19856,c_49,c_19851]) ).
tcf(c_20551,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20538,c_19856,c_49,c_19851]) ).
tcf(c_20556,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_20541,c_105]) ).
tcf(c_20557,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sz00,sdtpldt0(xn,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_20541,c_100]) ).
tcf(c_20559,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_20541,c_101]) ).
tcf(c_20560,plain,
( ( sdtasdt0(sdtpldt0(xn,xm),sK1(sdtpldt0(xn,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_20541,c_97]) ).
tcf(c_20562,plain,
sdtasdt0(sdtpldt0(xn,xm),sK1(sdtpldt0(xn,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20560,c_49,c_19851]) ).
tcf(c_20563,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20559,c_49,c_19851]) ).
tcf(c_20567,plain,
sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sz00,sdtpldt0(xn,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20557,c_19856,c_49,c_19851]) ).
tcf(c_20568,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20556,c_19856,c_49,c_19851]) ).
tcf(c_20572,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20361,c_81]) ).
tcf(c_20573,plain,
( ( sdtpldt0(xp,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),xp) ),
inference(superposition,[status(thm)],[c_20361,c_80]) ).
tcf(c_20574,plain,
( ( sdtpldt0(xp,sdtmndt0(sdtpldt0(xp,xn),xp)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20361,c_78]) ).
tcf(c_20575,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20361,c_75]) ).
tcf(c_20576,plain,
( iLess0(xp,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20361,c_94]) ).
tcf(c_20579,plain,
( iLess0(xp,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20576,c_118,c_20229]) ).
tcf(c_20582,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20575,c_118,c_20229]) ).
tcf(c_20583,plain,
sdtpldt0(xp,sdtmndt0(sdtpldt0(xp,xn),xp)) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20574,c_118,c_20229]) ).
tcf(c_20584,plain,
( ( sdtpldt0(xp,xn) = xp )
| ~ sdtlseqdt0(sdtpldt0(xp,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20573,c_118,c_20229]) ).
tcf(c_20587,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20572,c_118,c_20229]) ).
tcf(c_20599,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20362,c_81]) ).
tcf(c_20600,plain,
( ( sdtpldt0(xp,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),sz10) ),
inference(superposition,[status(thm)],[c_20362,c_80]) ).
tcf(c_20601,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtpldt0(xp,xn),sz10)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20362,c_78]) ).
tcf(c_20602,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20362,c_75]) ).
tcf(c_20603,plain,
( iLess0(sz10,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20362,c_94]) ).
tcf(c_20605,plain,
( iLess0(sz10,sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20603,c_50,c_20229]) ).
tcf(c_20608,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20602,c_50,c_20229]) ).
tcf(c_20609,plain,
sdtpldt0(sz10,sdtmndt0(sdtpldt0(xp,xn),sz10)) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_20601,c_50,c_20229]) ).
tcf(c_20610,plain,
( ( sdtpldt0(xp,xn) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,xn),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20600,c_50,c_20229]) ).
tcf(c_20613,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20599,c_50,c_20229]) ).
tcf(c_20719,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_19793,c_119]) ).
tcf(c_20722,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_19793,c_71]) ).
tcf(c_20723,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_19793,c_70]) ).
tcf(c_20724,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_19793,c_181]) ).
tcf(c_20725,plain,
( aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_19793,c_52]) ).
tcf(c_20726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_19793,c_87]) ).
tcf(c_20727,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19793,c_103]) ).
tcf(c_20728,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_19793,c_102]) ).
tcf(c_20729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_19793,c_87]) ).
tcf(c_20730,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_19793,c_66]) ).
tcf(c_20731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_19793,c_85]) ).
tcf(c_20732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_19793,c_85]) ).
tcf(c_20733,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_19793,c_67]) ).
tcf(c_20734,plain,
aNaturalNumber0(sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_20725,c_4987,c_116]) ).
tcf(c_20735,plain,
sdtlseqdt0(xr,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_20724,c_4987,c_116]) ).
tcf(c_20739,plain,
sdtpldt0(xn,xr) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_20722,c_16489,c_4987,c_116]) ).
tcf(c_20740,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20733,c_4987,c_116]) ).
tcf(c_20744,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20730,c_4987,c_116]) ).
tcf(c_20748,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20728,c_4987,c_116]) ).
tcf(c_20753,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20727,c_4987,c_116]) ).
tcf(c_20758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20732,c_4987,c_116]) ).
tcf(c_20763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20731,c_4987,c_116]) ).
tcf(c_20768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20729,c_4987,c_116]) ).
tcf(c_20773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20726,c_4987,c_116]) ).
tcf(c_20778,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20719,c_4987,c_116]) ).
tcf(c_20869,plain,
sdtpldt0(sdtpldt0(xn,xr),xn) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4839]) ).
tcf(c_20870,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtasdt0(X1,sdtpldt0(xn,xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20734,c_65]) ).
tcf(c_20871,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtasdt0(sdtpldt0(xn,xr),X1)) = sdtasdt0(sdtpldt0(xn,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20734,c_64]) ).
tcf(c_20872,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xr),X0),X1) = sdtasdt0(sdtpldt0(xn,xr),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20734,c_59]) ).
tcf(c_20873,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),X0),X1) = sdtpldt0(sdtpldt0(xn,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20734,c_55]) ).
tcf(c_20874,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20734,c_191]) ).
tcf(c_20875,plain,
sdtpldt0(sdtpldt0(xn,xr),sz10) = sdtpldt0(sz10,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4836]) ).
tcf(c_20876,plain,
sdtpldt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4835]) ).
tcf(c_20877,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20734,c_184]) ).
tcf(c_20878,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xr),X0) = sdtasdt0(X0,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20734,c_58]) ).
tcf(c_20879,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xr),X0) = sdtpldt0(X0,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20734,c_54]) ).
tcf(c_20880,plain,
sdtasdt0(sz00,sdtpldt0(xn,xr)) = sz00,
inference(superposition,[status(thm)],[c_20734,c_63]) ).
tcf(c_20881,plain,
sdtasdt0(sdtpldt0(xn,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_20734,c_62]) ).
tcf(c_20882,plain,
sdtasdt0(sz10,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_20734,c_61]) ).
tcf(c_20883,plain,
sdtasdt0(sdtpldt0(xn,xr),sz10) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_20734,c_60]) ).
tcf(c_20884,plain,
sdtpldt0(sz00,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_20734,c_57]) ).
tcf(c_20885,plain,
sdtpldt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_20734,c_56]) ).
tcf(c_20914,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_20735,c_81]) ).
tcf(c_20915,plain,
( ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_20735,c_80]) ).
tcf(c_20916,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20735,c_78]) ).
tcf(c_20917,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20735,c_75]) ).
tcf(c_20918,plain,
( iLess0(xr,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20735,c_94]) ).
tcf(c_20919,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20735,c_7080]) ).
tcf(c_20920,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_20919,c_20734]) ).
tcf(c_20921,plain,
( iLess0(xr,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20918,c_4987,c_20734]) ).
tcf(c_20924,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_20917,c_4987,c_20734]) ).
tcf(c_20925,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_20916,c_4987,c_20734]) ).
tcf(c_20926,plain,
( ( sdtpldt0(xn,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20915,c_4987,c_20734]) ).
tcf(c_20929,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20914,c_4987,c_20734]) ).
tcf(c_20934,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_20920,c_81]) ).
tcf(c_20935,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_20920,c_80]) ).
tcf(c_20936,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xn,xr),sz00)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20920,c_78]) ).
tcf(c_20937,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20920,c_75]) ).
tcf(c_20938,plain,
( iLess0(sz00,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20920,c_94]) ).
tcf(c_20939,plain,
( iLess0(sz00,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20938,c_49,c_20734]) ).
tcf(c_20942,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_20937,c_49,c_20734]) ).
tcf(c_20943,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xn,xr),sz00)) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_20936,c_49,c_20734]) ).
tcf(c_20944,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20935,c_49,c_20734]) ).
tcf(c_20947,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20934,c_49,c_20734]) ).
tcf(c_20957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20294,c_91]) ).
tcf(c_20958,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20294,c_91]) ).
tcf(c_20962,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(X0,sdtpldt0(xp,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20294,c_69]) ).
tcf(c_20963,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20962,c_20231,c_49,c_20229]) ).
tcf(c_20967,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20958,c_20231,c_49,c_20229]) ).
tcf(c_20972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20957,c_20231,c_49,c_20229]) ).
tcf(c_20980,plain,
( doDivides0(sdtpldt0(xp,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20295,c_178]) ).
tcf(c_20985,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(sdtpldt0(xp,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20295,c_68]) ).
tcf(c_20986,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20295,c_89]) ).
tcf(c_20987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20295,c_89]) ).
tcf(c_20989,plain,
doDivides0(sdtpldt0(xp,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_20980,c_49,c_20229]) ).
tcf(c_20990,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20985,c_20231,c_49,c_20229]) ).
tcf(c_20994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xn),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20987,c_20231,c_49,c_20229]) ).
tcf(c_20999,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20986,c_20231,c_49,c_20229]) ).
tcf(c_21004,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xn))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20989,c_105]) ).
tcf(c_21005,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xn),sdtsldt0(sz00,sdtpldt0(xp,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20989,c_100]) ).
tcf(c_21007,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20989,c_101]) ).
tcf(c_21008,plain,
( ( sdtasdt0(sdtpldt0(xp,xn),sK1(sdtpldt0(xp,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20989,c_97]) ).
tcf(c_21010,plain,
sdtasdt0(sdtpldt0(xp,xn),sK1(sdtpldt0(xp,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21008,c_49,c_20229]) ).
tcf(c_21011,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21007,c_49,c_20229]) ).
tcf(c_21015,plain,
sdtasdt0(sdtpldt0(xp,xn),sdtsldt0(sz00,sdtpldt0(xp,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21005,c_20231,c_49,c_20229]) ).
tcf(c_21016,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xn))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21004,c_20231,c_49,c_20229]) ).
tcf(c_21026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20880,c_91]) ).
tcf(c_21027,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20880,c_91]) ).
tcf(c_21031,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20880,c_69]) ).
tcf(c_21032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21031,c_20739,c_49,c_20734]) ).
tcf(c_21036,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21027,c_20739,c_49,c_20734]) ).
tcf(c_21041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21026,c_20739,c_49,c_20734]) ).
tcf(c_21049,plain,
( doDivides0(sdtpldt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20881,c_178]) ).
tcf(c_21054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20881,c_68]) ).
tcf(c_21055,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20881,c_89]) ).
tcf(c_21056,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20881,c_89]) ).
tcf(c_21058,plain,
doDivides0(sdtpldt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_21049,c_49,c_20734]) ).
tcf(c_21059,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21054,c_20739,c_49,c_20734]) ).
tcf(c_21063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21056,c_20739,c_49,c_20734]) ).
tcf(c_21068,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21055,c_20739,c_49,c_20734]) ).
tcf(c_21073,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21058,c_105]) ).
tcf(c_21074,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sz00,sdtpldt0(xn,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21058,c_100]) ).
tcf(c_21076,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21058,c_101]) ).
tcf(c_21077,plain,
( ( sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21058,c_97]) ).
tcf(c_21079,plain,
sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21077,c_49,c_20734]) ).
tcf(c_21080,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21076,c_49,c_20734]) ).
tcf(c_21084,plain,
sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sz00,sdtpldt0(xn,xr))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21074,c_20739,c_49,c_20734]) ).
tcf(c_21085,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21073,c_20739,c_49,c_20734]) ).
tcf(c_21165,plain,
( doDivides0(sz10,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19921,c_178]) ).
tcf(c_21167,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19921,c_93]) ).
tcf(c_21168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19921,c_91]) ).
tcf(c_21169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19921,c_91]) ).
tcf(c_21170,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19921,c_68]) ).
tcf(c_21171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_19921,c_89]) ).
tcf(c_21172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19921,c_89]) ).
tcf(c_21173,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19921,c_69]) ).
tcf(c_21174,plain,
doDivides0(sz10,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_21165,c_50,c_19851]) ).
tcf(c_21175,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_21167,c_19856,c_50,c_19851]) ).
tcf(c_21176,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21170,c_51,c_50,c_19851]) ).
tcf(c_21180,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21173,c_19856,c_50,c_19851]) ).
tcf(c_21184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21172,c_51,c_50,c_19851]) ).
tcf(c_21189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21171,c_51,c_50,c_19851]) ).
tcf(c_21194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21169,c_19856,c_50,c_19851]) ).
tcf(c_21199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21168,c_19856,c_50,c_19851]) ).
tcf(c_21208,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21174,c_105]) ).
tcf(c_21209,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21174,c_100]) ).
tcf(c_21211,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_21174,c_101]) ).
tcf(c_21212,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21174,c_97]) ).
tcf(c_21215,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21212,c_50,c_19851]) ).
tcf(c_21216,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21211,c_50,c_19851]) ).
tcf(c_21220,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21209,c_51,c_50,c_19851]) ).
tcf(c_21221,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21208,c_51,c_50,c_19851]) ).
tcf(c_21225,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_21175,c_81]) ).
tcf(c_21226,plain,
( ( sdtpldt0(xn,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz10) ),
inference(superposition,[status(thm)],[c_21175,c_80]) ).
tcf(c_21227,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21175,c_78]) ).
tcf(c_21228,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21175,c_75]) ).
tcf(c_21229,plain,
( iLess0(sz10,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21175,c_94]) ).
tcf(c_21231,plain,
( iLess0(sz10,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21229,c_50,c_19851]) ).
tcf(c_21234,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21228,c_50,c_19851]) ).
tcf(c_21235,plain,
sdtpldt0(sz10,sdtmndt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21227,c_50,c_19851]) ).
tcf(c_21236,plain,
( ( sdtpldt0(xn,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21226,c_50,c_19851]) ).
tcf(c_21239,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21225,c_50,c_19851]) ).
tcf(c_21247,plain,
( doDivides0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19922,c_178]) ).
tcf(c_21249,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19922,c_93]) ).
tcf(c_21250,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19922,c_91]) ).
tcf(c_21251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_19922,c_91]) ).
tcf(c_21252,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19922,c_68]) ).
tcf(c_21253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19922,c_89]) ).
tcf(c_21254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19922,c_89]) ).
tcf(c_21255,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19922,c_69]) ).
tcf(c_21256,plain,
doDivides0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_21247,c_50,c_19851]) ).
tcf(c_21257,plain,
sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_21249,c_51,c_50,c_19851]) ).
tcf(c_21258,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21255,c_51,c_50,c_19851]) ).
tcf(c_21262,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21252,c_19856,c_50,c_19851]) ).
tcf(c_21266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21254,c_19856,c_50,c_19851]) ).
tcf(c_21271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21253,c_19856,c_50,c_19851]) ).
tcf(c_21276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21251,c_51,c_50,c_19851]) ).
tcf(c_21281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21250,c_51,c_50,c_19851]) ).
tcf(c_21290,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21256,c_105]) ).
tcf(c_21291,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21256,c_100]) ).
tcf(c_21294,plain,
( ( sdtasdt0(sdtpldt0(xn,xm),sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21256,c_97]) ).
tcf(c_21296,plain,
( doDivides0(sdtpldt0(xn,xm),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_21256,c_103]) ).
tcf(c_21297,plain,
sdtasdt0(sdtpldt0(xn,xm),sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21294,c_19851]) ).
tcf(c_21298,plain,
( doDivides0(sdtpldt0(xn,xm),xm)
| ~ doDivides0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21296,c_117,c_116,c_19851]) ).
tcf(c_21301,plain,
sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21291,c_19856,c_19851]) ).
tcf(c_21302,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21290,c_19856,c_19851]) ).
tcf(c_21460,plain,
( ( sdtpldt0(sdtpldt0(xn,xm),sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21257,c_78]) ).
tcf(c_21461,plain,
( ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_21257,c_75]) ).
tcf(c_21463,plain,
sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21461,c_19851]) ).
tcf(c_21464,plain,
sdtpldt0(sdtpldt0(xn,xm),sdtmndt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_21460,c_19851]) ).
tcf(c_21465,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_19923,c_119]) ).
tcf(c_21472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19923,c_87]) ).
tcf(c_21475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19923,c_87]) ).
tcf(c_21476,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19923,c_66]) ).
tcf(c_21477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_19923,c_85]) ).
tcf(c_21478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19923,c_85]) ).
tcf(c_21479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19923,c_67]) ).
tcf(c_21480,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21479,c_49,c_19851]) ).
tcf(c_21484,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21476,c_49,c_19851]) ).
tcf(c_21488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21475,c_49,c_19851]) ).
tcf(c_21493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21472,c_49,c_19851]) ).
tcf(c_21498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21478,c_49,c_19851]) ).
tcf(c_21503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21477,c_49,c_19851]) ).
tcf(c_21511,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_19924,c_119]) ).
tcf(c_21519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19924,c_87]) ).
tcf(c_21520,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19924,c_103]) ).
tcf(c_21522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_19924,c_87]) ).
tcf(c_21523,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19924,c_66]) ).
tcf(c_21524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19924,c_85]) ).
tcf(c_21525,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_19924,c_85]) ).
tcf(c_21526,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_19924,c_67]) ).
tcf(c_21527,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21520,c_49,c_19851]) ).
tcf(c_21531,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21526,c_49,c_19851]) ).
tcf(c_21535,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21523,c_49,c_19851]) ).
tcf(c_21539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21525,c_49,c_19851]) ).
tcf(c_21544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21524,c_49,c_19851]) ).
tcf(c_21549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21522,c_49,c_19851]) ).
tcf(c_21554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21519,c_49,c_19851]) ).
tcf(c_21563,plain,
( doDivides0(sz10,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20296,c_178]) ).
tcf(c_21566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20296,c_91]) ).
tcf(c_21567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20296,c_91]) ).
tcf(c_21568,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_20296,c_68]) ).
tcf(c_21569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20296,c_89]) ).
tcf(c_21570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xn))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20296,c_89]) ).
tcf(c_21571,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(X0,sdtpldt0(xp,xn)) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_20296,c_69]) ).
tcf(c_21572,plain,
doDivides0(sz10,sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_21563,c_50,c_20229]) ).
tcf(c_21573,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21568,c_51,c_50,c_20229]) ).
tcf(c_21577,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xn)) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21571,c_20231,c_50,c_20229]) ).
tcf(c_21581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21570,c_51,c_50,c_20229]) ).
tcf(c_21586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21569,c_51,c_50,c_20229]) ).
tcf(c_21591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21567,c_20231,c_50,c_20229]) ).
tcf(c_21596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21566,c_20231,c_50,c_20229]) ).
tcf(c_21605,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xn),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_21572,c_105]) ).
tcf(c_21606,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xn),sz10)) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_21572,c_100]) ).
tcf(c_21608,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ doDivides0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_21572,c_101]) ).
tcf(c_21609,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_21572,c_97]) ).
tcf(c_21612,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21609,c_50,c_20229]) ).
tcf(c_21613,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21608,c_50,c_20229]) ).
tcf(c_21617,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xn),sz10)) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21606,c_51,c_50,c_20229]) ).
tcf(c_21618,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xn),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21605,c_51,c_50,c_20229]) ).
tcf(c_21625,plain,
( doDivides0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20297,c_178]) ).
tcf(c_21627,plain,
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20297,c_93]) ).
tcf(c_21628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xn))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20297,c_91]) ).
tcf(c_21629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20297,c_91]) ).
tcf(c_21630,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(sdtpldt0(xp,xn),X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_20297,c_68]) ).
tcf(c_21631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20297,c_89]) ).
tcf(c_21632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20297,c_89]) ).
tcf(c_21633,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_20297,c_69]) ).
tcf(c_21634,plain,
doDivides0(sdtpldt0(xp,xn),sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_21625,c_50,c_20229]) ).
tcf(c_21635,plain,
sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_21627,c_51,c_50,c_20229]) ).
tcf(c_21636,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21633,c_51,c_50,c_20229]) ).
tcf(c_21640,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xn),X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21630,c_20231,c_50,c_20229]) ).
tcf(c_21644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21632,c_20231,c_50,c_20229]) ).
tcf(c_21649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21631,c_20231,c_50,c_20229]) ).
tcf(c_21654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21629,c_51,c_50,c_20229]) ).
tcf(c_21659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21628,c_51,c_50,c_20229]) ).
tcf(c_21668,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_21634,c_105]) ).
tcf(c_21669,plain,
( ( sdtpldt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xn),sdtsldt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_21634,c_100]) ).
tcf(c_21672,plain,
( ( sdtasdt0(sdtpldt0(xp,xn),sK1(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_21634,c_97]) ).
tcf(c_21674,plain,
( doDivides0(sdtpldt0(xp,xn),xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ doDivides0(sdtpldt0(xp,xn),xp) ),
inference(superposition,[status(thm)],[c_21634,c_103]) ).
tcf(c_21675,plain,
sdtasdt0(sdtpldt0(xp,xn),sK1(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21672,c_20229]) ).
tcf(c_21676,plain,
( doDivides0(sdtpldt0(xp,xn),xn)
| ~ doDivides0(sdtpldt0(xp,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21674,c_118,c_116,c_20229]) ).
tcf(c_21679,plain,
sdtasdt0(sdtpldt0(xp,xn),sdtsldt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21669,c_20231,c_20229]) ).
tcf(c_21680,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xn)),sdtpldt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21668,c_20231,c_20229]) ).
tcf(c_21746,plain,
( ( sdtpldt0(sdtpldt0(xp,xn),sdtmndt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_21635,c_78]) ).
tcf(c_21747,plain,
( ( sdtpldt0(sdtpldt0(xp,xn),sK0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn) )
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_21635,c_75]) ).
tcf(c_21749,plain,
sdtpldt0(sdtpldt0(xp,xn),sK0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21747,c_20229]) ).
tcf(c_21750,plain,
sdtpldt0(sdtpldt0(xp,xn),sdtmndt0(sdtpldt0(xp,xn),sdtpldt0(xp,xn))) = sdtpldt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_21746,c_20229]) ).
tcf(c_21751,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xp,xn)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_20298,c_119]) ).
tcf(c_21758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20298,c_87]) ).
tcf(c_21761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20298,c_87]) ).
tcf(c_21762,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_20298,c_66]) ).
tcf(c_21763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20298,c_85]) ).
tcf(c_21764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20298,c_85]) ).
tcf(c_21765,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(X0,sdtpldt0(xp,xn)) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_20298,c_67]) ).
tcf(c_21766,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xn)) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21765,c_49,c_20229]) ).
tcf(c_21770,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21762,c_49,c_20229]) ).
tcf(c_21774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sdtpldt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21761,c_49,c_20229]) ).
tcf(c_21779,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xn)),sdtpldt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21758,c_49,c_20229]) ).
tcf(c_21784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21764,c_49,c_20229]) ).
tcf(c_21789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21763,c_49,c_20229]) ).
tcf(c_21797,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xp,xn))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xp,xn),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_20299,c_119]) ).
tcf(c_21805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20299,c_87]) ).
tcf(c_21806,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20299,c_103]) ).
tcf(c_21808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_20299,c_87]) ).
tcf(c_21809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(sdtpldt0(xp,xn),X0) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_20299,c_66]) ).
tcf(c_21810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20299,c_85]) ).
tcf(c_21811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_20299,c_85]) ).
tcf(c_21812,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_20299,c_67]) ).
tcf(c_21813,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21806,c_49,c_20229]) ).
tcf(c_21817,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21812,c_49,c_20229]) ).
tcf(c_21821,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xn),X0) != sdtpldt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21809,c_49,c_20229]) ).
tcf(c_21825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xn),X0),sdtpldt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21811,c_49,c_20229]) ).
tcf(c_21830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(sdtpldt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21810,c_49,c_20229]) ).
tcf(c_21835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21808,c_49,c_20229]) ).
tcf(c_21840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xn))
| ( sdtpldt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21805,c_49,c_20229]) ).
tcf(c_21849,plain,
( doDivides0(sz10,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20882,c_178]) ).
tcf(c_21851,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20882,c_93]) ).
tcf(c_21852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20882,c_91]) ).
tcf(c_21853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20882,c_91]) ).
tcf(c_21854,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_20882,c_68]) ).
tcf(c_21855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_20882,c_89]) ).
tcf(c_21856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20882,c_89]) ).
tcf(c_21857,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_20882,c_69]) ).
tcf(c_21858,plain,
doDivides0(sz10,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21849,c_50,c_20734]) ).
tcf(c_21859,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21851,c_20739,c_50,c_20734]) ).
tcf(c_21860,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21854,c_51,c_50,c_20734]) ).
tcf(c_21864,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21857,c_20739,c_50,c_20734]) ).
tcf(c_21868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21856,c_51,c_50,c_20734]) ).
tcf(c_21873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21855,c_51,c_50,c_20734]) ).
tcf(c_21878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21853,c_20739,c_50,c_20734]) ).
tcf(c_21883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21852,c_20739,c_50,c_20734]) ).
tcf(c_21917,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21858,c_105]) ).
tcf(c_21918,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21858,c_100]) ).
tcf(c_21920,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_21858,c_101]) ).
tcf(c_21921,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21858,c_97]) ).
tcf(c_21924,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21921,c_50,c_20734]) ).
tcf(c_21925,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21920,c_50,c_20734]) ).
tcf(c_21929,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21918,c_51,c_50,c_20734]) ).
tcf(c_21930,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21917,c_51,c_50,c_20734]) ).
tcf(c_21934,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_21859,c_81]) ).
tcf(c_21935,plain,
( ( sdtpldt0(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_21859,c_80]) ).
tcf(c_21936,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtpldt0(xn,xr),sz10)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21859,c_78]) ).
tcf(c_21937,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21859,c_75]) ).
tcf(c_21938,plain,
( iLess0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21859,c_94]) ).
tcf(c_21940,plain,
( iLess0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21938,c_50,c_20734]) ).
tcf(c_21943,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21937,c_50,c_20734]) ).
tcf(c_21944,plain,
sdtpldt0(sz10,sdtmndt0(sdtpldt0(xn,xr),sz10)) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21936,c_50,c_20734]) ).
tcf(c_21945,plain,
( ( sdtpldt0(xn,xr) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21935,c_50,c_20734]) ).
tcf(c_21948,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21934,c_50,c_20734]) ).
tcf(c_22003,plain,
( doDivides0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20883,c_178]) ).
tcf(c_22005,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20883,c_93]) ).
tcf(c_22006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20883,c_91]) ).
tcf(c_22007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_20883,c_91]) ).
tcf(c_22008,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_20883,c_68]) ).
tcf(c_22009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20883,c_89]) ).
tcf(c_22010,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20883,c_89]) ).
tcf(c_22011,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_20883,c_69]) ).
tcf(c_22012,plain,
doDivides0(sdtpldt0(xn,xr),sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_22003,c_50,c_20734]) ).
tcf(c_22013,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_22005,c_51,c_50,c_20734]) ).
tcf(c_22014,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22011,c_51,c_50,c_20734]) ).
tcf(c_22018,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22008,c_20739,c_50,c_20734]) ).
tcf(c_22022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22010,c_20739,c_50,c_20734]) ).
tcf(c_22027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22009,c_20739,c_50,c_20734]) ).
tcf(c_22032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22007,c_51,c_50,c_20734]) ).
tcf(c_22037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22006,c_51,c_50,c_20734]) ).
tcf(c_22106,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22012,c_105]) ).
tcf(c_22107,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22012,c_100]) ).
tcf(c_22110,plain,
( ( sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22012,c_97]) ).
tcf(c_22112,plain,
( doDivides0(sdtpldt0(xn,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_22012,c_103]) ).
tcf(c_22113,plain,
sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_22110,c_20734]) ).
tcf(c_22114,plain,
( doDivides0(sdtpldt0(xn,xr),xr)
| ~ doDivides0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22112,c_4987,c_116,c_20734]) ).
tcf(c_22117,plain,
sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_22107,c_20739,c_20734]) ).
tcf(c_22118,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22106,c_20739,c_20734]) ).
tcf(c_22124,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22013,c_78]) ).
tcf(c_22125,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22013,c_75]) ).
tcf(c_22127,plain,
sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_22125,c_20734]) ).
tcf(c_22128,plain,
sdtpldt0(sdtpldt0(xn,xr),sdtmndt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_22124,c_20734]) ).
tcf(c_22129,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_20884,c_119]) ).
tcf(c_22136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20884,c_87]) ).
tcf(c_22139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20884,c_87]) ).
tcf(c_22140,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_20884,c_66]) ).
tcf(c_22141,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_20884,c_85]) ).
tcf(c_22142,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20884,c_85]) ).
tcf(c_22143,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_20884,c_67]) ).
tcf(c_22144,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22143,c_49,c_20734]) ).
tcf(c_22148,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22140,c_49,c_20734]) ).
tcf(c_22152,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22139,c_49,c_20734]) ).
tcf(c_22157,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22136,c_49,c_20734]) ).
tcf(c_22162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22142,c_49,c_20734]) ).
tcf(c_22167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22141,c_49,c_20734]) ).
tcf(c_22192,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_20885,c_119]) ).
tcf(c_22200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20885,c_87]) ).
tcf(c_22201,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20885,c_103]) ).
tcf(c_22203,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_20885,c_87]) ).
tcf(c_22204,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_20885,c_66]) ).
tcf(c_22205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20885,c_85]) ).
tcf(c_22206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20885,c_85]) ).
tcf(c_22207,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_20885,c_67]) ).
tcf(c_22208,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22201,c_49,c_20734]) ).
tcf(c_22212,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22207,c_49,c_20734]) ).
tcf(c_22216,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22204,c_49,c_20734]) ).
tcf(c_22220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22206,c_49,c_20734]) ).
tcf(c_22225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22205,c_49,c_20734]) ).
tcf(c_22230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22203,c_49,c_20734]) ).
tcf(c_22235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22200,c_49,c_20734]) ).
tcf(c_22247,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4840]) ).
tcf(c_22248,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4840]) ).
tcf(c_22249,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xm) = sdtpldt0(xm,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4840]) ).
tcf(c_22250,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xm) = sdtpldt0(xm,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4840]) ).
tcf(c_22251,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xm) = sdtpldt0(xm,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4840]) ).
tcf(c_22252,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xm) = sdtpldt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4840]) ).
tcf(c_22253,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),xm) = sdtpldt0(xm,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4840]) ).
tcf(c_22254,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),xm) = sdtpldt0(xm,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4840]) ).
tcf(c_22257,plain,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_118,c_4840]) ).
tcf(c_22258,plain,
sdtpldt0(xm,xr) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_4987,c_4840]) ).
tcf(c_22259,plain,
sdtpldt0(sdtpldt0(sz10,xn),xm) = sdtpldt0(xm,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4840]) ).
tcf(c_22260,plain,
sdtpldt0(sdtpldt0(sz10,xm),xm) = sdtpldt0(xm,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4840]) ).
tcf(c_22261,plain,
sdtpldt0(sdtpldt0(sz10,xp),xm) = sdtpldt0(xm,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4840]) ).
tcf(c_22262,plain,
sdtpldt0(sdtpldt0(sz10,xr),xm) = sdtpldt0(xm,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4840]) ).
tcf(c_22263,plain,
sdtpldt0(sdtpldt0(xn,xm),xm) = sdtpldt0(xm,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4840]) ).
tcf(c_22264,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),xm) = sdtpldt0(xm,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4840]) ).
tcf(c_22265,plain,
sdtpldt0(sdtpldt0(xp,xn),xm) = sdtpldt0(xm,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4840]) ).
tcf(c_22266,plain,
sdtpldt0(sdtpldt0(xn,xr),xm) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4840]) ).
tcf(c_22299,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(demodulation,[status(thm)],[c_128,c_22258]) ).
tcf(c_22300,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xm,xr),xp),
inference(demodulation,[status(thm)],[c_127,c_22258]) ).
tcf(c_22359,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_22257,c_119]) ).
tcf(c_22362,plain,
( ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_22257,c_71]) ).
tcf(c_22363,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_22257,c_70]) ).
tcf(c_22364,plain,
( sdtlseqdt0(xm,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_22257,c_181]) ).
tcf(c_22365,plain,
( aNaturalNumber0(sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_22257,c_52]) ).
tcf(c_22366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_22257,c_87]) ).
tcf(c_22367,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22257,c_103]) ).
tcf(c_22368,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_22257,c_102]) ).
tcf(c_22369,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_22257,c_87]) ).
tcf(c_22370,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22257,c_66]) ).
tcf(c_22371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_22257,c_85]) ).
tcf(c_22372,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xp,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_22257,c_85]) ).
tcf(c_22373,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22257,c_67]) ).
tcf(c_22374,plain,
aNaturalNumber0(sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_22365,c_118,c_117]) ).
tcf(c_22375,plain,
sdtlseqdt0(xm,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_22364,c_118,c_117]) ).
tcf(c_22379,plain,
sdtpldt0(xp,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_22362,c_19188,c_118,c_117]) ).
tcf(c_22380,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22373,c_118,c_117]) ).
tcf(c_22384,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22370,c_118,c_117]) ).
tcf(c_22388,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22368,c_118,c_117]) ).
tcf(c_22393,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22367,c_118,c_117]) ).
tcf(c_22398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xp,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22372,c_118,c_117]) ).
tcf(c_22403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22371,c_118,c_117]) ).
tcf(c_22408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22369,c_118,c_117]) ).
tcf(c_22413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22366,c_118,c_117]) ).
tcf(c_22418,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22359,c_118,c_117]) ).
tcf(c_22471,plain,
sdtpldt0(sdtpldt0(xp,xm),xm) = sdtpldt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4840]) ).
tcf(c_22472,plain,
sdtpldt0(sdtpldt0(xp,xm),xn) = sdtpldt0(xn,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4839]) ).
tcf(c_22473,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtasdt0(X1,sdtpldt0(xp,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22374,c_65]) ).
tcf(c_22474,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtasdt0(sdtpldt0(xp,xm),X1)) = sdtasdt0(sdtpldt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22374,c_64]) ).
tcf(c_22475,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xm),X0),X1) = sdtasdt0(sdtpldt0(xp,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22374,c_59]) ).
tcf(c_22476,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),X0),X1) = sdtpldt0(sdtpldt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22374,c_55]) ).
tcf(c_22477,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22374,c_191]) ).
tcf(c_22478,plain,
sdtpldt0(sdtpldt0(xp,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4836]) ).
tcf(c_22479,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4835]) ).
tcf(c_22480,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22374,c_184]) ).
tcf(c_22481,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xm),X0) = sdtasdt0(X0,sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22374,c_58]) ).
tcf(c_22482,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xm),X0) = sdtpldt0(X0,sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22374,c_54]) ).
tcf(c_22483,plain,
sdtasdt0(sz00,sdtpldt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_22374,c_63]) ).
tcf(c_22484,plain,
sdtasdt0(sdtpldt0(xp,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_22374,c_62]) ).
tcf(c_22485,plain,
sdtasdt0(sz10,sdtpldt0(xp,xm)) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_22374,c_61]) ).
tcf(c_22486,plain,
sdtasdt0(sdtpldt0(xp,xm),sz10) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_22374,c_60]) ).
tcf(c_22487,plain,
sdtpldt0(sz00,sdtpldt0(xp,xm)) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_22374,c_57]) ).
tcf(c_22488,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_22374,c_56]) ).
tcf(c_22521,plain,
( aNaturalNumber0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_22727,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_22375,c_81]) ).
tcf(c_22728,plain,
( ( sdtpldt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xm) ),
inference(superposition,[status(thm)],[c_22375,c_80]) ).
tcf(c_22729,plain,
( ( sdtpldt0(xm,sdtmndt0(sdtpldt0(xp,xm),xm)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22375,c_78]) ).
tcf(c_22730,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22375,c_75]) ).
tcf(c_22731,plain,
( iLess0(xm,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22375,c_94]) ).
tcf(c_22732,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22375,c_7088]) ).
tcf(c_22733,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_22732,c_22374]) ).
tcf(c_22734,plain,
( iLess0(xm,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22731,c_117,c_22374]) ).
tcf(c_22737,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_22730,c_117,c_22374]) ).
tcf(c_22738,plain,
sdtpldt0(xm,sdtmndt0(sdtpldt0(xp,xm),xm)) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_22729,c_117,c_22374]) ).
tcf(c_22739,plain,
( ( sdtpldt0(xp,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22728,c_117,c_22374]) ).
tcf(c_22742,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22727,c_117,c_22374]) ).
tcf(c_22747,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_22733,c_81]) ).
tcf(c_22748,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz00) ),
inference(superposition,[status(thm)],[c_22733,c_80]) ).
tcf(c_22749,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xm),sz00)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22733,c_78]) ).
tcf(c_22750,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22733,c_75]) ).
tcf(c_22751,plain,
( iLess0(sz00,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22733,c_94]) ).
tcf(c_22752,plain,
( iLess0(sz00,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22751,c_49,c_22374]) ).
tcf(c_22755,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_22750,c_49,c_22374]) ).
tcf(c_22756,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xp,xm),sz00)) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_22749,c_49,c_22374]) ).
tcf(c_22757,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22748,c_49,c_22374]) ).
tcf(c_22760,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22747,c_49,c_22374]) ).
tcf(c_22816,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_22258,c_119]) ).
tcf(c_22819,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_22258,c_71]) ).
tcf(c_22820,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_22258,c_70]) ).
tcf(c_22821,plain,
( sdtlseqdt0(xr,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_22258,c_181]) ).
tcf(c_22822,plain,
( aNaturalNumber0(sdtpldt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_22258,c_52]) ).
tcf(c_22823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_22258,c_87]) ).
tcf(c_22824,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22258,c_103]) ).
tcf(c_22825,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_22258,c_102]) ).
tcf(c_22826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,xm))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_22258,c_87]) ).
tcf(c_22827,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22258,c_66]) ).
tcf(c_22828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xr,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_22258,c_85]) ).
tcf(c_22829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xm,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_22258,c_85]) ).
tcf(c_22830,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22258,c_67]) ).
tcf(c_22831,plain,
aNaturalNumber0(sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_22822,c_4987,c_117]) ).
tcf(c_22832,plain,
sdtlseqdt0(xr,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_22821,c_4987,c_117]) ).
tcf(c_22833,plain,
( ( sz00 = xr )
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22820,c_4987,c_117]) ).
tcf(c_22836,plain,
( ( sz00 = xm )
| ( sdtpldt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22819,c_4987,c_117]) ).
tcf(c_22839,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22830,c_4987,c_117]) ).
tcf(c_22843,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22827,c_4987,c_117]) ).
tcf(c_22847,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22825,c_4987,c_117]) ).
tcf(c_22852,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22824,c_4987,c_117]) ).
tcf(c_22857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xm,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22829,c_4987,c_117]) ).
tcf(c_22862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xr,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22828,c_4987,c_117]) ).
tcf(c_22867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,xm))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22826,c_4987,c_117]) ).
tcf(c_22872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtpldt0(xm,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22823,c_4987,c_117]) ).
tcf(c_22877,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22816,c_4987,c_117]) ).
tcf(c_22890,plain,
sdtpldt0(sdtpldt0(xm,xr),xm) = sdtpldt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4840]) ).
tcf(c_22891,plain,
sdtpldt0(sdtpldt0(xm,xr),xn) = sdtpldt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4839]) ).
tcf(c_22892,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sdtasdt0(X1,sdtpldt0(xm,xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22831,c_65]) ).
tcf(c_22893,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xr),X0),sdtasdt0(sdtpldt0(xm,xr),X1)) = sdtasdt0(sdtpldt0(xm,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22831,c_64]) ).
tcf(c_22894,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xr),X0),X1) = sdtasdt0(sdtpldt0(xm,xr),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22831,c_59]) ).
tcf(c_22895,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xr),X0),X1) = sdtpldt0(sdtpldt0(xm,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22831,c_55]) ).
tcf(c_22896,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22831,c_191]) ).
tcf(c_22897,plain,
sdtpldt0(sdtpldt0(xm,xr),sz10) = sdtpldt0(sz10,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4836]) ).
tcf(c_22898,plain,
sdtpldt0(sdtpldt0(xm,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4835]) ).
tcf(c_22899,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22831,c_184]) ).
tcf(c_22900,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xr),X0) = sdtasdt0(X0,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22831,c_58]) ).
tcf(c_22901,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xr),X0) = sdtpldt0(X0,sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22831,c_54]) ).
tcf(c_22902,plain,
sdtasdt0(sz00,sdtpldt0(xm,xr)) = sz00,
inference(superposition,[status(thm)],[c_22831,c_63]) ).
tcf(c_22903,plain,
sdtasdt0(sdtpldt0(xm,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_22831,c_62]) ).
tcf(c_22904,plain,
sdtasdt0(sz10,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_22831,c_61]) ).
tcf(c_22905,plain,
sdtasdt0(sdtpldt0(xm,xr),sz10) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_22831,c_60]) ).
tcf(c_22906,plain,
sdtpldt0(sz00,sdtpldt0(xm,xr)) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_22831,c_57]) ).
tcf(c_22907,plain,
sdtpldt0(sdtpldt0(xm,xr),sz00) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_22831,c_56]) ).
tcf(c_22965,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_22832,c_81]) ).
tcf(c_22966,plain,
( ( sdtpldt0(xm,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),xr) ),
inference(superposition,[status(thm)],[c_22832,c_80]) ).
tcf(c_22967,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xm,xr),xr)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22832,c_78]) ).
tcf(c_22968,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22832,c_75]) ).
tcf(c_22969,plain,
( iLess0(xr,sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22832,c_94]) ).
tcf(c_22970,plain,
( sdtlseqdt0(sz00,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22832,c_7080]) ).
tcf(c_22971,plain,
sdtlseqdt0(sz00,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_22970,c_22831]) ).
tcf(c_22972,plain,
( iLess0(xr,sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22969,c_4987,c_22831]) ).
tcf(c_22975,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_22968,c_4987,c_22831]) ).
tcf(c_22976,plain,
sdtpldt0(xr,sdtmndt0(sdtpldt0(xm,xr),xr)) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_22967,c_4987,c_22831]) ).
tcf(c_22977,plain,
( ( sdtpldt0(xm,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xm,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22966,c_4987,c_22831]) ).
tcf(c_22980,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22965,c_4987,c_22831]) ).
tcf(c_22995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22483,c_91]) ).
tcf(c_22996,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22483,c_91]) ).
tcf(c_23000,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_22483,c_69]) ).
tcf(c_23001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23000,c_22379,c_49,c_22374]) ).
tcf(c_23005,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22996,c_22379,c_49,c_22374]) ).
tcf(c_23010,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22995,c_22379,c_49,c_22374]) ).
tcf(c_23018,plain,
( doDivides0(sdtpldt0(xp,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22484,c_178]) ).
tcf(c_23023,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_22484,c_68]) ).
tcf(c_23024,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22484,c_89]) ).
tcf(c_23025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22484,c_89]) ).
tcf(c_23027,plain,
doDivides0(sdtpldt0(xp,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_23018,c_49,c_22374]) ).
tcf(c_23028,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23023,c_22379,c_49,c_22374]) ).
tcf(c_23032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23025,c_22379,c_49,c_22374]) ).
tcf(c_23037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23024,c_22379,c_49,c_22374]) ).
tcf(c_23073,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23027,c_105]) ).
tcf(c_23074,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sz00,sdtpldt0(xp,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23027,c_100]) ).
tcf(c_23076,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23027,c_101]) ).
tcf(c_23077,plain,
( ( sdtasdt0(sdtpldt0(xp,xm),sK1(sdtpldt0(xp,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23027,c_97]) ).
tcf(c_23079,plain,
sdtasdt0(sdtpldt0(xp,xm),sK1(sdtpldt0(xp,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23077,c_49,c_22374]) ).
tcf(c_23080,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23076,c_49,c_22374]) ).
tcf(c_23084,plain,
sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sz00,sdtpldt0(xp,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23074,c_22379,c_49,c_22374]) ).
tcf(c_23085,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23073,c_22379,c_49,c_22374]) ).
tcf(c_23095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22902,c_91]) ).
tcf(c_23096,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22902,c_91]) ).
tcf(c_23100,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(X0,sdtpldt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_22902,c_69]) ).
tcf(c_23101,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23100,c_49,c_22831]) ).
tcf(c_23106,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23096,c_49,c_22831]) ).
tcf(c_23112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23095,c_49,c_22831]) ).
tcf(c_23118,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_22971,c_81]) ).
tcf(c_23119,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),sz00) ),
inference(superposition,[status(thm)],[c_22971,c_80]) ).
tcf(c_23120,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xr),sz00)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22971,c_78]) ).
tcf(c_23121,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22971,c_75]) ).
tcf(c_23122,plain,
( iLess0(sz00,sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22971,c_94]) ).
tcf(c_23123,plain,
( iLess0(sz00,sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23122,c_49,c_22831]) ).
tcf(c_23126,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23121,c_49,c_22831]) ).
tcf(c_23127,plain,
sdtpldt0(sz00,sdtmndt0(sdtpldt0(xm,xr),sz00)) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23120,c_49,c_22831]) ).
tcf(c_23128,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xm,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23119,c_49,c_22831]) ).
tcf(c_23131,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23118,c_49,c_22831]) ).
tcf(c_23246,plain,
( doDivides0(sdtpldt0(xm,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22903,c_178]) ).
tcf(c_23251,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_22903,c_68]) ).
tcf(c_23252,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22903,c_89]) ).
tcf(c_23253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22903,c_89]) ).
tcf(c_23255,plain,
doDivides0(sdtpldt0(xm,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_23246,c_49,c_22831]) ).
tcf(c_23256,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23251,c_49,c_22831]) ).
tcf(c_23261,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23253,c_49,c_22831]) ).
tcf(c_23267,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23252,c_49,c_22831]) ).
tcf(c_23273,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23255,c_105]) ).
tcf(c_23274,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xr),sdtsldt0(sz00,sdtpldt0(xm,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23255,c_100]) ).
tcf(c_23276,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23255,c_101]) ).
tcf(c_23277,plain,
( ( sdtasdt0(sdtpldt0(xm,xr),sK1(sdtpldt0(xm,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23255,c_97]) ).
tcf(c_23279,plain,
sdtasdt0(sdtpldt0(xm,xr),sK1(sdtpldt0(xm,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23277,c_49,c_22831]) ).
tcf(c_23280,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(xm,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23276,c_49,c_22831]) ).
tcf(c_23284,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xr),sdtsldt0(sz00,sdtpldt0(xm,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23274,c_49,c_22831]) ).
tcf(c_23287,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xm,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23273,c_49,c_22831]) ).
tcf(c_23295,plain,
( doDivides0(sz10,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22485,c_178]) ).
tcf(c_23297,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22485,c_93]) ).
tcf(c_23298,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22485,c_91]) ).
tcf(c_23299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22485,c_91]) ).
tcf(c_23300,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22485,c_68]) ).
tcf(c_23301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_22485,c_89]) ).
tcf(c_23302,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22485,c_89]) ).
tcf(c_23303,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22485,c_69]) ).
tcf(c_23304,plain,
doDivides0(sz10,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_23295,c_50,c_22374]) ).
tcf(c_23305,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_23297,c_22379,c_50,c_22374]) ).
tcf(c_23306,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23300,c_51,c_50,c_22374]) ).
tcf(c_23310,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23303,c_22379,c_50,c_22374]) ).
tcf(c_23314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23302,c_51,c_50,c_22374]) ).
tcf(c_23319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23301,c_51,c_50,c_22374]) ).
tcf(c_23324,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23299,c_22379,c_50,c_22374]) ).
tcf(c_23329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23298,c_22379,c_50,c_22374]) ).
tcf(c_23367,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23304,c_105]) ).
tcf(c_23368,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23304,c_100]) ).
tcf(c_23370,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_23304,c_101]) ).
tcf(c_23371,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23304,c_97]) ).
tcf(c_23374,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_23371,c_50,c_22374]) ).
tcf(c_23375,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23370,c_50,c_22374]) ).
tcf(c_23379,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_23368,c_51,c_50,c_22374]) ).
tcf(c_23380,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23367,c_51,c_50,c_22374]) ).
tcf(c_23384,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_23305,c_81]) ).
tcf(c_23385,plain,
( ( sdtpldt0(xp,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz10) ),
inference(superposition,[status(thm)],[c_23305,c_80]) ).
tcf(c_23386,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtpldt0(xp,xm),sz10)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23305,c_78]) ).
tcf(c_23387,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23305,c_75]) ).
tcf(c_23388,plain,
( iLess0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23305,c_94]) ).
tcf(c_23390,plain,
( iLess0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23388,c_50,c_22374]) ).
tcf(c_23393,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_23387,c_50,c_22374]) ).
tcf(c_23394,plain,
sdtpldt0(sz10,sdtmndt0(sdtpldt0(xp,xm),sz10)) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_23386,c_50,c_22374]) ).
tcf(c_23395,plain,
( ( sdtpldt0(xp,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23385,c_50,c_22374]) ).
tcf(c_23398,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23384,c_50,c_22374]) ).
tcf(c_23406,plain,
( doDivides0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22486,c_178]) ).
tcf(c_23408,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22486,c_93]) ).
tcf(c_23409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22486,c_91]) ).
tcf(c_23410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_22486,c_91]) ).
tcf(c_23411,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22486,c_68]) ).
tcf(c_23412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22486,c_89]) ).
tcf(c_23413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22486,c_89]) ).
tcf(c_23414,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22486,c_69]) ).
tcf(c_23415,plain,
doDivides0(sdtpldt0(xp,xm),sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_23406,c_50,c_22374]) ).
tcf(c_23416,plain,
sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_23408,c_51,c_50,c_22374]) ).
tcf(c_23417,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23414,c_51,c_50,c_22374]) ).
tcf(c_23421,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23411,c_22379,c_50,c_22374]) ).
tcf(c_23425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23413,c_22379,c_50,c_22374]) ).
tcf(c_23430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23412,c_22379,c_50,c_22374]) ).
tcf(c_23435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23410,c_51,c_50,c_22374]) ).
tcf(c_23440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23409,c_51,c_50,c_22374]) ).
tcf(c_23495,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23415,c_105]) ).
tcf(c_23496,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23415,c_100]) ).
tcf(c_23499,plain,
( ( sdtasdt0(sdtpldt0(xp,xm),sK1(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23415,c_97]) ).
tcf(c_23501,plain,
( doDivides0(sdtpldt0(xp,xm),xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(sdtpldt0(xp,xm),xp) ),
inference(superposition,[status(thm)],[c_23415,c_103]) ).
tcf(c_23502,plain,
sdtasdt0(sdtpldt0(xp,xm),sK1(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_23499,c_22374]) ).
tcf(c_23503,plain,
( doDivides0(sdtpldt0(xp,xm),xm)
| ~ doDivides0(sdtpldt0(xp,xm),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23501,c_118,c_117,c_22374]) ).
tcf(c_23506,plain,
sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_23496,c_22379,c_22374]) ).
tcf(c_23507,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23495,c_22379,c_22374]) ).
tcf(c_23517,plain,
( ( sdtpldt0(sdtpldt0(xp,xm),sdtmndt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23416,c_78]) ).
tcf(c_23518,plain,
( ( sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_23416,c_75]) ).
tcf(c_23520,plain,
sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_23518,c_22374]) ).
tcf(c_23521,plain,
sdtpldt0(sdtpldt0(xp,xm),sdtmndt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_23517,c_22374]) ).
tcf(c_23534,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xp,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_22487,c_119]) ).
tcf(c_23541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22487,c_87]) ).
tcf(c_23544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22487,c_87]) ).
tcf(c_23545,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22487,c_66]) ).
tcf(c_23546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_22487,c_85]) ).
tcf(c_23547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22487,c_85]) ).
tcf(c_23548,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22487,c_67]) ).
tcf(c_23549,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23548,c_49,c_22374]) ).
tcf(c_23553,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23545,c_49,c_22374]) ).
tcf(c_23557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23544,c_49,c_22374]) ).
tcf(c_23562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23541,c_49,c_22374]) ).
tcf(c_23567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23547,c_49,c_22374]) ).
tcf(c_23572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23546,c_49,c_22374]) ).
tcf(c_23580,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xp,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_22488,c_119]) ).
tcf(c_23588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22488,c_87]) ).
tcf(c_23589,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22488,c_103]) ).
tcf(c_23591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_22488,c_87]) ).
tcf(c_23592,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22488,c_66]) ).
tcf(c_23593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22488,c_85]) ).
tcf(c_23594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_22488,c_85]) ).
tcf(c_23595,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_22488,c_67]) ).
tcf(c_23596,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23589,c_49,c_22374]) ).
tcf(c_23600,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23595,c_49,c_22374]) ).
tcf(c_23604,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23592,c_49,c_22374]) ).
tcf(c_23608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23594,c_49,c_22374]) ).
tcf(c_23613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23593,c_49,c_22374]) ).
tcf(c_23618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23591,c_49,c_22374]) ).
tcf(c_23623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23588,c_49,c_22374]) ).
tcf(c_23660,plain,
( doDivides0(sz10,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22904,c_178]) ).
tcf(c_23662,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22904,c_93]) ).
tcf(c_23663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22904,c_91]) ).
tcf(c_23664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22904,c_91]) ).
tcf(c_23665,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22904,c_68]) ).
tcf(c_23666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_22904,c_89]) ).
tcf(c_23667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22904,c_89]) ).
tcf(c_23668,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(X0,sdtpldt0(xm,xr)) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22904,c_69]) ).
tcf(c_23669,plain,
doDivides0(sz10,sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_23660,c_50,c_22831]) ).
tcf(c_23670,plain,
( sdtlseqdt0(sz10,sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23662,c_50,c_22831]) ).
tcf(c_23673,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23665,c_51,c_50,c_22831]) ).
tcf(c_23677,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xm,xr)) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23668,c_50,c_22831]) ).
tcf(c_23682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23667,c_51,c_50,c_22831]) ).
tcf(c_23687,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(sz10,X0))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23666,c_51,c_50,c_22831]) ).
tcf(c_23692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23664,c_50,c_22831]) ).
tcf(c_23698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23663,c_50,c_22831]) ).
tcf(c_23712,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23669,c_105]) ).
tcf(c_23713,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,xr),sz10)) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23669,c_100]) ).
tcf(c_23715,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_23669,c_101]) ).
tcf(c_23716,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23669,c_97]) ).
tcf(c_23719,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23716,c_50,c_22831]) ).
tcf(c_23720,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23715,c_50,c_22831]) ).
tcf(c_23724,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xm,xr),sz10)) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23713,c_51,c_50,c_22831]) ).
tcf(c_23725,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23712,c_51,c_50,c_22831]) ).
tcf(c_23732,plain,
( doDivides0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22905,c_178]) ).
tcf(c_23734,plain,
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22905,c_93]) ).
tcf(c_23735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22905,c_91]) ).
tcf(c_23736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_22905,c_91]) ).
tcf(c_23737,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22905,c_68]) ).
tcf(c_23738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22905,c_89]) ).
tcf(c_23739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22905,c_89]) ).
tcf(c_23740,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22905,c_69]) ).
tcf(c_23741,plain,
doDivides0(sdtpldt0(xm,xr),sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_23732,c_50,c_22831]) ).
tcf(c_23742,plain,
sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_23734,c_51,c_50,c_22831]) ).
tcf(c_23743,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23740,c_51,c_50,c_22831]) ).
tcf(c_23747,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23737,c_50,c_22831]) ).
tcf(c_23752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23739,c_50,c_22831]) ).
tcf(c_23758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23738,c_50,c_22831]) ).
tcf(c_23764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtasdt0(X0,sz10))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23736,c_51,c_50,c_22831]) ).
tcf(c_23769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23735,c_51,c_50,c_22831]) ).
tcf(c_23852,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23741,c_105]) ).
tcf(c_23853,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xr),sdtsldt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23741,c_100]) ).
tcf(c_23856,plain,
( ( sdtasdt0(sdtpldt0(xm,xr),sK1(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23741,c_97]) ).
tcf(c_23858,plain,
( doDivides0(sdtpldt0(xm,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(sdtpldt0(xm,xr),xm) ),
inference(superposition,[status(thm)],[c_23741,c_103]) ).
tcf(c_23859,plain,
sdtasdt0(sdtpldt0(xm,xr),sK1(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23856,c_22831]) ).
tcf(c_23860,plain,
( doDivides0(sdtpldt0(xm,xr),xr)
| ~ doDivides0(sdtpldt0(xm,xr),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23858,c_4987,c_117,c_22831]) ).
tcf(c_23863,plain,
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xm,xr),sdtsldt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23853,c_22831]) ).
tcf(c_23866,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xm,xr)),sdtpldt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23852,c_22831]) ).
tcf(c_23981,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23742,c_78]) ).
tcf(c_23982,plain,
( ( sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr) )
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_23742,c_75]) ).
tcf(c_23984,plain,
sdtpldt0(sdtpldt0(xm,xr),sK0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23982,c_22831]) ).
tcf(c_23985,plain,
sdtpldt0(sdtpldt0(xm,xr),sdtmndt0(sdtpldt0(xm,xr),sdtpldt0(xm,xr))) = sdtpldt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_23981,c_22831]) ).
tcf(c_23986,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xm,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_22906,c_119]) ).
tcf(c_23993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22906,c_87]) ).
tcf(c_23996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22906,c_87]) ).
tcf(c_23997,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22906,c_66]) ).
tcf(c_23998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_22906,c_85]) ).
tcf(c_23999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22906,c_85]) ).
tcf(c_24000,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(X0,sdtpldt0(xm,xr)) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22906,c_67]) ).
tcf(c_24001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xm,xr)) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24000,c_49,c_22831]) ).
tcf(c_24005,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23997,c_49,c_22831]) ).
tcf(c_24009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sdtpldt0(xm,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23996,c_49,c_22831]) ).
tcf(c_24014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xm,xr)),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23993,c_49,c_22831]) ).
tcf(c_24019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23999,c_49,c_22831]) ).
tcf(c_24024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23998,c_49,c_22831]) ).
tcf(c_24032,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xm,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xm,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_22907,c_119]) ).
tcf(c_24040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22907,c_87]) ).
tcf(c_24041,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22907,c_103]) ).
tcf(c_24043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_22907,c_87]) ).
tcf(c_24044,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22907,c_66]) ).
tcf(c_24045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22907,c_85]) ).
tcf(c_24046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_22907,c_85]) ).
tcf(c_24047,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_22907,c_67]) ).
tcf(c_24048,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24041,c_49,c_22831]) ).
tcf(c_24052,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24047,c_49,c_22831]) ).
tcf(c_24056,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xm,xr),X0) != sdtpldt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24044,c_49,c_22831]) ).
tcf(c_24060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),X0),sdtpldt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24046,c_49,c_22831]) ).
tcf(c_24065,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(sdtpldt0(xm,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24045,c_49,c_22831]) ).
tcf(c_24070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24043,c_49,c_22831]) ).
tcf(c_24075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xm,xr))
| ( sdtpldt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24040,c_49,c_22831]) ).
tcf(c_24161,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4841]) ).
tcf(c_24162,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4841]) ).
tcf(c_24163,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xp) = sdtpldt0(xp,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4841]) ).
tcf(c_24164,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xp) = sdtpldt0(xp,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4841]) ).
tcf(c_24165,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xp) = sdtpldt0(xp,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4841]) ).
tcf(c_24166,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xp) = sdtpldt0(xp,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4841]) ).
tcf(c_24167,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),xp) = sdtpldt0(xp,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4841]) ).
tcf(c_24168,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),xp) = sdtpldt0(xp,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4841]) ).
tcf(c_24172,plain,
sdtpldt0(xp,xr) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_4987,c_4841]) ).
tcf(c_24173,plain,
sdtpldt0(sdtpldt0(sz10,xn),xp) = sdtpldt0(xp,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4841]) ).
tcf(c_24174,plain,
sdtpldt0(sdtpldt0(sz10,xm),xp) = sdtpldt0(xp,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4841]) ).
tcf(c_24175,plain,
sdtpldt0(sdtpldt0(sz10,xp),xp) = sdtpldt0(xp,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4841]) ).
tcf(c_24176,plain,
sdtpldt0(sdtpldt0(sz10,xr),xp) = sdtpldt0(xp,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4841]) ).
tcf(c_24177,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xp,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4841]) ).
tcf(c_24178,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),xp) = sdtpldt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4841]) ).
tcf(c_24179,plain,
sdtpldt0(sdtpldt0(xp,xn),xp) = sdtpldt0(xp,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4841]) ).
tcf(c_24180,plain,
sdtpldt0(sdtpldt0(xn,xr),xp) = sdtpldt0(xp,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4841]) ).
tcf(c_24181,plain,
sdtpldt0(sdtpldt0(xp,xm),xp) = sdtpldt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4841]) ).
tcf(c_24182,plain,
sdtpldt0(sdtpldt0(xm,xr),xp) = sdtpldt0(xp,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4841]) ).
tcf(c_24183,plain,
sdtpldt0(xr,xp) = xn,
inference(light_normalisation,[status(thm)],[c_24172,c_6277]) ).
tcf(c_24216,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xp,sdtpldt0(xn,xm))) ),
inference(demodulation,[status(thm)],[c_119,c_24177]) ).
tcf(c_24259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_24183,c_87]) ).
tcf(c_24260,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_24183,c_103]) ).
tcf(c_24262,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_24183,c_87]) ).
tcf(c_24263,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_24183,c_66]) ).
tcf(c_24264,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_24183,c_85]) ).
tcf(c_24265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_24183,c_85]) ).
tcf(c_24266,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xn ) ),
inference(superposition,[status(thm)],[c_24183,c_67]) ).
tcf(c_24267,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24266,c_4987,c_118]) ).
tcf(c_24271,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24263,c_4987,c_118]) ).
tcf(c_24275,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24260,c_4987,c_118]) ).
tcf(c_24280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24265,c_4987,c_118]) ).
tcf(c_24285,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24264,c_4987,c_118]) ).
tcf(c_24290,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24262,c_4987,c_118]) ).
tcf(c_24295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24259,c_4987,c_118]) ).
tcf(c_24310,plain,
sdtasdt0(sz00,sz10) = sdtasdt0(sz10,sz00),
inference(superposition,[status(thm)],[c_50,c_4871]) ).
tcf(c_24311,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4871]) ).
tcf(c_24312,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4871]) ).
tcf(c_24313,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz00) = sdtasdt0(sz00,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4871]) ).
tcf(c_24314,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),sz00) = sdtasdt0(sz00,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4871]) ).
tcf(c_24315,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz00) = sdtasdt0(sz00,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4871]) ).
tcf(c_24316,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz00) = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4871]) ).
tcf(c_24317,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),sz00) = sdtasdt0(sz00,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4871]) ).
tcf(c_24318,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sz00) = sdtasdt0(sz00,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4871]) ).
tcf(c_24319,plain,
sdtasdt0(sz00,xn) = sdtasdt0(xn,sz00),
inference(superposition,[status(thm)],[c_116,c_4871]) ).
tcf(c_24320,plain,
sdtasdt0(sz00,xm) = sdtasdt0(xm,sz00),
inference(superposition,[status(thm)],[c_117,c_4871]) ).
tcf(c_24321,plain,
sdtasdt0(sz00,xp) = sdtasdt0(xp,sz00),
inference(superposition,[status(thm)],[c_118,c_4871]) ).
tcf(c_24322,plain,
sdtasdt0(sz00,xr) = sdtasdt0(xr,sz00),
inference(superposition,[status(thm)],[c_4987,c_4871]) ).
tcf(c_24323,plain,
sdtasdt0(sdtpldt0(sz10,xn),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4871]) ).
tcf(c_24324,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4871]) ).
tcf(c_24325,plain,
sdtasdt0(sdtpldt0(sz10,xp),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4871]) ).
tcf(c_24326,plain,
sdtasdt0(sdtpldt0(sz10,xr),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4871]) ).
tcf(c_24327,plain,
sdtasdt0(sdtpldt0(xn,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4871]) ).
tcf(c_24328,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4871]) ).
tcf(c_24329,plain,
sdtasdt0(sdtpldt0(xp,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4871]) ).
tcf(c_24330,plain,
sdtasdt0(sdtpldt0(xn,xr),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4871]) ).
tcf(c_24331,plain,
sdtasdt0(sdtpldt0(xp,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4871]) ).
tcf(c_24332,plain,
sdtasdt0(sdtpldt0(xm,xr),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4871]) ).
tcf(c_24409,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtasdt0(sz10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4872]) ).
tcf(c_24410,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(sz10,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4872]) ).
tcf(c_24411,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz10) = sdtasdt0(sz10,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4872]) ).
tcf(c_24412,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),sz10) = sdtasdt0(sz10,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4872]) ).
tcf(c_24413,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz10) = sdtasdt0(sz10,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4872]) ).
tcf(c_24414,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz10) = sdtasdt0(sz10,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4872]) ).
tcf(c_24415,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),sz10) = sdtasdt0(sz10,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4872]) ).
tcf(c_24416,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sz10) = sdtasdt0(sz10,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4872]) ).
tcf(c_24417,plain,
sdtasdt0(sz10,xn) = sdtasdt0(xn,sz10),
inference(superposition,[status(thm)],[c_116,c_4872]) ).
tcf(c_24418,plain,
sdtasdt0(sz10,xm) = sdtasdt0(xm,sz10),
inference(superposition,[status(thm)],[c_117,c_4872]) ).
tcf(c_24419,plain,
sdtasdt0(sz10,xp) = sdtasdt0(xp,sz10),
inference(superposition,[status(thm)],[c_118,c_4872]) ).
tcf(c_24420,plain,
sdtasdt0(sz10,xr) = sdtasdt0(xr,sz10),
inference(superposition,[status(thm)],[c_4987,c_4872]) ).
tcf(c_24421,plain,
sdtasdt0(sdtpldt0(sz10,xn),sz10) = sdtasdt0(sz10,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4872]) ).
tcf(c_24422,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz10) = sdtasdt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4872]) ).
tcf(c_24423,plain,
sdtasdt0(sdtpldt0(sz10,xp),sz10) = sdtasdt0(sz10,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4872]) ).
tcf(c_24424,plain,
sdtasdt0(sdtpldt0(sz10,xr),sz10) = sdtasdt0(sz10,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4872]) ).
tcf(c_24425,plain,
sdtasdt0(sdtpldt0(xn,xm),sz10) = sdtasdt0(sz10,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4872]) ).
tcf(c_24426,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz10) = sdtasdt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4872]) ).
tcf(c_24427,plain,
sdtasdt0(sdtpldt0(xp,xn),sz10) = sdtasdt0(sz10,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4872]) ).
tcf(c_24428,plain,
sdtasdt0(sdtpldt0(xn,xr),sz10) = sdtasdt0(sz10,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4872]) ).
tcf(c_24429,plain,
sdtasdt0(sdtpldt0(xp,xm),sz10) = sdtasdt0(sz10,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4872]) ).
tcf(c_24430,plain,
sdtasdt0(sdtpldt0(xm,xr),sz10) = sdtasdt0(sz10,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4872]) ).
tcf(c_24488,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4875]) ).
tcf(c_24489,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4875]) ).
tcf(c_24490,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xn) = sdtasdt0(xn,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4875]) ).
tcf(c_24491,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xn) = sdtasdt0(xn,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4875]) ).
tcf(c_24492,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xn) = sdtasdt0(xn,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4875]) ).
tcf(c_24493,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xn) = sdtasdt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4875]) ).
tcf(c_24494,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),xn) = sdtasdt0(xn,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4875]) ).
tcf(c_24495,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),xn) = sdtasdt0(xn,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4875]) ).
tcf(c_24497,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_117,c_4875]) ).
tcf(c_24498,plain,
sdtasdt0(xn,xp) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_118,c_4875]) ).
tcf(c_24499,plain,
sdtasdt0(xn,xr) = sdtasdt0(xr,xn),
inference(superposition,[status(thm)],[c_4987,c_4875]) ).
tcf(c_24500,plain,
sdtasdt0(sdtpldt0(sz10,xn),xn) = sdtasdt0(xn,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4875]) ).
tcf(c_24501,plain,
sdtasdt0(sdtpldt0(sz10,xm),xn) = sdtasdt0(xn,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4875]) ).
tcf(c_24502,plain,
sdtasdt0(sdtpldt0(sz10,xp),xn) = sdtasdt0(xn,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4875]) ).
tcf(c_24503,plain,
sdtasdt0(sdtpldt0(sz10,xr),xn) = sdtasdt0(xn,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4875]) ).
tcf(c_24504,plain,
sdtasdt0(sdtpldt0(xn,xm),xn) = sdtasdt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4875]) ).
tcf(c_24505,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),xn) = sdtasdt0(xn,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4875]) ).
tcf(c_24506,plain,
sdtasdt0(sdtpldt0(xp,xn),xn) = sdtasdt0(xn,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4875]) ).
tcf(c_24507,plain,
sdtasdt0(sdtpldt0(xn,xr),xn) = sdtasdt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4875]) ).
tcf(c_24508,plain,
sdtasdt0(sdtpldt0(xp,xm),xn) = sdtasdt0(xn,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4875]) ).
tcf(c_24509,plain,
sdtasdt0(sdtpldt0(xm,xr),xn) = sdtasdt0(xn,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4875]) ).
tcf(c_24622,plain,
( ( sz00 = xm )
| ( sz00 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_24497,c_72]) ).
tcf(c_24623,plain,
( doDivides0(xm,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24497,c_178]) ).
tcf(c_24624,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24497,c_53]) ).
tcf(c_24625,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ( sz00 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24497,c_93]) ).
tcf(c_24626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xm))
| ( sz00 = xn )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_24497,c_91]) ).
tcf(c_24627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xn))
| ( sz00 = xn )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_24497,c_91]) ).
tcf(c_24628,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24497,c_68]) ).
tcf(c_24629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_24497,c_89]) ).
tcf(c_24630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xm))
| ( sz00 = xm )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_24497,c_89]) ).
tcf(c_24631,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24497,c_69]) ).
tcf(c_24632,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_24624,c_117,c_116]) ).
tcf(c_24633,plain,
doDivides0(xm,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_24623,c_117,c_116]) ).
tcf(c_24634,plain,
sdtlseqdt0(xm,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_24625,c_16489,c_117,c_116]) ).
tcf(c_24635,plain,
( ( sz00 = xm )
| ( sdtasdt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24622,c_16489,c_117,c_116]) ).
tcf(c_24638,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24631,c_16489,c_117,c_116]) ).
tcf(c_24642,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24628,c_117,c_116]) ).
tcf(c_24647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xm))
| ( sz00 = xm )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24630,c_117,c_116]) ).
tcf(c_24653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24629,c_117,c_116]) ).
tcf(c_24659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24627,c_16489,c_117,c_116]) ).
tcf(c_24664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24626,c_16489,c_117,c_116]) ).
tcf(c_24669,plain,
doDivides0(sz10,sdtasdt0(xn,xm)),
inference(backward_subsumption_resolution,[status(thm)],[c_19488,c_24632]) ).
tcf(c_24709,plain,
sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xn,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4875]) ).
tcf(c_24710,plain,
sdtasdt0(sdtasdt0(xn,xm),sz10) = sdtasdt0(sz10,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4872]) ).
tcf(c_24711,plain,
sdtasdt0(sdtasdt0(xn,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4871]) ).
tcf(c_24712,plain,
sdtpldt0(sdtasdt0(xn,xm),xp) = sdtpldt0(xp,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4841]) ).
tcf(c_24713,plain,
sdtpldt0(sdtasdt0(xn,xm),xm) = sdtpldt0(xm,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4840]) ).
tcf(c_24714,plain,
sdtpldt0(sdtasdt0(xn,xm),xn) = sdtpldt0(xn,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4839]) ).
tcf(c_24715,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(X1,sdtasdt0(xn,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24632,c_65]) ).
tcf(c_24716,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(sdtasdt0(xn,xm),X1)) = sdtasdt0(sdtasdt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24632,c_64]) ).
tcf(c_24717,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),X1) = sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24632,c_59]) ).
tcf(c_24718,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),X0),X1) = sdtpldt0(sdtasdt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24632,c_55]) ).
tcf(c_24719,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24632,c_191]) ).
tcf(c_24720,plain,
sdtpldt0(sdtasdt0(xn,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4836]) ).
tcf(c_24721,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4835]) ).
tcf(c_24722,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24632,c_184]) ).
tcf(c_24723,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xm),X0) = sdtasdt0(X0,sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24632,c_58]) ).
tcf(c_24724,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(X0,sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24632,c_54]) ).
tcf(c_24725,plain,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_24632,c_63]) ).
tcf(c_24726,plain,
sdtasdt0(sdtasdt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_24632,c_62]) ).
tcf(c_24727,plain,
sdtasdt0(sz10,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_24632,c_61]) ).
tcf(c_24728,plain,
sdtasdt0(sdtasdt0(xn,xm),sz10) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_24632,c_60]) ).
tcf(c_24729,plain,
sdtpldt0(sz00,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_24632,c_57]) ).
tcf(c_24730,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_24632,c_56]) ).
tcf(c_24831,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24633,c_105]) ).
tcf(c_24832,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xn,xm),xm)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24633,c_100]) ).
tcf(c_24833,plain,
( ( sz10 = xm )
| ( sdtasdt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24633,c_112]) ).
tcf(c_24834,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_24633,c_101]) ).
tcf(c_24835,plain,
( ( sdtasdt0(xm,sK1(xm,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24633,c_97]) ).
tcf(c_24838,plain,
sdtasdt0(xm,sK1(xm,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_24835,c_117,c_24632]) ).
tcf(c_24839,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24834,c_117,c_24632]) ).
tcf(c_24843,plain,
( ( sz10 = xm )
| ( sdtasdt0(xn,xm) = xm )
| ~ isPrime0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24833,c_117,c_24632]) ).
tcf(c_24847,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xn,xm),xm)) = sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24832,c_117,c_24632]) ).
tcf(c_24850,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24831,c_117,c_24632]) ).
tcf(c_24869,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_24634,c_81]) ).
tcf(c_24870,plain,
( ( sdtasdt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xm) ),
inference(superposition,[status(thm)],[c_24634,c_80]) ).
tcf(c_24871,plain,
( ( sdtpldt0(xm,sdtmndt0(sdtasdt0(xn,xm),xm)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24634,c_78]) ).
tcf(c_24872,plain,
( ( sdtpldt0(xm,sK0(xm,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24634,c_75]) ).
tcf(c_24873,plain,
( iLess0(xm,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24634,c_94]) ).
tcf(c_24874,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24634,c_7088]) ).
tcf(c_24875,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_24874,c_24632]) ).
tcf(c_24876,plain,
( iLess0(xm,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24873,c_117,c_24632]) ).
tcf(c_24879,plain,
sdtpldt0(xm,sK0(xm,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_24872,c_117,c_24632]) ).
tcf(c_24880,plain,
sdtpldt0(xm,sdtmndt0(sdtasdt0(xn,xm),xm)) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_24871,c_117,c_24632]) ).
tcf(c_24881,plain,
( ( sdtasdt0(xn,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24870,c_117,c_24632]) ).
tcf(c_24884,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24869,c_117,c_24632]) ).
tcf(c_24924,plain,
( ( sz00 = xp )
| ( sz00 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xp,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_24498,c_72]) ).
tcf(c_24925,plain,
( doDivides0(xn,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24498,c_178]) ).
tcf(c_24926,plain,
( aNaturalNumber0(sdtasdt0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24498,c_53]) ).
tcf(c_24927,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,xn))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24498,c_93]) ).
tcf(c_24928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xn))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_24498,c_91]) ).
tcf(c_24929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_24498,c_91]) ).
tcf(c_24930,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_24498,c_68]) ).
tcf(c_24931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xn,X0))
| ( sz00 = xn )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_24498,c_89]) ).
tcf(c_24932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xp,xn))
| ( sz00 = xn )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_24498,c_89]) ).
tcf(c_24933,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_24498,c_69]) ).
tcf(c_24934,plain,
aNaturalNumber0(sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_24926,c_118,c_116]) ).
tcf(c_24935,plain,
doDivides0(xn,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_24925,c_118,c_116]) ).
tcf(c_24936,plain,
sdtlseqdt0(xn,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_24927,c_19188,c_118,c_116]) ).
tcf(c_24937,plain,
sdtasdt0(xp,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_24924,c_19188,c_16489,c_118,c_116]) ).
tcf(c_24938,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24933,c_19188,c_118,c_116]) ).
tcf(c_24942,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24930,c_16489,c_118,c_116]) ).
tcf(c_24946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xp,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24932,c_16489,c_118,c_116]) ).
tcf(c_24951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xn,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24931,c_16489,c_118,c_116]) ).
tcf(c_24956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(X0,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24929,c_19188,c_118,c_116]) ).
tcf(c_24961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24928,c_19188,c_118,c_116]) ).
tcf(c_25043,plain,
sdtasdt0(sdtasdt0(xp,xn),xn) = sdtasdt0(xn,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4875]) ).
tcf(c_25044,plain,
sdtasdt0(sdtasdt0(xp,xn),sz10) = sdtasdt0(sz10,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4872]) ).
tcf(c_25045,plain,
sdtasdt0(sdtasdt0(xp,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4871]) ).
tcf(c_25046,plain,
sdtpldt0(sdtasdt0(xp,xn),xp) = sdtpldt0(xp,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4841]) ).
tcf(c_25047,plain,
sdtpldt0(sdtasdt0(xp,xn),xm) = sdtpldt0(xm,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4840]) ).
tcf(c_25048,plain,
sdtpldt0(sdtasdt0(xp,xn),xn) = sdtpldt0(xn,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4839]) ).
tcf(c_25049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sdtasdt0(X1,sdtasdt0(xp,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24934,c_65]) ).
tcf(c_25050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xn),X0),sdtasdt0(sdtasdt0(xp,xn),X1)) = sdtasdt0(sdtasdt0(xp,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24934,c_64]) ).
tcf(c_25051,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xn),X0),X1) = sdtasdt0(sdtasdt0(xp,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24934,c_59]) ).
tcf(c_25052,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xn),X0),X1) = sdtpldt0(sdtasdt0(xp,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24934,c_55]) ).
tcf(c_25053,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24934,c_191]) ).
tcf(c_25054,plain,
sdtpldt0(sdtasdt0(xp,xn),sz10) = sdtpldt0(sz10,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4836]) ).
tcf(c_25055,plain,
sdtpldt0(sdtasdt0(xp,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4835]) ).
tcf(c_25056,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24934,c_184]) ).
tcf(c_25057,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xn),X0) = sdtasdt0(X0,sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24934,c_58]) ).
tcf(c_25058,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xn),X0) = sdtpldt0(X0,sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24934,c_54]) ).
tcf(c_25059,plain,
sdtasdt0(sz00,sdtasdt0(xp,xn)) = sz00,
inference(superposition,[status(thm)],[c_24934,c_63]) ).
tcf(c_25060,plain,
sdtasdt0(sdtasdt0(xp,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_24934,c_62]) ).
tcf(c_25061,plain,
sdtasdt0(sz10,sdtasdt0(xp,xn)) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_24934,c_61]) ).
tcf(c_25062,plain,
sdtasdt0(sdtasdt0(xp,xn),sz10) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_24934,c_60]) ).
tcf(c_25063,plain,
sdtpldt0(sz00,sdtasdt0(xp,xn)) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_24934,c_57]) ).
tcf(c_25064,plain,
sdtpldt0(sdtasdt0(xp,xn),sz00) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_24934,c_56]) ).
tcf(c_25413,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xn),xn)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xn)),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24935,c_105]) ).
tcf(c_25414,plain,
( ( sz00 = xn )
| ( sdtasdt0(xn,sdtsldt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24935,c_100]) ).
tcf(c_25415,plain,
( ( sz10 = xn )
| ( sdtasdt0(xp,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ isPrime0(sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24935,c_112]) ).
tcf(c_25416,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ doDivides0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_24935,c_101]) ).
tcf(c_25417,plain,
( ( sdtasdt0(xn,sK1(xn,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24935,c_97]) ).
tcf(c_25419,plain,
( doDivides0(sz10,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24935,c_7370]) ).
tcf(c_25420,plain,
doDivides0(sz10,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_25419,c_24934]) ).
tcf(c_25421,plain,
sdtasdt0(xn,sK1(xn,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25417,c_116,c_24934]) ).
tcf(c_25422,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25416,c_116,c_24934]) ).
tcf(c_25426,plain,
( ( sz10 = xn )
| ( sdtasdt0(xp,xn) = xn )
| ~ isPrime0(sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25415,c_116,c_24934]) ).
tcf(c_25430,plain,
sdtasdt0(xn,sdtsldt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25414,c_16489,c_116,c_24934]) ).
tcf(c_25431,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xn),xn)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xn)),xn) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25413,c_16489,c_116,c_24934]) ).
tcf(c_25435,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_24936,c_81]) ).
tcf(c_25436,plain,
( ( sdtasdt0(xp,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),xn) ),
inference(superposition,[status(thm)],[c_24936,c_80]) ).
tcf(c_25437,plain,
( ( sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24936,c_78]) ).
tcf(c_25438,plain,
( ( sdtpldt0(xn,sK0(xn,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24936,c_75]) ).
tcf(c_25439,plain,
( iLess0(xn,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24936,c_94]) ).
tcf(c_25440,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24936,c_16506]) ).
tcf(c_25441,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24936,c_7104]) ).
tcf(c_25442,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24936,c_7100]) ).
tcf(c_25443,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_24936,c_7092]) ).
tcf(c_25444,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_25443,c_24934]) ).
tcf(c_25445,plain,
sdtlseqdt0(xr,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_25442,c_24934]) ).
tcf(c_25446,plain,
sdtlseqdt0(xp,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_25441,c_24934]) ).
tcf(c_25447,plain,
sdtlseqdt0(sz10,sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_25440,c_24934]) ).
tcf(c_25448,plain,
( iLess0(xn,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25439,c_116,c_24934]) ).
tcf(c_25451,plain,
sdtpldt0(xn,sK0(xn,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25438,c_116,c_24934]) ).
tcf(c_25452,plain,
sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25437,c_116,c_24934]) ).
tcf(c_25453,plain,
( ( sdtasdt0(xp,xn) = xn )
| ~ sdtlseqdt0(sdtasdt0(xp,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25436,c_116,c_24934]) ).
tcf(c_25456,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25435,c_116,c_24934]) ).
tcf(c_25461,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_24875,c_81]) ).
tcf(c_25462,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sz00) ),
inference(superposition,[status(thm)],[c_24875,c_80]) ).
tcf(c_25463,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xm),sz00)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24875,c_78]) ).
tcf(c_25464,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24875,c_75]) ).
tcf(c_25465,plain,
( iLess0(sz00,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24875,c_94]) ).
tcf(c_25466,plain,
( iLess0(sz00,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25465,c_49,c_24632]) ).
tcf(c_25469,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_25464,c_49,c_24632]) ).
tcf(c_25470,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xm),sz00)) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_25463,c_49,c_24632]) ).
tcf(c_25471,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25462,c_49,c_24632]) ).
tcf(c_25474,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25461,c_49,c_24632]) ).
tcf(c_25490,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xn),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25420,c_105]) ).
tcf(c_25491,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xp,xn),sz10)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25420,c_100]) ).
tcf(c_25493,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ doDivides0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25420,c_101]) ).
tcf(c_25494,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25420,c_97]) ).
tcf(c_25496,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25494,c_50,c_24934]) ).
tcf(c_25497,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25493,c_50,c_24934]) ).
tcf(c_25501,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xp,xn),sz10)) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25491,c_51,c_50,c_24934]) ).
tcf(c_25502,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xn),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25490,c_51,c_50,c_24934]) ).
tcf(c_25506,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25444,c_81]) ).
tcf(c_25507,plain,
( ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),sz00) ),
inference(superposition,[status(thm)],[c_25444,c_80]) ).
tcf(c_25508,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xn),sz00)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25444,c_78]) ).
tcf(c_25509,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25444,c_75]) ).
tcf(c_25510,plain,
( iLess0(sz00,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25444,c_94]) ).
tcf(c_25511,plain,
( iLess0(sz00,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25510,c_49,c_24934]) ).
tcf(c_25514,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25509,c_49,c_24934]) ).
tcf(c_25515,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xn),sz00)) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25508,c_49,c_24934]) ).
tcf(c_25516,plain,
( ( sdtasdt0(xp,xn) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xn),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25507,c_49,c_24934]) ).
tcf(c_25519,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25506,c_49,c_24934]) ).
tcf(c_25554,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25445,c_81]) ).
tcf(c_25555,plain,
( ( sdtasdt0(xp,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),xr) ),
inference(superposition,[status(thm)],[c_25445,c_80]) ).
tcf(c_25556,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xp,xn),xr)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25445,c_78]) ).
tcf(c_25557,plain,
( ( sdtpldt0(xr,sK0(xr,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25445,c_75]) ).
tcf(c_25558,plain,
( iLess0(xr,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25445,c_94]) ).
tcf(c_25560,plain,
( iLess0(xr,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25558,c_4987,c_24934]) ).
tcf(c_25563,plain,
sdtpldt0(xr,sK0(xr,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25557,c_4987,c_24934]) ).
tcf(c_25564,plain,
sdtpldt0(xr,sdtmndt0(sdtasdt0(xp,xn),xr)) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25556,c_4987,c_24934]) ).
tcf(c_25565,plain,
( ( sdtasdt0(xp,xn) = xr )
| ~ sdtlseqdt0(sdtasdt0(xp,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25555,c_4987,c_24934]) ).
tcf(c_25568,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25554,c_4987,c_24934]) ).
tcf(c_25573,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25446,c_81]) ).
tcf(c_25574,plain,
( ( sdtasdt0(xp,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),xp) ),
inference(superposition,[status(thm)],[c_25446,c_80]) ).
tcf(c_25575,plain,
( ( sdtpldt0(xp,sdtmndt0(sdtasdt0(xp,xn),xp)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25446,c_78]) ).
tcf(c_25576,plain,
( ( sdtpldt0(xp,sK0(xp,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25446,c_75]) ).
tcf(c_25577,plain,
( iLess0(xp,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25446,c_94]) ).
tcf(c_25580,plain,
( iLess0(xp,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25577,c_118,c_24934]) ).
tcf(c_25583,plain,
sdtpldt0(xp,sK0(xp,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25576,c_118,c_24934]) ).
tcf(c_25584,plain,
sdtpldt0(xp,sdtmndt0(sdtasdt0(xp,xn),xp)) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25575,c_118,c_24934]) ).
tcf(c_25585,plain,
( ( sdtasdt0(xp,xn) = xp )
| ~ sdtlseqdt0(sdtasdt0(xp,xn),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25574,c_118,c_24934]) ).
tcf(c_25588,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25573,c_118,c_24934]) ).
tcf(c_25593,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25447,c_81]) ).
tcf(c_25594,plain,
( ( sdtasdt0(xp,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),sz10) ),
inference(superposition,[status(thm)],[c_25447,c_80]) ).
tcf(c_25595,plain,
( ( sdtpldt0(sz10,sdtmndt0(sdtasdt0(xp,xn),sz10)) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25447,c_78]) ).
tcf(c_25596,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25447,c_75]) ).
tcf(c_25597,plain,
( iLess0(sz10,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25447,c_94]) ).
tcf(c_25599,plain,
( iLess0(sz10,sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25597,c_50,c_24934]) ).
tcf(c_25602,plain,
sdtpldt0(sz10,sK0(sz10,sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25596,c_50,c_24934]) ).
tcf(c_25603,plain,
sdtpldt0(sz10,sdtmndt0(sdtasdt0(xp,xn),sz10)) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_25595,c_50,c_24934]) ).
tcf(c_25604,plain,
( ( sdtasdt0(xp,xn) = sz10 )
| ~ sdtlseqdt0(sdtasdt0(xp,xn),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25594,c_50,c_24934]) ).
tcf(c_25607,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25593,c_50,c_24934]) ).
tcf(c_25637,plain,
( ( sz00 = xr )
| ( sz00 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_24499,c_72]) ).
tcf(c_25638,plain,
( doDivides0(xr,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24499,c_178]) ).
tcf(c_25639,plain,
( aNaturalNumber0(sdtasdt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24499,c_53]) ).
tcf(c_25640,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| ( sz00 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_24499,c_93]) ).
tcf(c_25641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xr))
| ( sz00 = xn )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_24499,c_91]) ).
tcf(c_25642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,xn))
| ( sz00 = xn )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_24499,c_91]) ).
tcf(c_25643,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_24499,c_68]) ).
tcf(c_25644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_24499,c_89]) ).
tcf(c_25645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xr))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_24499,c_89]) ).
tcf(c_25646,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_24499,c_69]) ).
tcf(c_25647,plain,
aNaturalNumber0(sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_25639,c_4987,c_116]) ).
tcf(c_25648,plain,
doDivides0(xr,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_25638,c_4987,c_116]) ).
tcf(c_25649,plain,
sdtlseqdt0(xr,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_25640,c_16489,c_4987,c_116]) ).
tcf(c_25650,plain,
( ( sz00 = xr )
| ( sdtasdt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25637,c_16489,c_4987,c_116]) ).
tcf(c_25653,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25646,c_16489,c_4987,c_116]) ).
tcf(c_25657,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25643,c_4987,c_116]) ).
tcf(c_25662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xr))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25645,c_4987,c_116]) ).
tcf(c_25668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25644,c_4987,c_116]) ).
tcf(c_25674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25642,c_16489,c_4987,c_116]) ).
tcf(c_25679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25641,c_16489,c_4987,c_116]) ).
tcf(c_25688,plain,
sdtasdt0(sdtasdt0(xn,xr),xn) = sdtasdt0(xn,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4875]) ).
tcf(c_25689,plain,
sdtasdt0(sdtasdt0(xn,xr),sz10) = sdtasdt0(sz10,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4872]) ).
tcf(c_25690,plain,
sdtasdt0(sdtasdt0(xn,xr),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4871]) ).
tcf(c_25691,plain,
sdtpldt0(sdtasdt0(xn,xr),xp) = sdtpldt0(xp,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4841]) ).
tcf(c_25692,plain,
sdtpldt0(sdtasdt0(xn,xr),xm) = sdtpldt0(xm,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4840]) ).
tcf(c_25693,plain,
sdtpldt0(sdtasdt0(xn,xr),xn) = sdtpldt0(xn,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4839]) ).
tcf(c_25694,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(X1,sdtasdt0(xn,xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25647,c_65]) ).
tcf(c_25695,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtasdt0(sdtasdt0(xn,xr),X1)) = sdtasdt0(sdtasdt0(xn,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25647,c_64]) ).
tcf(c_25696,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xr),X0),X1) = sdtasdt0(sdtasdt0(xn,xr),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25647,c_59]) ).
tcf(c_25697,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xr),X0),X1) = sdtpldt0(sdtasdt0(xn,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25647,c_55]) ).
tcf(c_25698,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25647,c_191]) ).
tcf(c_25699,plain,
sdtpldt0(sdtasdt0(xn,xr),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4836]) ).
tcf(c_25700,plain,
sdtpldt0(sdtasdt0(xn,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4835]) ).
tcf(c_25701,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25647,c_184]) ).
tcf(c_25702,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xr),X0) = sdtasdt0(X0,sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25647,c_58]) ).
tcf(c_25703,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xr),X0) = sdtpldt0(X0,sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25647,c_54]) ).
tcf(c_25704,plain,
sdtasdt0(sz00,sdtasdt0(xn,xr)) = sz00,
inference(superposition,[status(thm)],[c_25647,c_63]) ).
tcf(c_25705,plain,
sdtasdt0(sdtasdt0(xn,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_25647,c_62]) ).
tcf(c_25706,plain,
sdtasdt0(sz10,sdtasdt0(xn,xr)) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_25647,c_61]) ).
tcf(c_25707,plain,
sdtasdt0(sdtasdt0(xn,xr),sz10) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_25647,c_60]) ).
tcf(c_25708,plain,
sdtpldt0(sz00,sdtasdt0(xn,xr)) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_25647,c_57]) ).
tcf(c_25709,plain,
sdtpldt0(sdtasdt0(xn,xr),sz00) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_25647,c_56]) ).
tcf(c_25783,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25648,c_105]) ).
tcf(c_25784,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25648,c_100]) ).
tcf(c_25785,plain,
( ( sz10 = xr )
| ( sdtasdt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ isPrime0(sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25648,c_112]) ).
tcf(c_25786,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ doDivides0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25648,c_101]) ).
tcf(c_25787,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25648,c_97]) ).
tcf(c_25789,plain,
( doDivides0(sz10,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25648,c_7346]) ).
tcf(c_25790,plain,
doDivides0(sz10,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_25789,c_25647]) ).
tcf(c_25791,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_25787,c_4987,c_25647]) ).
tcf(c_25792,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25786,c_4987,c_25647]) ).
tcf(c_25796,plain,
( ( sz10 = xr )
| ( sdtasdt0(xn,xr) = xr )
| ~ isPrime0(sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25785,c_4987,c_25647]) ).
tcf(c_25800,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25784,c_4987,c_25647]) ).
tcf(c_25803,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25783,c_4987,c_25647]) ).
tcf(c_25808,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25649,c_81]) ).
tcf(c_25809,plain,
( ( sdtasdt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_25649,c_80]) ).
tcf(c_25810,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25649,c_78]) ).
tcf(c_25811,plain,
( ( sdtpldt0(xr,sK0(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25649,c_75]) ).
tcf(c_25812,plain,
( iLess0(xr,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25649,c_94]) ).
tcf(c_25813,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25649,c_7080]) ).
tcf(c_25814,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_25813,c_25647]) ).
tcf(c_25815,plain,
( iLess0(xr,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25812,c_4987,c_25647]) ).
tcf(c_25818,plain,
sdtpldt0(xr,sK0(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_25811,c_4987,c_25647]) ).
tcf(c_25819,plain,
sdtpldt0(xr,sdtmndt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_25810,c_4987,c_25647]) ).
tcf(c_25820,plain,
( ( sdtasdt0(xn,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25809,c_4987,c_25647]) ).
tcf(c_25823,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25808,c_4987,c_25647]) ).
tcf(c_25828,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25790,c_105]) ).
tcf(c_25829,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xr),sz10)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25790,c_100]) ).
tcf(c_25831,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ doDivides0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25790,c_101]) ).
tcf(c_25832,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25790,c_97]) ).
tcf(c_25833,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25790,c_104]) ).
tcf(c_25834,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25833,c_50,c_25647]) ).
tcf(c_25837,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_25832,c_50,c_25647]) ).
tcf(c_25838,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25831,c_50,c_25647]) ).
tcf(c_25842,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xr),sz10)) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_25829,c_51,c_50,c_25647]) ).
tcf(c_25843,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25828,c_51,c_50,c_25647]) ).
tcf(c_25880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24725,c_91]) ).
tcf(c_25881,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24725,c_91]) ).
tcf(c_25885,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_24725,c_69]) ).
tcf(c_25886,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25885,c_49,c_24632]) ).
tcf(c_25891,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25881,c_49,c_24632]) ).
tcf(c_25897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25880,c_49,c_24632]) ).
tcf(c_25906,plain,
( doDivides0(sdtasdt0(xn,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24726,c_178]) ).
tcf(c_25911,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_24726,c_68]) ).
tcf(c_25912,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24726,c_89]) ).
tcf(c_25913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24726,c_89]) ).
tcf(c_25915,plain,
doDivides0(sdtasdt0(xn,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_25906,c_49,c_24632]) ).
tcf(c_25916,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25911,c_49,c_24632]) ).
tcf(c_25921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25913,c_49,c_24632]) ).
tcf(c_25927,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25912,c_49,c_24632]) ).
tcf(c_25933,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_25915,c_105]) ).
tcf(c_25934,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sz00,sdtasdt0(xn,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_25915,c_100]) ).
tcf(c_25936,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_25915,c_101]) ).
tcf(c_25937,plain,
( ( sdtasdt0(sdtasdt0(xn,xm),sK1(sdtasdt0(xn,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_25915,c_97]) ).
tcf(c_25939,plain,
sdtasdt0(sdtasdt0(xn,xm),sK1(sdtasdt0(xn,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_25937,c_49,c_24632]) ).
tcf(c_25940,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25936,c_49,c_24632]) ).
tcf(c_25944,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sz00,sdtasdt0(xn,xm))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25934,c_49,c_24632]) ).
tcf(c_25947,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25933,c_49,c_24632]) ).
tcf(c_25958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25059,c_91]) ).
tcf(c_25959,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25059,c_91]) ).
tcf(c_25963,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtasdt0(X0,sdtasdt0(xp,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_25059,c_69]) ).
tcf(c_25964,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25963,c_24937,c_49,c_24934]) ).
tcf(c_25968,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25959,c_24937,c_49,c_24934]) ).
tcf(c_25973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25958,c_24937,c_49,c_24934]) ).
tcf(c_25978,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25814,c_81]) ).
tcf(c_25979,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_25814,c_80]) ).
tcf(c_25980,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xr),sz00)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25814,c_78]) ).
tcf(c_25981,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25814,c_75]) ).
tcf(c_25982,plain,
( iLess0(sz00,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25814,c_94]) ).
tcf(c_25983,plain,
( iLess0(sz00,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25982,c_49,c_25647]) ).
tcf(c_25986,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_25981,c_49,c_25647]) ).
tcf(c_25987,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xn,xr),sz00)) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_25980,c_49,c_25647]) ).
tcf(c_25988,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25979,c_49,c_25647]) ).
tcf(c_25991,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25978,c_49,c_25647]) ).
tcf(c_26007,plain,
( doDivides0(sdtasdt0(xp,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25060,c_178]) ).
tcf(c_26012,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtasdt0(sdtasdt0(xp,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_25060,c_68]) ).
tcf(c_26013,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25060,c_89]) ).
tcf(c_26014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25060,c_89]) ).
tcf(c_26016,plain,
doDivides0(sdtasdt0(xp,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_26007,c_49,c_24934]) ).
tcf(c_26017,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26012,c_24937,c_49,c_24934]) ).
tcf(c_26021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xn),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26014,c_24937,c_49,c_24934]) ).
tcf(c_26026,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26013,c_24937,c_49,c_24934]) ).
tcf(c_26082,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xn))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_26016,c_105]) ).
tcf(c_26083,plain,
( ( sdtasdt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xn),sdtsldt0(sz00,sdtasdt0(xp,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_26016,c_100]) ).
tcf(c_26085,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_26016,c_101]) ).
tcf(c_26086,plain,
( ( sdtasdt0(sdtasdt0(xp,xn),sK1(sdtasdt0(xp,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_26016,c_97]) ).
tcf(c_26088,plain,
sdtasdt0(sdtasdt0(xp,xn),sK1(sdtasdt0(xp,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26086,c_49,c_24934]) ).
tcf(c_26089,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26085,c_49,c_24934]) ).
tcf(c_26093,plain,
sdtasdt0(sdtasdt0(xp,xn),sdtsldt0(sz00,sdtasdt0(xp,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26083,c_24937,c_49,c_24934]) ).
tcf(c_26094,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xn))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26082,c_24937,c_49,c_24934]) ).
tcf(c_26104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25704,c_91]) ).
tcf(c_26105,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25704,c_91]) ).
tcf(c_26109,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_25704,c_69]) ).
tcf(c_26110,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26109,c_49,c_25647]) ).
tcf(c_26115,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26105,c_49,c_25647]) ).
tcf(c_26121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26104,c_49,c_25647]) ).
tcf(c_26175,plain,
( doDivides0(sdtasdt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25705,c_178]) ).
tcf(c_26180,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_25705,c_68]) ).
tcf(c_26181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25705,c_89]) ).
tcf(c_26182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25705,c_89]) ).
tcf(c_26184,plain,
doDivides0(sdtasdt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_26175,c_49,c_25647]) ).
tcf(c_26185,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26180,c_49,c_25647]) ).
tcf(c_26190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26182,c_49,c_25647]) ).
tcf(c_26196,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26181,c_49,c_25647]) ).
tcf(c_26208,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26184,c_105]) ).
tcf(c_26209,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sz00,sdtasdt0(xn,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26184,c_100]) ).
tcf(c_26211,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26184,c_101]) ).
tcf(c_26212,plain,
( ( sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26184,c_97]) ).
tcf(c_26214,plain,
sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26212,c_49,c_25647]) ).
tcf(c_26215,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xn,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26211,c_49,c_25647]) ).
tcf(c_26219,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sz00,sdtasdt0(xn,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26209,c_49,c_25647]) ).
tcf(c_26222,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26208,c_49,c_25647]) ).
tcf(c_26244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24727,c_91]) ).
tcf(c_26245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24727,c_91]) ).
tcf(c_26246,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24727,c_68]) ).
tcf(c_26247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_24727,c_89]) ).
tcf(c_26248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24727,c_89]) ).
tcf(c_26249,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24727,c_69]) ).
tcf(c_26250,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26246,c_51,c_50,c_24632]) ).
tcf(c_26254,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26249,c_50,c_24632]) ).
tcf(c_26259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26248,c_51,c_50,c_24632]) ).
tcf(c_26264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26247,c_51,c_50,c_24632]) ).
tcf(c_26269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26245,c_50,c_24632]) ).
tcf(c_26275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26244,c_50,c_24632]) ).
tcf(c_26339,plain,
( doDivides0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24728,c_178]) ).
tcf(c_26341,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24728,c_93]) ).
tcf(c_26342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24728,c_91]) ).
tcf(c_26343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_24728,c_91]) ).
tcf(c_26344,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24728,c_68]) ).
tcf(c_26345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24728,c_89]) ).
tcf(c_26346,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24728,c_89]) ).
tcf(c_26347,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24728,c_69]) ).
tcf(c_26348,plain,
doDivides0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_26339,c_50,c_24632]) ).
tcf(c_26349,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_26341,c_51,c_50,c_24632]) ).
tcf(c_26350,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26347,c_51,c_50,c_24632]) ).
tcf(c_26354,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26344,c_50,c_24632]) ).
tcf(c_26359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26346,c_50,c_24632]) ).
tcf(c_26365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26345,c_50,c_24632]) ).
tcf(c_26371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sz10))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26343,c_51,c_50,c_24632]) ).
tcf(c_26376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26342,c_51,c_50,c_24632]) ).
tcf(c_26385,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_26348,c_105]) ).
tcf(c_26386,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_26348,c_100]) ).
tcf(c_26389,plain,
( ( sdtasdt0(sdtasdt0(xn,xm),sK1(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_26348,c_97]) ).
tcf(c_26391,plain,
sdtasdt0(sdtasdt0(xn,xm),sK1(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_26389,c_24632]) ).
tcf(c_26392,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26386,c_24632]) ).
tcf(c_26395,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26385,c_24632]) ).
tcf(c_26402,plain,
( ( sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_26349,c_78]) ).
tcf(c_26403,plain,
( ( sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_26349,c_75]) ).
tcf(c_26405,plain,
sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_26403,c_24632]) ).
tcf(c_26406,plain,
sdtpldt0(sdtasdt0(xn,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_26402,c_24632]) ).
tcf(c_26413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24729,c_87]) ).
tcf(c_26416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24729,c_87]) ).
tcf(c_26417,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24729,c_66]) ).
tcf(c_26418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_24729,c_85]) ).
tcf(c_26419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24729,c_85]) ).
tcf(c_26420,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24729,c_67]) ).
tcf(c_26421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26420,c_49,c_24632]) ).
tcf(c_26425,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26417,c_49,c_24632]) ).
tcf(c_26429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26416,c_49,c_24632]) ).
tcf(c_26434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26413,c_49,c_24632]) ).
tcf(c_26439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26419,c_49,c_24632]) ).
tcf(c_26444,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26418,c_49,c_24632]) ).
tcf(c_26457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24730,c_87]) ).
tcf(c_26458,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24730,c_103]) ).
tcf(c_26460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_24730,c_87]) ).
tcf(c_26461,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24730,c_66]) ).
tcf(c_26462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24730,c_85]) ).
tcf(c_26463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_24730,c_85]) ).
tcf(c_26464,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_24730,c_67]) ).
tcf(c_26465,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26458,c_49,c_24632]) ).
tcf(c_26469,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26464,c_49,c_24632]) ).
tcf(c_26473,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26461,c_49,c_24632]) ).
tcf(c_26477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26463,c_49,c_24632]) ).
tcf(c_26482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26462,c_49,c_24632]) ).
tcf(c_26487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26460,c_49,c_24632]) ).
tcf(c_26492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26457,c_49,c_24632]) ).
tcf(c_26499,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5750,c_71]) ).
tcf(c_26501,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5750,c_181]) ).
tcf(c_26502,plain,
( aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5750,c_52]) ).
tcf(c_26503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5750,c_87]) ).
tcf(c_26504,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(X0,sdtpldt0(sz10,xp))
| ~ doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_5750,c_103]) ).
tcf(c_26505,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5750,c_102]) ).
tcf(c_26506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(X0,sz10))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_5750,c_87]) ).
tcf(c_26507,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,sdtpldt0(sz10,xp)) ) ),
inference(superposition,[status(thm)],[c_5750,c_66]) ).
tcf(c_26508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5750,c_85]) ).
tcf(c_26509,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_5750,c_85]) ).
tcf(c_26510,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) != sdtpldt0(X0,sz10) ) ),
inference(superposition,[status(thm)],[c_5750,c_67]) ).
tcf(c_26511,plain,
aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_26502,c_50,c_5563]) ).
tcf(c_26512,plain,
sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_26501,c_50,c_5563]) ).
tcf(c_26513,plain,
sdtpldt0(sz10,sdtpldt0(sz10,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_26499,c_51,c_50,c_5563]) ).
tcf(c_26514,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) != sdtpldt0(X0,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26510,c_50,c_5563]) ).
tcf(c_26518,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,sdtpldt0(sz10,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26507,c_50,c_5563]) ).
tcf(c_26522,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26505,c_50,c_5563]) ).
tcf(c_26527,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xp))
| ~ doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26504,c_50,c_5563]) ).
tcf(c_26532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26509,c_50,c_5563]) ).
tcf(c_26537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26508,c_50,c_5563]) ).
tcf(c_26542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(X0,sz10))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26506,c_50,c_5563]) ).
tcf(c_26547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26503,c_50,c_5563]) ).
tcf(c_26558,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),xn) = sdtasdt0(xn,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4875]) ).
tcf(c_26559,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz10) = sdtasdt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4872]) ).
tcf(c_26560,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4871]) ).
tcf(c_26561,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),xp) = sdtpldt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4841]) ).
tcf(c_26562,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),xm) = sdtpldt0(xm,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4840]) ).
tcf(c_26563,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),xn) = sdtpldt0(xn,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4839]) ).
tcf(c_26564,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))),sdtasdt0(X1,sdtpldt0(sz10,sdtpldt0(sz10,xp)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,sdtpldt0(sz10,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26511,c_65]) ).
tcf(c_26565,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0),sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X1)) = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26511,c_64]) ).
tcf(c_26566,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0),X1) = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26511,c_59]) ).
tcf(c_26567,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0),X1) = sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26511,c_55]) ).
tcf(c_26568,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0),sdtpldt0(sz10,sdtpldt0(sz10,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26511,c_191]) ).
tcf(c_26569,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4836]) ).
tcf(c_26570,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4835]) ).
tcf(c_26571,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0),sdtpldt0(sz10,sdtpldt0(sz10,xp))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26511,c_184]) ).
tcf(c_26572,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0) = sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26511,c_58]) ).
tcf(c_26573,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0) = sdtpldt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26511,c_54]) ).
tcf(c_26574,plain,
sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp))) = sz00,
inference(superposition,[status(thm)],[c_26511,c_63]) ).
tcf(c_26575,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_26511,c_62]) ).
tcf(c_26576,plain,
sdtasdt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_26511,c_61]) ).
tcf(c_26577,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_26511,c_60]) ).
tcf(c_26578,plain,
sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_26511,c_57]) ).
tcf(c_26579,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_26511,c_56]) ).
tcf(c_26904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0) ),
inference(superposition,[status(thm)],[c_26512,c_81]) ).
tcf(c_26905,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_26512,c_80]) ).
tcf(c_26906,plain,
( ( sdtpldt0(sdtpldt0(sz10,xp),sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_26512,c_78]) ).
tcf(c_26907,plain,
( ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sdtpldt0(sz10,xp)))) = sdtpldt0(sz10,sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_26512,c_75]) ).
tcf(c_26908,plain,
( iLess0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_26512,c_94]) ).
tcf(c_26909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26904,c_5563,c_26511]) ).
tcf(c_26913,plain,
( iLess0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26908,c_5563,c_26511]) ).
tcf(c_26916,plain,
sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtpldt0(sz10,sdtpldt0(sz10,xp)))) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_26907,c_5563,c_26511]) ).
tcf(c_26917,plain,
sdtpldt0(sdtpldt0(sz10,xp),sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_26906,c_5563,c_26511]) ).
tcf(c_26918,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp) )
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26905,c_5563,c_26511]) ).
tcf(c_26928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sdtasdt0(xp,xn))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25061,c_91]) ).
tcf(c_26929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25061,c_91]) ).
tcf(c_26930,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_25061,c_68]) ).
tcf(c_26931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25061,c_89]) ).
tcf(c_26932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,xn))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25061,c_89]) ).
tcf(c_26933,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtasdt0(X0,sdtasdt0(xp,xn)) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_25061,c_69]) ).
tcf(c_26934,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26930,c_51,c_50,c_24934]) ).
tcf(c_26938,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xn)) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26933,c_24937,c_50,c_24934]) ).
tcf(c_26942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26932,c_51,c_50,c_24934]) ).
tcf(c_26947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(sz10,X0))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26931,c_51,c_50,c_24934]) ).
tcf(c_26952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26929,c_24937,c_50,c_24934]) ).
tcf(c_26957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sdtasdt0(xp,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26928,c_24937,c_50,c_24934]) ).
tcf(c_27002,plain,
( doDivides0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25062,c_178]) ).
tcf(c_27004,plain,
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25062,c_93]) ).
tcf(c_27005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,xn))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25062,c_91]) ).
tcf(c_27006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25062,c_91]) ).
tcf(c_27007,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtasdt0(sdtasdt0(xp,xn),X0) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_25062,c_68]) ).
tcf(c_27008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25062,c_89]) ).
tcf(c_27009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25062,c_89]) ).
tcf(c_27010,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_25062,c_69]) ).
tcf(c_27011,plain,
doDivides0(sdtasdt0(xp,xn),sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_27002,c_50,c_24934]) ).
tcf(c_27012,plain,
sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_27004,c_51,c_50,c_24934]) ).
tcf(c_27013,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27010,c_51,c_50,c_24934]) ).
tcf(c_27017,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xn),X0) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27007,c_24937,c_50,c_24934]) ).
tcf(c_27021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27009,c_24937,c_50,c_24934]) ).
tcf(c_27026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27008,c_24937,c_50,c_24934]) ).
tcf(c_27031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtasdt0(X0,sz10))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27006,c_51,c_50,c_24934]) ).
tcf(c_27036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27005,c_51,c_50,c_24934]) ).
tcf(c_27045,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_27011,c_105]) ).
tcf(c_27046,plain,
( ( sdtasdt0(xp,xn) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xn),sdtsldt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_27011,c_100]) ).
tcf(c_27049,plain,
( ( sdtasdt0(sdtasdt0(xp,xn),sK1(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_27011,c_97]) ).
tcf(c_27051,plain,
sdtasdt0(sdtasdt0(xp,xn),sK1(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_27049,c_24934]) ).
tcf(c_27052,plain,
sdtasdt0(sdtasdt0(xp,xn),sdtsldt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_27046,c_24937,c_24934]) ).
tcf(c_27053,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xn)),sdtasdt0(xp,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27045,c_24937,c_24934]) ).
tcf(c_27059,plain,
( ( sdtpldt0(sdtasdt0(xp,xn),sdtmndt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_27012,c_78]) ).
tcf(c_27060,plain,
( ( sdtpldt0(sdtasdt0(xp,xn),sK0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn) )
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_27012,c_75]) ).
tcf(c_27062,plain,
sdtpldt0(sdtasdt0(xp,xn),sK0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_27060,c_24934]) ).
tcf(c_27063,plain,
sdtpldt0(sdtasdt0(xp,xn),sdtmndt0(sdtasdt0(xp,xn),sdtasdt0(xp,xn))) = sdtasdt0(xp,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_27059,c_24934]) ).
tcf(c_27070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xn)),sdtasdt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25063,c_87]) ).
tcf(c_27073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25063,c_87]) ).
tcf(c_27074,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_25063,c_66]) ).
tcf(c_27075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25063,c_85]) ).
tcf(c_27076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25063,c_85]) ).
tcf(c_27077,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtpldt0(X0,sdtasdt0(xp,xn)) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_25063,c_67]) ).
tcf(c_27078,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xn)) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27077,c_49,c_24934]) ).
tcf(c_27082,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27074,c_49,c_24934]) ).
tcf(c_27086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(X0,sdtasdt0(xp,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27073,c_49,c_24934]) ).
tcf(c_27091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xn)),sdtasdt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27070,c_49,c_24934]) ).
tcf(c_27096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27076,c_49,c_24934]) ).
tcf(c_27101,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27075,c_49,c_24934]) ).
tcf(c_27114,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25064,c_87]) ).
tcf(c_27115,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25064,c_103]) ).
tcf(c_27117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_25064,c_87]) ).
tcf(c_27118,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtpldt0(sdtasdt0(xp,xn),X0) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_25064,c_66]) ).
tcf(c_27119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25064,c_85]) ).
tcf(c_27120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xn)) ),
inference(superposition,[status(thm)],[c_25064,c_85]) ).
tcf(c_27121,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xn) ) ),
inference(superposition,[status(thm)],[c_25064,c_67]) ).
tcf(c_27122,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27115,c_49,c_24934]) ).
tcf(c_27126,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27121,c_49,c_24934]) ).
tcf(c_27130,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xn),X0) != sdtasdt0(xp,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27118,c_49,c_24934]) ).
tcf(c_27134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xn),X0),sdtasdt0(xp,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27120,c_49,c_24934]) ).
tcf(c_27139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(sdtasdt0(xp,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27119,c_49,c_24934]) ).
tcf(c_27144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xn),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27117,c_49,c_24934]) ).
tcf(c_27149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xn))
| ( sdtasdt0(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27114,c_49,c_24934]) ).
tcf(c_27227,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25706,c_91]) ).
tcf(c_27228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25706,c_91]) ).
tcf(c_27229,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_25706,c_68]) ).
tcf(c_27230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25706,c_89]) ).
tcf(c_27231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25706,c_89]) ).
tcf(c_27232,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_25706,c_69]) ).
tcf(c_27233,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27229,c_51,c_50,c_25647]) ).
tcf(c_27237,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27232,c_50,c_25647]) ).
tcf(c_27242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27231,c_51,c_50,c_25647]) ).
tcf(c_27247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(sz10,X0))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27230,c_51,c_50,c_25647]) ).
tcf(c_27252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27228,c_50,c_25647]) ).
tcf(c_27258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27227,c_50,c_25647]) ).
tcf(c_27271,plain,
( doDivides0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25707,c_178]) ).
tcf(c_27273,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25707,c_93]) ).
tcf(c_27274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25707,c_91]) ).
tcf(c_27275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25707,c_91]) ).
tcf(c_27276,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_25707,c_68]) ).
tcf(c_27277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25707,c_89]) ).
tcf(c_27278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25707,c_89]) ).
tcf(c_27279,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_25707,c_69]) ).
tcf(c_27280,plain,
doDivides0(sdtasdt0(xn,xr),sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_27271,c_50,c_25647]) ).
tcf(c_27281,plain,
sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_27273,c_51,c_50,c_25647]) ).
tcf(c_27282,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27279,c_51,c_50,c_25647]) ).
tcf(c_27286,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27276,c_50,c_25647]) ).
tcf(c_27291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27278,c_50,c_25647]) ).
tcf(c_27297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27277,c_50,c_25647]) ).
tcf(c_27303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,sz10))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27275,c_51,c_50,c_25647]) ).
tcf(c_27308,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27274,c_51,c_50,c_25647]) ).
tcf(c_27317,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27280,c_105]) ).
tcf(c_27318,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27280,c_100]) ).
tcf(c_27321,plain,
( ( sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27280,c_97]) ).
tcf(c_27323,plain,
sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_27321,c_25647]) ).
tcf(c_27324,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27318,c_25647]) ).
tcf(c_27327,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27317,c_25647]) ).
tcf(c_27334,plain,
( ( sdtpldt0(sdtasdt0(xn,xr),sdtmndt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27281,c_78]) ).
tcf(c_27335,plain,
( ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27281,c_75]) ).
tcf(c_27337,plain,
sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_27335,c_25647]) ).
tcf(c_27338,plain,
sdtpldt0(sdtasdt0(xn,xr),sdtmndt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_27334,c_25647]) ).
tcf(c_27345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25708,c_87]) ).
tcf(c_27348,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25708,c_87]) ).
tcf(c_27349,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_25708,c_66]) ).
tcf(c_27350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25708,c_85]) ).
tcf(c_27351,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25708,c_85]) ).
tcf(c_27352,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_25708,c_67]) ).
tcf(c_27353,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27352,c_49,c_25647]) ).
tcf(c_27357,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27349,c_49,c_25647]) ).
tcf(c_27361,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27348,c_49,c_25647]) ).
tcf(c_27366,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27345,c_49,c_25647]) ).
tcf(c_27371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27351,c_49,c_25647]) ).
tcf(c_27376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27350,c_49,c_25647]) ).
tcf(c_27389,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25709,c_87]) ).
tcf(c_27390,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25709,c_103]) ).
tcf(c_27392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25709,c_87]) ).
tcf(c_27393,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_25709,c_66]) ).
tcf(c_27394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25709,c_85]) ).
tcf(c_27395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25709,c_85]) ).
tcf(c_27396,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_25709,c_67]) ).
tcf(c_27397,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27390,c_49,c_25647]) ).
tcf(c_27401,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27396,c_49,c_25647]) ).
tcf(c_27405,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27393,c_49,c_25647]) ).
tcf(c_27409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27395,c_49,c_25647]) ).
tcf(c_27414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27394,c_49,c_25647]) ).
tcf(c_27419,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27392,c_49,c_25647]) ).
tcf(c_27424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27389,c_49,c_25647]) ).
tcf(c_27435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_26574,c_91]) ).
tcf(c_27436,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_26574,c_91]) ).
tcf(c_27440,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ( sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_26574,c_69]) ).
tcf(c_27441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27440,c_26513,c_49,c_26511]) ).
tcf(c_27445,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27436,c_26513,c_49,c_26511]) ).
tcf(c_27450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xp))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27435,c_26513,c_49,c_26511]) ).
tcf(c_27459,plain,
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_26575,c_178]) ).
tcf(c_27464,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp)))
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_26575,c_68]) ).
tcf(c_27465,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_26575,c_89]) ).
tcf(c_27466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_26575,c_89]) ).
tcf(c_27468,plain,
doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_27459,c_49,c_26511]) ).
tcf(c_27469,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27464,c_26513,c_49,c_26511]) ).
tcf(c_27473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27466,c_26513,c_49,c_26511]) ).
tcf(c_27478,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27465,c_26513,c_49,c_26511]) ).
tcf(c_27483,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,sdtpldt0(sz10,xp))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_27468,c_105]) ).
tcf(c_27484,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_27468,c_100]) ).
tcf(c_27486,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_27468,c_101]) ).
tcf(c_27487,plain,
( ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sK1(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xp))) ),
inference(superposition,[status(thm)],[c_27468,c_97]) ).
tcf(c_27489,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27486,c_49,c_26511]) ).
tcf(c_27493,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sK1(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_27487,c_49,c_26511]) ).
tcf(c_27494,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_27484,c_26513,c_49,c_26511]) ).
tcf(c_27495,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,sdtpldt0(sz10,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27483,c_26513,c_49,c_26511]) ).
tcf(c_27505,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4876]) ).
tcf(c_27506,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4876]) ).
tcf(c_27507,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xm) = sdtasdt0(xm,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4876]) ).
tcf(c_27508,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xm) = sdtasdt0(xm,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4876]) ).
tcf(c_27509,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xm) = sdtasdt0(xm,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4876]) ).
tcf(c_27510,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xm) = sdtasdt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4876]) ).
tcf(c_27511,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),xm) = sdtasdt0(xm,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4876]) ).
tcf(c_27512,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),xm) = sdtasdt0(xm,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4876]) ).
tcf(c_27515,plain,
sdtasdt0(xm,xp) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_118,c_4876]) ).
tcf(c_27516,plain,
sdtasdt0(xm,xr) = sdtasdt0(xr,xm),
inference(superposition,[status(thm)],[c_4987,c_4876]) ).
tcf(c_27517,plain,
sdtasdt0(sdtpldt0(sz10,xn),xm) = sdtasdt0(xm,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4876]) ).
tcf(c_27518,plain,
sdtasdt0(sdtpldt0(sz10,xm),xm) = sdtasdt0(xm,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4876]) ).
tcf(c_27519,plain,
sdtasdt0(sdtpldt0(sz10,xp),xm) = sdtasdt0(xm,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4876]) ).
tcf(c_27520,plain,
sdtasdt0(sdtpldt0(sz10,xr),xm) = sdtasdt0(xm,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4876]) ).
tcf(c_27521,plain,
sdtasdt0(sdtpldt0(xn,xm),xm) = sdtasdt0(xm,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4876]) ).
tcf(c_27522,plain,
sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4876]) ).
tcf(c_27523,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),xm) = sdtasdt0(xm,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4876]) ).
tcf(c_27524,plain,
sdtasdt0(sdtasdt0(xp,xn),xm) = sdtasdt0(xm,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4876]) ).
tcf(c_27525,plain,
sdtasdt0(sdtpldt0(xp,xn),xm) = sdtasdt0(xm,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4876]) ).
tcf(c_27526,plain,
sdtasdt0(sdtpldt0(xn,xr),xm) = sdtasdt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4876]) ).
tcf(c_27527,plain,
sdtasdt0(sdtpldt0(xp,xm),xm) = sdtasdt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4876]) ).
tcf(c_27528,plain,
sdtasdt0(sdtpldt0(xm,xr),xm) = sdtasdt0(xm,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4876]) ).
tcf(c_27529,plain,
sdtasdt0(sdtasdt0(xn,xr),xm) = sdtasdt0(xm,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4876]) ).
tcf(c_27530,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),xm) = sdtasdt0(xm,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4876]) ).
tcf(c_27563,plain,
( doDivides0(sz10,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(demodulation,[status(thm)],[c_19489,c_27516]) ).
tcf(c_27564,plain,
doDivides0(xp,sdtasdt0(xm,xr)),
inference(demodulation,[status(thm)],[c_126,c_27516]) ).
tcf(c_27633,plain,
( ( sz00 = xp )
| ( sz00 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_27515,c_72]) ).
tcf(c_27634,plain,
( doDivides0(xm,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_27515,c_178]) ).
tcf(c_27635,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_27515,c_53]) ).
tcf(c_27636,plain,
( sdtlseqdt0(xm,sdtasdt0(xp,xm))
| ( sz00 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_27515,c_93]) ).
tcf(c_27637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xm))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_27515,c_91]) ).
tcf(c_27638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_27515,c_91]) ).
tcf(c_27639,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27515,c_68]) ).
tcf(c_27640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_27515,c_89]) ).
tcf(c_27641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xp,xm))
| ( sz00 = xm )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_27515,c_89]) ).
tcf(c_27642,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27515,c_69]) ).
tcf(c_27643,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_27635,c_118,c_117]) ).
tcf(c_27644,plain,
doDivides0(xm,sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_27634,c_118,c_117]) ).
tcf(c_27645,plain,
sdtlseqdt0(xm,sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_27636,c_19188,c_118,c_117]) ).
tcf(c_27646,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27633,c_19188,c_118,c_117]) ).
tcf(c_27649,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27642,c_19188,c_118,c_117]) ).
tcf(c_27653,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27639,c_118,c_117]) ).
tcf(c_27658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xp,xm))
| ( sz00 = xm )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27641,c_118,c_117]) ).
tcf(c_27664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xm,X0))
| ( sz00 = xm )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27640,c_118,c_117]) ).
tcf(c_27670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27638,c_19188,c_118,c_117]) ).
tcf(c_27675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27637,c_19188,c_118,c_117]) ).
tcf(c_27684,plain,
sdtasdt0(sdtasdt0(xp,xm),xm) = sdtasdt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4876]) ).
tcf(c_27685,plain,
sdtasdt0(sdtasdt0(xp,xm),xn) = sdtasdt0(xn,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4875]) ).
tcf(c_27686,plain,
sdtasdt0(sdtasdt0(xp,xm),sz10) = sdtasdt0(sz10,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4872]) ).
tcf(c_27687,plain,
sdtasdt0(sdtasdt0(xp,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4871]) ).
tcf(c_27688,plain,
sdtpldt0(sdtasdt0(xp,xm),xp) = sdtpldt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4841]) ).
tcf(c_27689,plain,
sdtpldt0(sdtasdt0(xp,xm),xm) = sdtpldt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4840]) ).
tcf(c_27690,plain,
sdtpldt0(sdtasdt0(xp,xm),xn) = sdtpldt0(xn,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4839]) ).
tcf(c_27691,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(X1,sdtasdt0(xp,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27643,c_65]) ).
tcf(c_27692,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtasdt0(sdtasdt0(xp,xm),X1)) = sdtasdt0(sdtasdt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27643,c_64]) ).
tcf(c_27693,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),X0),X1) = sdtasdt0(sdtasdt0(xp,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27643,c_59]) ).
tcf(c_27694,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xm),X0),X1) = sdtpldt0(sdtasdt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27643,c_55]) ).
tcf(c_27695,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27643,c_191]) ).
tcf(c_27696,plain,
sdtpldt0(sdtasdt0(xp,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4836]) ).
tcf(c_27697,plain,
sdtpldt0(sdtasdt0(xp,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4835]) ).
tcf(c_27698,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27643,c_184]) ).
tcf(c_27699,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xm),X0) = sdtasdt0(X0,sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27643,c_58]) ).
tcf(c_27700,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xm),X0) = sdtpldt0(X0,sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27643,c_54]) ).
tcf(c_27701,plain,
sdtasdt0(sz00,sdtasdt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_27643,c_63]) ).
tcf(c_27702,plain,
sdtasdt0(sdtasdt0(xp,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_27643,c_62]) ).
tcf(c_27703,plain,
sdtasdt0(sz10,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_27643,c_61]) ).
tcf(c_27704,plain,
sdtasdt0(sdtasdt0(xp,xm),sz10) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_27643,c_60]) ).
tcf(c_27705,plain,
sdtpldt0(sz00,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_27643,c_57]) ).
tcf(c_27706,plain,
sdtpldt0(sdtasdt0(xp,xm),sz00) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_27643,c_56]) ).
tcf(c_27734,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xr),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_27564,c_105]) ).
tcf(c_27735,plain,
( ( sz00 = xp )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xr),xp)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_27564,c_100]) ).
tcf(c_27736,plain,
( ( sz10 = xp )
| ( sdtasdt0(xm,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_27564,c_112]) ).
tcf(c_27737,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ doDivides0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_27564,c_101]) ).
tcf(c_27738,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_27564,c_97]) ).
tcf(c_27739,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_27564,c_104]) ).
tcf(c_27741,plain,
( sdtlseqdt0(xp,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27739,c_118]) ).
tcf(c_27745,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27738,c_118]) ).
tcf(c_27748,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ doDivides0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27737,c_118]) ).
tcf(c_27753,plain,
( ( sz10 = xp )
| ( sdtasdt0(xm,xr) = xp )
| ~ isPrime0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27736,c_118]) ).
tcf(c_27758,plain,
( ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xr),xp)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27735,c_19188,c_118]) ).
tcf(c_27761,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xr),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),xp) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27734,c_19188,c_118]) ).
tcf(c_27766,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27644,c_105]) ).
tcf(c_27767,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xp,xm),xm)) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27644,c_100]) ).
tcf(c_27768,plain,
( ( sz10 = xm )
| ( sdtasdt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ isPrime0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27644,c_112]) ).
tcf(c_27769,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ doDivides0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_27644,c_101]) ).
tcf(c_27770,plain,
( ( sdtasdt0(xm,sK1(xm,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27644,c_97]) ).
tcf(c_27772,plain,
( doDivides0(sz10,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27644,c_7366]) ).
tcf(c_27773,plain,
doDivides0(sz10,sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_27772,c_27643]) ).
tcf(c_27774,plain,
sdtasdt0(xm,sK1(xm,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_27770,c_117,c_27643]) ).
tcf(c_27775,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27769,c_117,c_27643]) ).
tcf(c_27779,plain,
( ( sz10 = xm )
| ( sdtasdt0(xp,xm) = xm )
| ~ isPrime0(sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27768,c_117,c_27643]) ).
tcf(c_27783,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xp,xm),xm)) = sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27767,c_117,c_27643]) ).
tcf(c_27786,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27766,c_117,c_27643]) ).
tcf(c_27885,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_27645,c_81]) ).
tcf(c_27886,plain,
( ( sdtasdt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xm) ),
inference(superposition,[status(thm)],[c_27645,c_80]) ).
tcf(c_27887,plain,
( ( sdtpldt0(xm,sdtmndt0(sdtasdt0(xp,xm),xm)) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27645,c_78]) ).
tcf(c_27888,plain,
( ( sdtpldt0(xm,sK0(xm,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27645,c_75]) ).
tcf(c_27889,plain,
( iLess0(xm,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27645,c_94]) ).
tcf(c_27890,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27645,c_7088]) ).
tcf(c_27891,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_27890,c_27643]) ).
tcf(c_27892,plain,
( iLess0(xm,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27889,c_117,c_27643]) ).
tcf(c_27895,plain,
sdtpldt0(xm,sK0(xm,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_27888,c_117,c_27643]) ).
tcf(c_27896,plain,
sdtpldt0(xm,sdtmndt0(sdtasdt0(xp,xm),xm)) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_27887,c_117,c_27643]) ).
tcf(c_27897,plain,
( ( sdtasdt0(xp,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27886,c_117,c_27643]) ).
tcf(c_27900,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27885,c_117,c_27643]) ).
tcf(c_27905,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27773,c_105]) ).
tcf(c_27906,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xp,xm),sz10)) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27773,c_100]) ).
tcf(c_27908,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ doDivides0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_27773,c_101]) ).
tcf(c_27909,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27773,c_97]) ).
tcf(c_27910,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27773,c_104]) ).
tcf(c_27911,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27910,c_50,c_27643]) ).
tcf(c_27914,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_27909,c_50,c_27643]) ).
tcf(c_27915,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27908,c_50,c_27643]) ).
tcf(c_27919,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xp,xm),sz10)) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_27906,c_51,c_50,c_27643]) ).
tcf(c_27920,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27905,c_51,c_50,c_27643]) ).
tcf(c_27924,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_27891,c_81]) ).
tcf(c_27925,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sz00) ),
inference(superposition,[status(thm)],[c_27891,c_80]) ).
tcf(c_27926,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xm),sz00)) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27891,c_78]) ).
tcf(c_27927,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27891,c_75]) ).
tcf(c_27928,plain,
( iLess0(sz00,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27891,c_94]) ).
tcf(c_27929,plain,
( iLess0(sz00,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27928,c_49,c_27643]) ).
tcf(c_27932,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_27927,c_49,c_27643]) ).
tcf(c_27933,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xm),sz00)) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_27926,c_49,c_27643]) ).
tcf(c_27934,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27925,c_49,c_27643]) ).
tcf(c_27937,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27924,c_49,c_27643]) ).
tcf(c_27994,plain,
( ( sz00 = xr )
| ( sz00 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_27516,c_72]) ).
tcf(c_27995,plain,
( doDivides0(xr,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_27516,c_178]) ).
tcf(c_27996,plain,
( aNaturalNumber0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_27516,c_53]) ).
tcf(c_27997,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| ( sz00 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_27516,c_93]) ).
tcf(c_27998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xr))
| ( sz00 = xm )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_27516,c_91]) ).
tcf(c_27999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(X0,xm))
| ( sz00 = xm )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_27516,c_91]) ).
tcf(c_28000,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_27516,c_68]) ).
tcf(c_28001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_27516,c_89]) ).
tcf(c_28002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xm,xr))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_27516,c_89]) ).
tcf(c_28003,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_27516,c_69]) ).
tcf(c_28004,plain,
aNaturalNumber0(sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_27996,c_4987,c_117]) ).
tcf(c_28005,plain,
doDivides0(xr,sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_27995,c_4987,c_117]) ).
tcf(c_28006,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| ( sz00 = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27997,c_4987,c_117]) ).
tcf(c_28009,plain,
( ( sz00 = xr )
| ( sz00 = xm )
| ( sdtasdt0(xm,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27994,c_4987,c_117]) ).
tcf(c_28013,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28003,c_4987,c_117]) ).
tcf(c_28018,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28000,c_4987,c_117]) ).
tcf(c_28023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xm,xr))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28002,c_4987,c_117]) ).
tcf(c_28029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28001,c_4987,c_117]) ).
tcf(c_28035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(X0,xm))
| ( sz00 = xm )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27999,c_4987,c_117]) ).
tcf(c_28041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xm,xr))
| ( sz00 = xm )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27998,c_4987,c_117]) ).
tcf(c_28051,plain,
sdtasdt0(sdtasdt0(xm,xr),xm) = sdtasdt0(xm,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4876]) ).
tcf(c_28052,plain,
sdtasdt0(sdtasdt0(xm,xr),xn) = sdtasdt0(xn,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4875]) ).
tcf(c_28053,plain,
sdtasdt0(sdtasdt0(xm,xr),sz10) = sdtasdt0(sz10,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4872]) ).
tcf(c_28054,plain,
sdtasdt0(sdtasdt0(xm,xr),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4871]) ).
tcf(c_28055,plain,
sdtpldt0(sdtasdt0(xm,xr),xp) = sdtpldt0(xp,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4841]) ).
tcf(c_28056,plain,
sdtpldt0(sdtasdt0(xm,xr),xm) = sdtpldt0(xm,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4840]) ).
tcf(c_28057,plain,
sdtpldt0(sdtasdt0(xm,xr),xn) = sdtpldt0(xn,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4839]) ).
tcf(c_28058,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sdtasdt0(X1,sdtasdt0(xm,xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28004,c_65]) ).
tcf(c_28059,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xr),X0),sdtasdt0(sdtasdt0(xm,xr),X1)) = sdtasdt0(sdtasdt0(xm,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28004,c_64]) ).
tcf(c_28060,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xr),X0),X1) = sdtasdt0(sdtasdt0(xm,xr),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28004,c_59]) ).
tcf(c_28061,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,xr),X0),X1) = sdtpldt0(sdtasdt0(xm,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28004,c_55]) ).
tcf(c_28062,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28004,c_191]) ).
tcf(c_28063,plain,
sdtpldt0(sdtasdt0(xm,xr),sz10) = sdtpldt0(sz10,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4836]) ).
tcf(c_28064,plain,
sdtpldt0(sdtasdt0(xm,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4835]) ).
tcf(c_28065,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28004,c_184]) ).
tcf(c_28066,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xr),X0) = sdtasdt0(X0,sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28004,c_58]) ).
tcf(c_28067,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xr),X0) = sdtpldt0(X0,sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28004,c_54]) ).
tcf(c_28068,plain,
sdtasdt0(sz00,sdtasdt0(xm,xr)) = sz00,
inference(superposition,[status(thm)],[c_28004,c_63]) ).
tcf(c_28069,plain,
sdtasdt0(sdtasdt0(xm,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_28004,c_62]) ).
tcf(c_28070,plain,
sdtasdt0(sz10,sdtasdt0(xm,xr)) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_28004,c_61]) ).
tcf(c_28071,plain,
sdtasdt0(sdtasdt0(xm,xr),sz10) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_28004,c_60]) ).
tcf(c_28072,plain,
sdtpldt0(sz00,sdtasdt0(xm,xr)) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_28004,c_57]) ).
tcf(c_28073,plain,
sdtpldt0(sdtasdt0(xm,xr),sz00) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_28004,c_56]) ).
tcf(c_28101,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28005,c_105]) ).
tcf(c_28102,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xm,xr),xr)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28005,c_100]) ).
tcf(c_28103,plain,
( ( sz10 = xr )
| ( sdtasdt0(xm,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ isPrime0(sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28005,c_112]) ).
tcf(c_28104,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ doDivides0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_28005,c_101]) ).
tcf(c_28105,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28005,c_97]) ).
tcf(c_28106,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28005,c_104]) ).
tcf(c_28108,plain,
( sdtlseqdt0(xr,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28106,c_4987,c_28004]) ).
tcf(c_28111,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_28105,c_4987,c_28004]) ).
tcf(c_28112,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28104,c_4987,c_28004]) ).
tcf(c_28116,plain,
( ( sz10 = xr )
| ( sdtasdt0(xm,xr) = xr )
| ~ isPrime0(sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28103,c_4987,c_28004]) ).
tcf(c_28120,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xm,xr),xr)) = sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28102,c_4987,c_28004]) ).
tcf(c_28123,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28101,c_4987,c_28004]) ).
tcf(c_28134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27701,c_91]) ).
tcf(c_28135,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27701,c_91]) ).
tcf(c_28139,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(X0,sdtasdt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_27701,c_69]) ).
tcf(c_28140,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28139,c_49,c_27643]) ).
tcf(c_28145,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28135,c_49,c_27643]) ).
tcf(c_28151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28134,c_49,c_27643]) ).
tcf(c_28160,plain,
( doDivides0(sdtasdt0(xp,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27702,c_178]) ).
tcf(c_28165,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(sdtasdt0(xp,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_27702,c_68]) ).
tcf(c_28166,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27702,c_89]) ).
tcf(c_28167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27702,c_89]) ).
tcf(c_28169,plain,
doDivides0(sdtasdt0(xp,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_28160,c_49,c_27643]) ).
tcf(c_28170,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28165,c_49,c_27643]) ).
tcf(c_28175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28167,c_49,c_27643]) ).
tcf(c_28181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28166,c_49,c_27643]) ).
tcf(c_28187,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28169,c_105]) ).
tcf(c_28188,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(sz00,sdtasdt0(xp,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28169,c_100]) ).
tcf(c_28190,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28169,c_101]) ).
tcf(c_28191,plain,
( ( sdtasdt0(sdtasdt0(xp,xm),sK1(sdtasdt0(xp,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28169,c_97]) ).
tcf(c_28193,plain,
sdtasdt0(sdtasdt0(xp,xm),sK1(sdtasdt0(xp,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28191,c_49,c_27643]) ).
tcf(c_28194,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28190,c_49,c_27643]) ).
tcf(c_28198,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(sz00,sdtasdt0(xp,xm))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28188,c_49,c_27643]) ).
tcf(c_28201,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28187,c_49,c_27643]) ).
tcf(c_28208,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5779,c_71]) ).
tcf(c_28210,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5779,c_181]) ).
tcf(c_28211,plain,
( aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5779,c_52]) ).
tcf(c_28212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5779,c_87]) ).
tcf(c_28213,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(X0,sdtpldt0(sz10,xr))
| ~ doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_5779,c_103]) ).
tcf(c_28214,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5779,c_102]) ).
tcf(c_28215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(X0,sz10))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_5779,c_87]) ).
tcf(c_28216,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,sdtpldt0(sz10,xr)) ) ),
inference(superposition,[status(thm)],[c_5779,c_66]) ).
tcf(c_28217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5779,c_85]) ).
tcf(c_28218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_5779,c_85]) ).
tcf(c_28219,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) != sdtpldt0(X0,sz10) ) ),
inference(superposition,[status(thm)],[c_5779,c_67]) ).
tcf(c_28220,plain,
aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_28211,c_50,c_5773]) ).
tcf(c_28221,plain,
sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_28210,c_50,c_5773]) ).
tcf(c_28222,plain,
sdtpldt0(sz10,sdtpldt0(sz10,xr)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28208,c_51,c_50,c_5773]) ).
tcf(c_28223,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) != sdtpldt0(X0,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28219,c_50,c_5773]) ).
tcf(c_28227,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,sdtpldt0(sz10,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28216,c_50,c_5773]) ).
tcf(c_28231,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28214,c_50,c_5773]) ).
tcf(c_28236,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xr))
| ~ doDivides0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28213,c_50,c_5773]) ).
tcf(c_28241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28218,c_50,c_5773]) ).
tcf(c_28246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28217,c_50,c_5773]) ).
tcf(c_28251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(X0,sz10))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28215,c_50,c_5773]) ).
tcf(c_28256,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28212,c_50,c_5773]) ).
tcf(c_28275,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),xm) = sdtasdt0(xm,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4876]) ).
tcf(c_28276,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),xn) = sdtasdt0(xn,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4875]) ).
tcf(c_28277,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz10) = sdtasdt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4872]) ).
tcf(c_28278,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4871]) ).
tcf(c_28279,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),xp) = sdtpldt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4841]) ).
tcf(c_28280,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),xm) = sdtpldt0(xm,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4840]) ).
tcf(c_28281,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),xn) = sdtpldt0(xn,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4839]) ).
tcf(c_28282,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))),sdtasdt0(X1,sdtpldt0(sz10,sdtpldt0(sz10,xr)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz10,sdtpldt0(sz10,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28220,c_65]) ).
tcf(c_28283,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0),sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X1)) = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28220,c_64]) ).
tcf(c_28284,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0),X1) = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28220,c_59]) ).
tcf(c_28285,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0),X1) = sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28220,c_55]) ).
tcf(c_28286,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0),sdtpldt0(sz10,sdtpldt0(sz10,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28220,c_191]) ).
tcf(c_28287,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4836]) ).
tcf(c_28288,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4835]) ).
tcf(c_28289,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0),sdtpldt0(sz10,sdtpldt0(sz10,xr))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28220,c_184]) ).
tcf(c_28290,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0) = sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28220,c_58]) ).
tcf(c_28291,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0) = sdtpldt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28220,c_54]) ).
tcf(c_28292,plain,
sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr))) = sz00,
inference(superposition,[status(thm)],[c_28220,c_63]) ).
tcf(c_28293,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28220,c_62]) ).
tcf(c_28294,plain,
sdtasdt0(sz10,sdtpldt0(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_28220,c_61]) ).
tcf(c_28295,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_28220,c_60]) ).
tcf(c_28296,plain,
sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_28220,c_57]) ).
tcf(c_28297,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_28220,c_56]) ).
tcf(c_28393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28068,c_91]) ).
tcf(c_28394,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28068,c_91]) ).
tcf(c_28398,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtasdt0(X0,sdtasdt0(xm,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_28068,c_69]) ).
tcf(c_28399,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28398,c_49,c_28004]) ).
tcf(c_28404,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28394,c_49,c_28004]) ).
tcf(c_28410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28393,c_49,c_28004]) ).
tcf(c_28419,plain,
( doDivides0(sdtasdt0(xm,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28069,c_178]) ).
tcf(c_28424,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtasdt0(sdtasdt0(xm,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_28069,c_68]) ).
tcf(c_28425,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28069,c_89]) ).
tcf(c_28426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28069,c_89]) ).
tcf(c_28428,plain,
doDivides0(sdtasdt0(xm,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_28419,c_49,c_28004]) ).
tcf(c_28429,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28424,c_49,c_28004]) ).
tcf(c_28434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28426,c_49,c_28004]) ).
tcf(c_28440,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28425,c_49,c_28004]) ).
tcf(c_28446,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xm,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28428,c_105]) ).
tcf(c_28447,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xr),sdtsldt0(sz00,sdtasdt0(xm,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28428,c_100]) ).
tcf(c_28449,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28428,c_101]) ).
tcf(c_28450,plain,
( ( sdtasdt0(sdtasdt0(xm,xr),sK1(sdtasdt0(xm,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28428,c_97]) ).
tcf(c_28452,plain,
sdtasdt0(sdtasdt0(xm,xr),sK1(sdtasdt0(xm,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28450,c_49,c_28004]) ).
tcf(c_28453,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xm,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28449,c_49,c_28004]) ).
tcf(c_28457,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xr),sdtsldt0(sz00,sdtasdt0(xm,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28447,c_49,c_28004]) ).
tcf(c_28460,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xm,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28446,c_49,c_28004]) ).
tcf(c_28465,plain,
sdtlseqdt0(xr,sdtasdt0(xm,xr)),
inference(global_subsumption_just,[status(thm)],[c_28006,c_118,c_117,c_49,c_130,c_135,c_153,c_4785,c_4903,c_5033,c_5354,c_5691,c_10446,c_28006]) ).
tcf(c_28467,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_28465,c_81]) ).
tcf(c_28468,plain,
( ( sdtasdt0(xm,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),xr) ),
inference(superposition,[status(thm)],[c_28465,c_80]) ).
tcf(c_28469,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xm,xr),xr)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28465,c_78]) ).
tcf(c_28470,plain,
( ( sdtpldt0(xr,sK0(xr,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28465,c_75]) ).
tcf(c_28471,plain,
( iLess0(xr,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28465,c_94]) ).
tcf(c_28472,plain,
( sdtlseqdt0(sz00,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28465,c_7080]) ).
tcf(c_28473,plain,
sdtlseqdt0(sz00,sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_28472,c_28004]) ).
tcf(c_28474,plain,
( iLess0(xr,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28471,c_4987,c_28004]) ).
tcf(c_28477,plain,
sdtpldt0(xr,sK0(xr,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_28470,c_4987,c_28004]) ).
tcf(c_28478,plain,
sdtpldt0(xr,sdtmndt0(sdtasdt0(xm,xr),xr)) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_28469,c_4987,c_28004]) ).
tcf(c_28479,plain,
( ( sdtasdt0(xm,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xm,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28468,c_4987,c_28004]) ).
tcf(c_28482,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28467,c_4987,c_28004]) ).
tcf(c_28538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_28473,c_81]) ).
tcf(c_28539,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),sz00) ),
inference(superposition,[status(thm)],[c_28473,c_80]) ).
tcf(c_28540,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xr),sz00)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28473,c_78]) ).
tcf(c_28541,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28473,c_75]) ).
tcf(c_28542,plain,
( iLess0(sz00,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28473,c_94]) ).
tcf(c_28543,plain,
( iLess0(sz00,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28542,c_49,c_28004]) ).
tcf(c_28546,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_28541,c_49,c_28004]) ).
tcf(c_28547,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xm,xr),sz00)) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_28540,c_49,c_28004]) ).
tcf(c_28548,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xm,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28539,c_49,c_28004]) ).
tcf(c_28551,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28538,c_49,c_28004]) ).
tcf(c_28561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0) ),
inference(superposition,[status(thm)],[c_28221,c_81]) ).
tcf(c_28562,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_28221,c_80]) ).
tcf(c_28563,plain,
( ( sdtpldt0(sdtpldt0(sz10,xr),sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_28221,c_78]) ).
tcf(c_28564,plain,
( ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtpldt0(sz10,sdtpldt0(sz10,xr)))) = sdtpldt0(sz10,sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_28221,c_75]) ).
tcf(c_28565,plain,
( iLess0(sdtpldt0(sz10,xr),sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_28221,c_94]) ).
tcf(c_28566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28561,c_5773,c_28220]) ).
tcf(c_28570,plain,
( iLess0(sdtpldt0(sz10,xr),sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28565,c_5773,c_28220]) ).
tcf(c_28573,plain,
sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtpldt0(sz10,sdtpldt0(sz10,xr)))) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_28564,c_5773,c_28220]) ).
tcf(c_28574,plain,
sdtpldt0(sdtpldt0(sz10,xr),sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_28563,c_5773,c_28220]) ).
tcf(c_28575,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sdtpldt0(sz10,xr) )
| ~ sdtlseqdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28562,c_5773,c_28220]) ).
tcf(c_28585,plain,
doDivides0(sz10,sdtasdt0(xm,xr)),
inference(global_subsumption_just,[status(thm)],[c_27563,c_117,c_4987,c_22521,c_27563]) ).
tcf(c_28587,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28585,c_105]) ).
tcf(c_28588,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xm,xr),sz10)) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28585,c_100]) ).
tcf(c_28590,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ doDivides0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_28585,c_101]) ).
tcf(c_28591,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28585,c_97]) ).
tcf(c_28592,plain,
( sdtlseqdt0(sz10,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28585,c_104]) ).
tcf(c_28593,plain,
( sdtlseqdt0(sz10,sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28592,c_50,c_28004]) ).
tcf(c_28596,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_28591,c_50,c_28004]) ).
tcf(c_28597,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28590,c_50,c_28004]) ).
tcf(c_28601,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xm,xr),sz10)) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_28588,c_51,c_50,c_28004]) ).
tcf(c_28602,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28587,c_51,c_50,c_28004]) ).
tcf(c_28660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27703,c_91]) ).
tcf(c_28661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27703,c_91]) ).
tcf(c_28662,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27703,c_68]) ).
tcf(c_28663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_27703,c_89]) ).
tcf(c_28664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27703,c_89]) ).
tcf(c_28665,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(X0,sdtasdt0(xp,xm)) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27703,c_69]) ).
tcf(c_28666,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28662,c_51,c_50,c_27643]) ).
tcf(c_28670,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xm)) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28665,c_50,c_27643]) ).
tcf(c_28675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28664,c_51,c_50,c_27643]) ).
tcf(c_28680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(sz10,X0))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28663,c_51,c_50,c_27643]) ).
tcf(c_28685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28661,c_50,c_27643]) ).
tcf(c_28691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28660,c_50,c_27643]) ).
tcf(c_28704,plain,
( doDivides0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27704,c_178]) ).
tcf(c_28706,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27704,c_93]) ).
tcf(c_28707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27704,c_91]) ).
tcf(c_28708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_27704,c_91]) ).
tcf(c_28709,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27704,c_68]) ).
tcf(c_28710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27704,c_89]) ).
tcf(c_28711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27704,c_89]) ).
tcf(c_28712,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27704,c_69]) ).
tcf(c_28713,plain,
doDivides0(sdtasdt0(xp,xm),sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_28704,c_50,c_27643]) ).
tcf(c_28714,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_28706,c_51,c_50,c_27643]) ).
tcf(c_28715,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28712,c_51,c_50,c_27643]) ).
tcf(c_28719,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28709,c_50,c_27643]) ).
tcf(c_28724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28711,c_50,c_27643]) ).
tcf(c_28730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28710,c_50,c_27643]) ).
tcf(c_28736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,sz10))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28708,c_51,c_50,c_27643]) ).
tcf(c_28741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28707,c_51,c_50,c_27643]) ).
tcf(c_28750,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28713,c_105]) ).
tcf(c_28751,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28713,c_100]) ).
tcf(c_28754,plain,
( ( sdtasdt0(sdtasdt0(xp,xm),sK1(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28713,c_97]) ).
tcf(c_28756,plain,
sdtasdt0(sdtasdt0(xp,xm),sK1(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_28754,c_27643]) ).
tcf(c_28757,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28751,c_27643]) ).
tcf(c_28760,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28750,c_27643]) ).
tcf(c_28767,plain,
( ( sdtpldt0(sdtasdt0(xp,xm),sdtmndt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28714,c_78]) ).
tcf(c_28768,plain,
( ( sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28714,c_75]) ).
tcf(c_28770,plain,
sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_28768,c_27643]) ).
tcf(c_28771,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtmndt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_28767,c_27643]) ).
tcf(c_28778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27705,c_87]) ).
tcf(c_28781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27705,c_87]) ).
tcf(c_28782,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27705,c_66]) ).
tcf(c_28783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_27705,c_85]) ).
tcf(c_28784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27705,c_85]) ).
tcf(c_28785,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtpldt0(X0,sdtasdt0(xp,xm)) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27705,c_67]) ).
tcf(c_28786,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xm)) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28785,c_49,c_27643]) ).
tcf(c_28790,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28782,c_49,c_27643]) ).
tcf(c_28794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28781,c_49,c_27643]) ).
tcf(c_28799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28778,c_49,c_27643]) ).
tcf(c_28804,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28784,c_49,c_27643]) ).
tcf(c_28809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28783,c_49,c_27643]) ).
tcf(c_28844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27706,c_87]) ).
tcf(c_28845,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27706,c_103]) ).
tcf(c_28847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_27706,c_87]) ).
tcf(c_28848,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27706,c_66]) ).
tcf(c_28849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27706,c_85]) ).
tcf(c_28850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_27706,c_85]) ).
tcf(c_28851,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_27706,c_67]) ).
tcf(c_28852,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28845,c_49,c_27643]) ).
tcf(c_28856,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28851,c_49,c_27643]) ).
tcf(c_28860,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28848,c_49,c_27643]) ).
tcf(c_28864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28850,c_49,c_27643]) ).
tcf(c_28869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28849,c_49,c_27643]) ).
tcf(c_28874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28847,c_49,c_27643]) ).
tcf(c_28879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28844,c_49,c_27643]) ).
tcf(c_28912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sdtasdt0(xm,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28070,c_91]) ).
tcf(c_28913,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28070,c_91]) ).
tcf(c_28914,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_28070,c_68]) ).
tcf(c_28915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_28070,c_89]) ).
tcf(c_28916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xm,xr))
| ( sz00 = sz10 )
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28070,c_89]) ).
tcf(c_28917,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtasdt0(X0,sdtasdt0(xm,xr)) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_28070,c_69]) ).
tcf(c_28918,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28914,c_51,c_50,c_28004]) ).
tcf(c_28922,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xm,xr)) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28917,c_50,c_28004]) ).
tcf(c_28927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28916,c_51,c_50,c_28004]) ).
tcf(c_28932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(sz10,X0))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28915,c_51,c_50,c_28004]) ).
tcf(c_28937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28913,c_50,c_28004]) ).
tcf(c_28943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sdtasdt0(xm,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28912,c_50,c_28004]) ).
tcf(c_28975,plain,
( doDivides0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28071,c_178]) ).
tcf(c_28977,plain,
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28071,c_93]) ).
tcf(c_28978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xm,xr))
| ( sz00 = sz10 )
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28071,c_91]) ).
tcf(c_28979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_28071,c_91]) ).
tcf(c_28980,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtasdt0(sdtasdt0(xm,xr),X0) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_28071,c_68]) ).
tcf(c_28981,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28071,c_89]) ).
tcf(c_28982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28071,c_89]) ).
tcf(c_28983,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_28071,c_69]) ).
tcf(c_28984,plain,
doDivides0(sdtasdt0(xm,xr),sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_28975,c_50,c_28004]) ).
tcf(c_28985,plain,
sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_28977,c_51,c_50,c_28004]) ).
tcf(c_28986,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28983,c_51,c_50,c_28004]) ).
tcf(c_28990,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xm,xr),X0) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28980,c_50,c_28004]) ).
tcf(c_28995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28982,c_50,c_28004]) ).
tcf(c_29001,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xm,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28981,c_50,c_28004]) ).
tcf(c_29007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtasdt0(X0,sz10))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28979,c_51,c_50,c_28004]) ).
tcf(c_29012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28978,c_51,c_50,c_28004]) ).
tcf(c_29047,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28984,c_105]) ).
tcf(c_29048,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xr),sdtsldt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28984,c_100]) ).
tcf(c_29051,plain,
( ( sdtasdt0(sdtasdt0(xm,xr),sK1(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28984,c_97]) ).
tcf(c_29053,plain,
sdtasdt0(sdtasdt0(xm,xr),sK1(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29051,c_28004]) ).
tcf(c_29054,plain,
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xm,xr),sdtsldt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29048,c_28004]) ).
tcf(c_29057,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xm,xr)),sdtasdt0(xm,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29047,c_28004]) ).
tcf(c_29064,plain,
( ( sdtpldt0(sdtasdt0(xm,xr),sdtmndt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28985,c_78]) ).
tcf(c_29065,plain,
( ( sdtpldt0(sdtasdt0(xm,xr),sK0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr) )
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28985,c_75]) ).
tcf(c_29067,plain,
sdtpldt0(sdtasdt0(xm,xr),sK0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29065,c_28004]) ).
tcf(c_29068,plain,
sdtpldt0(sdtasdt0(xm,xr),sdtmndt0(sdtasdt0(xm,xr),sdtasdt0(xm,xr))) = sdtasdt0(xm,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29064,c_28004]) ).
tcf(c_29105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xr)),sdtasdt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28072,c_87]) ).
tcf(c_29108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28072,c_87]) ).
tcf(c_29109,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_28072,c_66]) ).
tcf(c_29110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_28072,c_85]) ).
tcf(c_29111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28072,c_85]) ).
tcf(c_29112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtpldt0(X0,sdtasdt0(xm,xr)) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_28072,c_67]) ).
tcf(c_29113,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xm,xr)) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29112,c_49,c_28004]) ).
tcf(c_29117,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29109,c_49,c_28004]) ).
tcf(c_29121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(X0,sdtasdt0(xm,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29108,c_49,c_28004]) ).
tcf(c_29126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xm,xr)),sdtasdt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29105,c_49,c_28004]) ).
tcf(c_29131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29111,c_49,c_28004]) ).
tcf(c_29136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29110,c_49,c_28004]) ).
tcf(c_29401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28073,c_87]) ).
tcf(c_29402,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ doDivides0(X0,sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28073,c_103]) ).
tcf(c_29404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(superposition,[status(thm)],[c_28073,c_87]) ).
tcf(c_29405,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtpldt0(sdtasdt0(xm,xr),X0) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_28073,c_66]) ).
tcf(c_29406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28073,c_85]) ).
tcf(c_29407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(superposition,[status(thm)],[c_28073,c_85]) ).
tcf(c_29408,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xr) ) ),
inference(superposition,[status(thm)],[c_28073,c_67]) ).
tcf(c_29409,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29402,c_49,c_28004]) ).
tcf(c_29413,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29408,c_49,c_28004]) ).
tcf(c_29417,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xm,xr),X0) != sdtasdt0(xm,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29405,c_49,c_28004]) ).
tcf(c_29421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xm,xr),X0),sdtasdt0(xm,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29407,c_49,c_28004]) ).
tcf(c_29426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(sdtasdt0(xm,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29406,c_49,c_28004]) ).
tcf(c_29431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xm,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29404,c_49,c_28004]) ).
tcf(c_29436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xm,xr))
| ( sdtasdt0(xm,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29401,c_49,c_28004]) ).
tcf(c_29447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_28292,c_91]) ).
tcf(c_29448,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_28292,c_91]) ).
tcf(c_29452,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ( sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_28292,c_69]) ).
tcf(c_29453,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29452,c_28222,c_49,c_28220]) ).
tcf(c_29457,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29448,c_28222,c_49,c_28220]) ).
tcf(c_29462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,sdtpldt0(sz10,xr))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29447,c_28222,c_49,c_28220]) ).
tcf(c_29521,plain,
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_28293,c_178]) ).
tcf(c_29526,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr)))
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_28293,c_68]) ).
tcf(c_29527,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_28293,c_89]) ).
tcf(c_29528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_28293,c_89]) ).
tcf(c_29530,plain,
doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_29521,c_49,c_28220]) ).
tcf(c_29531,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29526,c_28222,c_49,c_28220]) ).
tcf(c_29535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29528,c_28222,c_49,c_28220]) ).
tcf(c_29540,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29527,c_28222,c_49,c_28220]) ).
tcf(c_29545,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,sdtpldt0(sz10,xr))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_29530,c_105]) ).
tcf(c_29546,plain,
( ( sdtpldt0(sz10,sdtpldt0(sz10,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_29530,c_100]) ).
tcf(c_29548,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_29530,c_101]) ).
tcf(c_29549,plain,
( ( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sK1(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,sdtpldt0(sz10,xr))) ),
inference(superposition,[status(thm)],[c_29530,c_97]) ).
tcf(c_29551,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29548,c_49,c_28220]) ).
tcf(c_29555,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sK1(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_29549,c_49,c_28220]) ).
tcf(c_29556,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_29546,c_28222,c_49,c_28220]) ).
tcf(c_29557,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,sdtpldt0(sz10,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29545,c_28222,c_49,c_28220]) ).
tcf(c_29567,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4877]) ).
tcf(c_29568,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4877]) ).
tcf(c_29569,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xp) = sdtasdt0(xp,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_4877]) ).
tcf(c_29570,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xp) = sdtasdt0(xp,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_4877]) ).
tcf(c_29571,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xp) = sdtasdt0(xp,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_4877]) ).
tcf(c_29572,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xp) = sdtasdt0(xp,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_4877]) ).
tcf(c_29573,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),xp) = sdtasdt0(xp,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_4877]) ).
tcf(c_29574,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),xp) = sdtasdt0(xp,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_4877]) ).
tcf(c_29578,plain,
sdtasdt0(xp,xr) = sdtasdt0(xr,xp),
inference(superposition,[status(thm)],[c_4987,c_4877]) ).
tcf(c_29579,plain,
sdtasdt0(sdtpldt0(sz10,xn),xp) = sdtasdt0(xp,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_4877]) ).
tcf(c_29580,plain,
sdtasdt0(sdtpldt0(sz10,xm),xp) = sdtasdt0(xp,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_4877]) ).
tcf(c_29581,plain,
sdtasdt0(sdtpldt0(sz10,xp),xp) = sdtasdt0(xp,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_4877]) ).
tcf(c_29582,plain,
sdtasdt0(sdtpldt0(sz10,xr),xp) = sdtasdt0(xp,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_4877]) ).
tcf(c_29583,plain,
sdtasdt0(sdtpldt0(xn,xm),xp) = sdtasdt0(xp,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_4877]) ).
tcf(c_29584,plain,
sdtasdt0(sdtasdt0(xn,xm),xp) = sdtasdt0(xp,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_4877]) ).
tcf(c_29585,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),xp) = sdtasdt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_4877]) ).
tcf(c_29586,plain,
sdtasdt0(sdtasdt0(xm,xr),xp) = sdtasdt0(xp,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_4877]) ).
tcf(c_29587,plain,
sdtasdt0(sdtasdt0(xp,xm),xp) = sdtasdt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_4877]) ).
tcf(c_29588,plain,
sdtasdt0(sdtasdt0(xp,xn),xp) = sdtasdt0(xp,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_4877]) ).
tcf(c_29589,plain,
sdtasdt0(sdtpldt0(xp,xn),xp) = sdtasdt0(xp,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_4877]) ).
tcf(c_29590,plain,
sdtasdt0(sdtpldt0(xn,xr),xp) = sdtasdt0(xp,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_4877]) ).
tcf(c_29591,plain,
sdtasdt0(sdtpldt0(xp,xm),xp) = sdtasdt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_4877]) ).
tcf(c_29592,plain,
sdtasdt0(sdtpldt0(xm,xr),xp) = sdtasdt0(xp,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_4877]) ).
tcf(c_29593,plain,
sdtasdt0(sdtasdt0(xn,xr),xp) = sdtasdt0(xp,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_4877]) ).
tcf(c_29594,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),xp) = sdtasdt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_4877]) ).
tcf(c_29595,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),xp) = sdtasdt0(xp,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_4877]) ).
tcf(c_29635,plain,
( ( sz00 = xr )
| ( sz00 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xp,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_29578,c_72]) ).
tcf(c_29636,plain,
( doDivides0(xr,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_29578,c_178]) ).
tcf(c_29637,plain,
( aNaturalNumber0(sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_29578,c_53]) ).
tcf(c_29638,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xr))
| ( sz00 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_29578,c_93]) ).
tcf(c_29639,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xr))
| ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_29578,c_91]) ).
tcf(c_29640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,xp))
| ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_29578,c_91]) ).
tcf(c_29641,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29578,c_68]) ).
tcf(c_29642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_29578,c_89]) ).
tcf(c_29643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xp,xr))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_29578,c_89]) ).
tcf(c_29644,plain,
! [X0: $i] :
( ( sz00 = xp )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29578,c_69]) ).
tcf(c_29645,plain,
aNaturalNumber0(sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_29637,c_4987,c_118]) ).
tcf(c_29646,plain,
doDivides0(xr,sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_29636,c_4987,c_118]) ).
tcf(c_29647,plain,
sdtlseqdt0(xr,sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_29638,c_19188,c_4987,c_118]) ).
tcf(c_29648,plain,
( ( sz00 = xr )
| ( sdtasdt0(xp,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29635,c_19188,c_4987,c_118]) ).
tcf(c_29651,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29644,c_19188,c_4987,c_118]) ).
tcf(c_29655,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29641,c_4987,c_118]) ).
tcf(c_29660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xp,xr))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29643,c_4987,c_118]) ).
tcf(c_29666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29642,c_4987,c_118]) ).
tcf(c_29672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29640,c_19188,c_4987,c_118]) ).
tcf(c_29677,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29639,c_19188,c_4987,c_118]) ).
tcf(c_29686,plain,
sdtasdt0(sdtasdt0(xp,xr),xp) = sdtasdt0(xp,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4877]) ).
tcf(c_29687,plain,
sdtasdt0(sdtasdt0(xp,xr),xm) = sdtasdt0(xm,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4876]) ).
tcf(c_29688,plain,
sdtasdt0(sdtasdt0(xp,xr),xn) = sdtasdt0(xn,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4875]) ).
tcf(c_29689,plain,
sdtasdt0(sdtasdt0(xp,xr),sz10) = sdtasdt0(sz10,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4872]) ).
tcf(c_29690,plain,
sdtasdt0(sdtasdt0(xp,xr),sz00) = sdtasdt0(sz00,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4871]) ).
tcf(c_29691,plain,
sdtpldt0(sdtasdt0(xp,xr),xp) = sdtpldt0(xp,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4841]) ).
tcf(c_29692,plain,
sdtpldt0(sdtasdt0(xp,xr),xm) = sdtpldt0(xm,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4840]) ).
tcf(c_29693,plain,
sdtpldt0(sdtasdt0(xp,xr),xn) = sdtpldt0(xn,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4839]) ).
tcf(c_29694,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sdtasdt0(X1,sdtasdt0(xp,xr))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29645,c_65]) ).
tcf(c_29695,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xr),X0),sdtasdt0(sdtasdt0(xp,xr),X1)) = sdtasdt0(sdtasdt0(xp,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29645,c_64]) ).
tcf(c_29696,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xr),X0),X1) = sdtasdt0(sdtasdt0(xp,xr),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29645,c_59]) ).
tcf(c_29697,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xr),X0),X1) = sdtpldt0(sdtasdt0(xp,xr),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29645,c_55]) ).
tcf(c_29698,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29645,c_191]) ).
tcf(c_29699,plain,
sdtpldt0(sdtasdt0(xp,xr),sz10) = sdtpldt0(sz10,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4836]) ).
tcf(c_29700,plain,
sdtpldt0(sdtasdt0(xp,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_4835]) ).
tcf(c_29701,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29645,c_184]) ).
tcf(c_29702,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xr),X0) = sdtasdt0(X0,sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29645,c_58]) ).
tcf(c_29703,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xr),X0) = sdtpldt0(X0,sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29645,c_54]) ).
tcf(c_29704,plain,
sdtasdt0(sz00,sdtasdt0(xp,xr)) = sz00,
inference(superposition,[status(thm)],[c_29645,c_63]) ).
tcf(c_29705,plain,
sdtasdt0(sdtasdt0(xp,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_29645,c_62]) ).
tcf(c_29706,plain,
sdtasdt0(sz10,sdtasdt0(xp,xr)) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_29645,c_61]) ).
tcf(c_29707,plain,
sdtasdt0(sdtasdt0(xp,xr),sz10) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_29645,c_60]) ).
tcf(c_29708,plain,
sdtpldt0(sz00,sdtasdt0(xp,xr)) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_29645,c_57]) ).
tcf(c_29709,plain,
sdtpldt0(sdtasdt0(xp,xr),sz00) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_29645,c_56]) ).
tcf(c_29756,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29646,c_105]) ).
tcf(c_29757,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29646,c_100]) ).
tcf(c_29758,plain,
( ( sz10 = xr )
| ( sdtasdt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ isPrime0(sdtasdt0(xp,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29646,c_112]) ).
tcf(c_29759,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ doDivides0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_29646,c_101]) ).
tcf(c_29760,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29646,c_97]) ).
tcf(c_29762,plain,
( doDivides0(sz10,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29646,c_7346]) ).
tcf(c_29763,plain,
doDivides0(sz10,sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_29762,c_29645]) ).
tcf(c_29764,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29760,c_4987,c_29645]) ).
tcf(c_29765,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29759,c_4987,c_29645]) ).
tcf(c_29769,plain,
( ( sz10 = xr )
| ( sdtasdt0(xp,xr) = xr )
| ~ isPrime0(sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29758,c_4987,c_29645]) ).
tcf(c_29773,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29757,c_4987,c_29645]) ).
tcf(c_29776,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29756,c_4987,c_29645]) ).
tcf(c_29781,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_29647,c_81]) ).
tcf(c_29782,plain,
( ( sdtasdt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xr) ),
inference(superposition,[status(thm)],[c_29647,c_80]) ).
tcf(c_29783,plain,
( ( sdtpldt0(xr,sdtmndt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29647,c_78]) ).
tcf(c_29784,plain,
( ( sdtpldt0(xr,sK0(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29647,c_75]) ).
tcf(c_29785,plain,
( iLess0(xr,sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29647,c_94]) ).
tcf(c_29786,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29647,c_7080]) ).
tcf(c_29787,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_29786,c_29645]) ).
tcf(c_29788,plain,
( iLess0(xr,sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29785,c_4987,c_29645]) ).
tcf(c_29791,plain,
sdtpldt0(xr,sK0(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29784,c_4987,c_29645]) ).
tcf(c_29792,plain,
sdtpldt0(xr,sdtmndt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29783,c_4987,c_29645]) ).
tcf(c_29793,plain,
( ( sdtasdt0(xp,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29782,c_4987,c_29645]) ).
tcf(c_29796,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29781,c_4987,c_29645]) ).
tcf(c_29819,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29763,c_105]) ).
tcf(c_29820,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xp,xr),sz10)) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29763,c_100]) ).
tcf(c_29822,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ doDivides0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_29763,c_101]) ).
tcf(c_29823,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29763,c_97]) ).
tcf(c_29824,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29763,c_104]) ).
tcf(c_29825,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29824,c_50,c_29645]) ).
tcf(c_29828,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29823,c_50,c_29645]) ).
tcf(c_29829,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29822,c_50,c_29645]) ).
tcf(c_29833,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xp,xr),sz10)) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29820,c_51,c_50,c_29645]) ).
tcf(c_29834,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29819,c_51,c_50,c_29645]) ).
tcf(c_29838,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_29787,c_81]) ).
tcf(c_29839,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),sz00) ),
inference(superposition,[status(thm)],[c_29787,c_80]) ).
tcf(c_29840,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xr),sz00)) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29787,c_78]) ).
tcf(c_29841,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29787,c_75]) ).
tcf(c_29842,plain,
( iLess0(sz00,sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29787,c_94]) ).
tcf(c_29843,plain,
( iLess0(sz00,sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29842,c_49,c_29645]) ).
tcf(c_29846,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29841,c_49,c_29645]) ).
tcf(c_29847,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,xr),sz00)) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_29840,c_49,c_29645]) ).
tcf(c_29848,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29839,c_49,c_29645]) ).
tcf(c_29851,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29838,c_49,c_29645]) ).
tcf(c_29861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29704,c_91]) ).
tcf(c_29862,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29704,c_91]) ).
tcf(c_29866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(X0,sdtasdt0(xp,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_29704,c_69]) ).
tcf(c_29867,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29866,c_49,c_29645]) ).
tcf(c_29872,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29862,c_49,c_29645]) ).
tcf(c_29878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29861,c_49,c_29645]) ).
tcf(c_29894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xr)),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6098,c_87]) ).
tcf(c_29895,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xr))
| ( sz00 = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6098,c_103]) ).
tcf(c_29896,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ doDivides0(X0,sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6098,c_102]) ).
tcf(c_29897,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz10,xr)))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6098,c_87]) ).
tcf(c_29898,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6098,c_66]) ).
tcf(c_29899,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sz00 = xr )
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ sdtlseqdt0(sK0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_6098,c_85]) ).
tcf(c_29900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sz00 = xr )
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6098,c_85]) ).
tcf(c_29901,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sdtpldt0(X0,sK0(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6098,c_67]) ).
tcf(c_29902,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sdtpldt0(X0,sK0(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29901,c_50]) ).
tcf(c_29908,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29898,c_50]) ).
tcf(c_29914,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ doDivides0(X0,sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29896,c_50]) ).
tcf(c_29921,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xr))
| ( sz00 = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29895,c_50]) ).
tcf(c_29928,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz10,xr)))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29897,c_50]) ).
tcf(c_29935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xr)),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29894,c_50]) ).
tcf(c_29942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sz00 = xr )
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29900,c_50]) ).
tcf(c_29949,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sz00 = xr )
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ sdtlseqdt0(sK0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29899,c_50]) ).
tcf(c_29991,plain,
( doDivides0(sdtasdt0(xp,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29705,c_178]) ).
tcf(c_29996,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(sdtasdt0(xp,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29705,c_68]) ).
tcf(c_29997,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29705,c_89]) ).
tcf(c_29998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29705,c_89]) ).
tcf(c_30000,plain,
doDivides0(sdtasdt0(xp,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_29991,c_49,c_29645]) ).
tcf(c_30001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29996,c_49,c_29645]) ).
tcf(c_30006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29998,c_49,c_29645]) ).
tcf(c_30012,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29997,c_49,c_29645]) ).
tcf(c_30018,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30000,c_105]) ).
tcf(c_30019,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xr),sdtsldt0(sz00,sdtasdt0(xp,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30000,c_100]) ).
tcf(c_30021,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30000,c_101]) ).
tcf(c_30022,plain,
( ( sdtasdt0(sdtasdt0(xp,xr),sK1(sdtasdt0(xp,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30000,c_97]) ).
tcf(c_30024,plain,
sdtasdt0(sdtasdt0(xp,xr),sK1(sdtasdt0(xp,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30022,c_49,c_29645]) ).
tcf(c_30025,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30021,c_49,c_29645]) ).
tcf(c_30029,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xr),sdtsldt0(sz00,sdtasdt0(xp,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30019,c_49,c_29645]) ).
tcf(c_30032,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30018,c_49,c_29645]) ).
tcf(c_30043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sdtasdt0(xp,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29706,c_91]) ).
tcf(c_30044,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29706,c_91]) ).
tcf(c_30045,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29706,c_68]) ).
tcf(c_30046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_29706,c_89]) ).
tcf(c_30047,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,xr))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29706,c_89]) ).
tcf(c_30048,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(X0,sdtasdt0(xp,xr)) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29706,c_69]) ).
tcf(c_30049,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30045,c_51,c_50,c_29645]) ).
tcf(c_30053,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xr)) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30048,c_50,c_29645]) ).
tcf(c_30058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30047,c_51,c_50,c_29645]) ).
tcf(c_30063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(sz10,X0))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30046,c_51,c_50,c_29645]) ).
tcf(c_30068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30044,c_50,c_29645]) ).
tcf(c_30074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sdtasdt0(xp,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30043,c_50,c_29645]) ).
tcf(c_30394,plain,
( doDivides0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29707,c_178]) ).
tcf(c_30396,plain,
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29707,c_93]) ).
tcf(c_30397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,xr))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29707,c_91]) ).
tcf(c_30398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_29707,c_91]) ).
tcf(c_30399,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(sdtasdt0(xp,xr),X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29707,c_68]) ).
tcf(c_30400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29707,c_89]) ).
tcf(c_30401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29707,c_89]) ).
tcf(c_30402,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29707,c_69]) ).
tcf(c_30403,plain,
doDivides0(sdtasdt0(xp,xr),sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_30394,c_50,c_29645]) ).
tcf(c_30404,plain,
sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_30396,c_51,c_50,c_29645]) ).
tcf(c_30405,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30402,c_51,c_50,c_29645]) ).
tcf(c_30409,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xr),X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30399,c_50,c_29645]) ).
tcf(c_30414,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30401,c_50,c_29645]) ).
tcf(c_30420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30400,c_50,c_29645]) ).
tcf(c_30426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,sz10))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30398,c_51,c_50,c_29645]) ).
tcf(c_30431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30397,c_51,c_50,c_29645]) ).
tcf(c_30440,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30403,c_105]) ).
tcf(c_30441,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xr),sdtsldt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30403,c_100]) ).
tcf(c_30444,plain,
( ( sdtasdt0(sdtasdt0(xp,xr),sK1(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30403,c_97]) ).
tcf(c_30446,plain,
sdtasdt0(sdtasdt0(xp,xr),sK1(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_30444,c_29645]) ).
tcf(c_30447,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xr),sdtsldt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30441,c_29645]) ).
tcf(c_30450,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30440,c_29645]) ).
tcf(c_30457,plain,
( ( sdtpldt0(sdtasdt0(xp,xr),sdtmndt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30404,c_78]) ).
tcf(c_30458,plain,
( ( sdtpldt0(sdtasdt0(xp,xr),sK0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_30404,c_75]) ).
tcf(c_30460,plain,
sdtpldt0(sdtasdt0(xp,xr),sK0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_30458,c_29645]) ).
tcf(c_30461,plain,
sdtpldt0(sdtasdt0(xp,xr),sdtmndt0(sdtasdt0(xp,xr),sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_30457,c_29645]) ).
tcf(c_30487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xr)),sdtasdt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29708,c_87]) ).
tcf(c_30490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29708,c_87]) ).
tcf(c_30491,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29708,c_66]) ).
tcf(c_30492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_29708,c_85]) ).
tcf(c_30493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29708,c_85]) ).
tcf(c_30494,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtpldt0(X0,sdtasdt0(xp,xr)) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29708,c_67]) ).
tcf(c_30495,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xr)) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30494,c_49,c_29645]) ).
tcf(c_30499,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30491,c_49,c_29645]) ).
tcf(c_30503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30490,c_49,c_29645]) ).
tcf(c_30508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xr)),sdtasdt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30487,c_49,c_29645]) ).
tcf(c_30513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30493,c_49,c_29645]) ).
tcf(c_30518,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30492,c_49,c_29645]) ).
tcf(c_30531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29709,c_87]) ).
tcf(c_30532,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29709,c_103]) ).
tcf(c_30534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_29709,c_87]) ).
tcf(c_30535,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtpldt0(sdtasdt0(xp,xr),X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29709,c_66]) ).
tcf(c_30536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29709,c_85]) ).
tcf(c_30537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_29709,c_85]) ).
tcf(c_30538,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_29709,c_67]) ).
tcf(c_30539,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30532,c_49,c_29645]) ).
tcf(c_30543,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30538,c_49,c_29645]) ).
tcf(c_30547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xr),X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30535,c_49,c_29645]) ).
tcf(c_30551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xr),X0),sdtasdt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30537,c_49,c_29645]) ).
tcf(c_30556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30536,c_49,c_29645]) ).
tcf(c_30561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30534,c_49,c_29645]) ).
tcf(c_30566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30531,c_49,c_29645]) ).
tcf(c_30577,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xr) = sdtasdt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5116]) ).
tcf(c_30578,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xr) = sdtasdt0(xr,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5116]) ).
tcf(c_30579,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xr) = sdtasdt0(xr,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_5116]) ).
tcf(c_30580,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),xr) = sdtasdt0(xr,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_5116]) ).
tcf(c_30581,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xr) = sdtasdt0(xr,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_5116]) ).
tcf(c_30582,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xr) = sdtasdt0(xr,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_5116]) ).
tcf(c_30583,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),xr) = sdtasdt0(xr,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_5116]) ).
tcf(c_30584,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),xr) = sdtasdt0(xr,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_5116]) ).
tcf(c_30589,plain,
sdtasdt0(sdtpldt0(sz10,xn),xr) = sdtasdt0(xr,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_5116]) ).
tcf(c_30590,plain,
sdtasdt0(sdtpldt0(sz10,xm),xr) = sdtasdt0(xr,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_5116]) ).
tcf(c_30591,plain,
sdtasdt0(sdtpldt0(sz10,xp),xr) = sdtasdt0(xr,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_5116]) ).
tcf(c_30592,plain,
sdtasdt0(sdtpldt0(sz10,xr),xr) = sdtasdt0(xr,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_5116]) ).
tcf(c_30593,plain,
sdtasdt0(sdtpldt0(xn,xm),xr) = sdtasdt0(xr,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_5116]) ).
tcf(c_30594,plain,
sdtasdt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xr,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_5116]) ).
tcf(c_30595,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),xr) = sdtasdt0(xr,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_5116]) ).
tcf(c_30596,plain,
sdtasdt0(sdtasdt0(xm,xr),xr) = sdtasdt0(xr,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_5116]) ).
tcf(c_30597,plain,
sdtasdt0(sdtasdt0(xp,xm),xr) = sdtasdt0(xr,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_5116]) ).
tcf(c_30598,plain,
sdtasdt0(sdtasdt0(xp,xn),xr) = sdtasdt0(xr,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_5116]) ).
tcf(c_30599,plain,
sdtasdt0(sdtpldt0(xp,xn),xr) = sdtasdt0(xr,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_5116]) ).
tcf(c_30600,plain,
sdtasdt0(sdtpldt0(xn,xr),xr) = sdtasdt0(xr,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_5116]) ).
tcf(c_30601,plain,
sdtasdt0(sdtpldt0(xp,xm),xr) = sdtasdt0(xr,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_5116]) ).
tcf(c_30602,plain,
sdtasdt0(sdtpldt0(xm,xr),xr) = sdtasdt0(xr,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_5116]) ).
tcf(c_30603,plain,
sdtasdt0(sdtasdt0(xn,xr),xr) = sdtasdt0(xr,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_5116]) ).
tcf(c_30604,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),xr) = sdtasdt0(xr,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_5116]) ).
tcf(c_30605,plain,
sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),xr) = sdtasdt0(xr,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_5116]) ).
tcf(c_30606,plain,
sdtasdt0(sdtasdt0(xp,xr),xr) = sdtasdt0(xr,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_5116]) ).
tcf(c_30752,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5117]) ).
tcf(c_30753,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xr) = sdtpldt0(xr,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5117]) ).
tcf(c_30754,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xr) = sdtpldt0(xr,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_5117]) ).
tcf(c_30755,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),xr) = sdtpldt0(xr,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_5117]) ).
tcf(c_30756,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xr) = sdtpldt0(xr,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_5117]) ).
tcf(c_30757,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xr) = sdtpldt0(xr,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_5117]) ).
tcf(c_30758,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),xr) = sdtpldt0(xr,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_5117]) ).
tcf(c_30759,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),xr) = sdtpldt0(xr,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_5117]) ).
tcf(c_30764,plain,
sdtpldt0(sdtpldt0(sz10,xn),xr) = sdtpldt0(xr,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5517,c_5117]) ).
tcf(c_30765,plain,
sdtpldt0(sdtpldt0(sz10,xm),xr) = sdtpldt0(xr,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_5540,c_5117]) ).
tcf(c_30766,plain,
sdtpldt0(sdtpldt0(sz10,xp),xr) = sdtpldt0(xr,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_5563,c_5117]) ).
tcf(c_30767,plain,
sdtpldt0(sdtpldt0(sz10,xr),xr) = sdtpldt0(xr,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_5773,c_5117]) ).
tcf(c_30768,plain,
sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(xr,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_19851,c_5117]) ).
tcf(c_30769,plain,
sdtpldt0(sdtasdt0(xn,xm),xr) = sdtpldt0(xr,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_24632,c_5117]) ).
tcf(c_30770,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),xr) = sdtpldt0(xr,sdtpldt0(sz10,sdtpldt0(sz10,xm))),
inference(superposition,[status(thm)],[c_6213,c_5117]) ).
tcf(c_30771,plain,
sdtpldt0(sdtasdt0(xm,xr),xr) = sdtpldt0(xr,sdtasdt0(xm,xr)),
inference(superposition,[status(thm)],[c_28004,c_5117]) ).
tcf(c_30772,plain,
sdtpldt0(sdtasdt0(xp,xm),xr) = sdtpldt0(xr,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_27643,c_5117]) ).
tcf(c_30773,plain,
sdtpldt0(sdtasdt0(xp,xn),xr) = sdtpldt0(xr,sdtasdt0(xp,xn)),
inference(superposition,[status(thm)],[c_24934,c_5117]) ).
tcf(c_30774,plain,
sdtpldt0(sdtpldt0(xp,xn),xr) = sdtpldt0(xr,sdtpldt0(xp,xn)),
inference(superposition,[status(thm)],[c_20229,c_5117]) ).
tcf(c_30775,plain,
sdtpldt0(sdtpldt0(xn,xr),xr) = sdtpldt0(xr,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_20734,c_5117]) ).
tcf(c_30776,plain,
sdtpldt0(sdtpldt0(xp,xm),xr) = sdtpldt0(xr,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_22374,c_5117]) ).
tcf(c_30777,plain,
sdtpldt0(sdtpldt0(xm,xr),xr) = sdtpldt0(xr,sdtpldt0(xm,xr)),
inference(superposition,[status(thm)],[c_22831,c_5117]) ).
tcf(c_30778,plain,
sdtpldt0(sdtasdt0(xn,xr),xr) = sdtpldt0(xr,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_25647,c_5117]) ).
tcf(c_30779,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),xr) = sdtpldt0(xr,sdtpldt0(sz10,sdtpldt0(sz10,xp))),
inference(superposition,[status(thm)],[c_26511,c_5117]) ).
tcf(c_30780,plain,
sdtpldt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),xr) = sdtpldt0(xr,sdtpldt0(sz10,sdtpldt0(sz10,xr))),
inference(superposition,[status(thm)],[c_28220,c_5117]) ).
tcf(c_30781,plain,
sdtpldt0(sdtasdt0(xp,xr),xr) = sdtpldt0(xr,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_29645,c_5117]) ).
tcf(c_30823,plain,
sdtmndt0(sdtpldt0(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_5237]) ).
tcf(c_30824,plain,
sdtmndt0(sdtpldt0(sz00,sz10),sz00) = sz10,
inference(superposition,[status(thm)],[c_50,c_5237]) ).
tcf(c_30825,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5237]) ).
tcf(c_30826,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtasdt0(X0,X1)),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5237]) ).
tcf(c_30827,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sK0(X0,X1)),sz00) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_5237]) ).
tcf(c_30828,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtmndt0(X1,X0)),sz00) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_5237]) ).
tcf(c_30829,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sK1(X0,X1)),sz00) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_5237]) ).
tcf(c_30830,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz00,sdtsldt0(X1,X0)),sz00) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_5237]) ).
tcf(c_30831,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz00,sK2(X0)),sz00) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_108,c_5237]) ).
tcf(c_30832,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz00,sK3(X0)),sz00) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_5237]) ).
tcf(c_30833,plain,
sdtmndt0(sdtpldt0(sz00,xn),sz00) = xn,
inference(superposition,[status(thm)],[c_116,c_5237]) ).
tcf(c_30834,plain,
sdtmndt0(sdtpldt0(sz00,xm),sz00) = xm,
inference(superposition,[status(thm)],[c_117,c_5237]) ).
tcf(c_30835,plain,
sdtmndt0(sdtpldt0(sz00,xp),sz00) = xp,
inference(superposition,[status(thm)],[c_118,c_5237]) ).
tcf(c_30836,plain,
sdtmndt0(sdtpldt0(sz00,xr),sz00) = xr,
inference(superposition,[status(thm)],[c_4987,c_5237]) ).
tcf(c_30837,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(sz10,xn)),sz00) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5517,c_5237]) ).
tcf(c_30838,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(sz10,xm)),sz00) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_5540,c_5237]) ).
tcf(c_30839,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(sz10,xp)),sz00) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_5563,c_5237]) ).
tcf(c_30840,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(sz10,xr)),sz00) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_5773,c_5237]) ).
tcf(c_30841,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,xm)),sz00) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_19851,c_5237]) ).
tcf(c_30842,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xn,xm)),sz00) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_24632,c_5237]) ).
tcf(c_30843,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xm))),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_6213,c_5237]) ).
tcf(c_30844,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xm,xr)),sz00) = sdtasdt0(xm,xr),
inference(superposition,[status(thm)],[c_28004,c_5237]) ).
tcf(c_30845,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xp,xm)),sz00) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_27643,c_5237]) ).
tcf(c_30846,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xp,xn)),sz00) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_24934,c_5237]) ).
tcf(c_30847,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xp,xn)),sz00) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_20229,c_5237]) ).
tcf(c_30848,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xn,xr)),sz00) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_20734,c_5237]) ).
tcf(c_30849,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xp,xm)),sz00) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_22374,c_5237]) ).
tcf(c_30850,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(xm,xr)),sz00) = sdtpldt0(xm,xr),
inference(superposition,[status(thm)],[c_22831,c_5237]) ).
tcf(c_30851,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xn,xr)),sz00) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_25647,c_5237]) ).
tcf(c_30852,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xp))),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_26511,c_5237]) ).
tcf(c_30853,plain,
sdtmndt0(sdtpldt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,xr))),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_28220,c_5237]) ).
tcf(c_30854,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xp,xr)),sz00) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_29645,c_5237]) ).
tcf(c_30855,plain,
sdtmndt0(xr,sz00) = xr,
inference(light_normalisation,[status(thm)],[c_30836,c_5122]) ).
tcf(c_30856,plain,
sdtmndt0(xp,sz00) = xp,
inference(light_normalisation,[status(thm)],[c_30835,c_4636]) ).
tcf(c_30857,plain,
sdtmndt0(xm,sz00) = xm,
inference(light_normalisation,[status(thm)],[c_30834,c_4635]) ).
tcf(c_30858,plain,
sdtmndt0(xn,sz00) = xn,
inference(light_normalisation,[status(thm)],[c_30833,c_4634]) ).
tcf(c_30859,plain,
sdtmndt0(sz10,sz00) = sz10,
inference(light_normalisation,[status(thm)],[c_30824,c_4633]) ).
tcf(c_30860,plain,
sdtmndt0(sz00,sz00) = sz00,
inference(light_normalisation,[status(thm)],[c_30823,c_4623]) ).
tcf(c_30861,plain,
sdtmndt0(sdtasdt0(xp,xr),sz00) = sdtasdt0(xp,xr),
inference(light_normalisation,[status(thm)],[c_30854,c_29708]) ).
tcf(c_30862,plain,
sdtmndt0(sdtasdt0(xn,xr),sz00) = sdtasdt0(xn,xr),
inference(light_normalisation,[status(thm)],[c_30851,c_25708]) ).
tcf(c_30863,plain,
sdtmndt0(sdtpldt0(xm,xr),sz00) = sdtpldt0(xm,xr),
inference(light_normalisation,[status(thm)],[c_30850,c_22906]) ).
tcf(c_30864,plain,
sdtmndt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(xp,xm),
inference(light_normalisation,[status(thm)],[c_30849,c_22487]) ).
tcf(c_30865,plain,
sdtmndt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(xn,xr),
inference(light_normalisation,[status(thm)],[c_30848,c_20884]) ).
tcf(c_30866,plain,
sdtmndt0(sdtpldt0(xp,xn),sz00) = sdtpldt0(xp,xn),
inference(light_normalisation,[status(thm)],[c_30847,c_20298]) ).
tcf(c_30867,plain,
sdtmndt0(sdtasdt0(xp,xn),sz00) = sdtasdt0(xp,xn),
inference(light_normalisation,[status(thm)],[c_30846,c_25063]) ).
tcf(c_30868,plain,
sdtmndt0(sdtasdt0(xp,xm),sz00) = sdtasdt0(xp,xm),
inference(light_normalisation,[status(thm)],[c_30845,c_27705]) ).
tcf(c_30869,plain,
sdtmndt0(sdtasdt0(xm,xr),sz00) = sdtasdt0(xm,xr),
inference(light_normalisation,[status(thm)],[c_30844,c_28072]) ).
tcf(c_30870,plain,
sdtmndt0(sdtasdt0(xn,xm),sz00) = sdtasdt0(xn,xm),
inference(light_normalisation,[status(thm)],[c_30842,c_24729]) ).
tcf(c_30871,plain,
sdtmndt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(xn,xm),
inference(light_normalisation,[status(thm)],[c_30841,c_19923]) ).
tcf(c_30872,plain,
sdtmndt0(sdtpldt0(sz10,xr),sz00) = sdtpldt0(sz10,xr),
inference(light_normalisation,[status(thm)],[c_30840,c_5788]) ).
tcf(c_30873,plain,
sdtmndt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz10,xp),
inference(light_normalisation,[status(thm)],[c_30839,c_5759]) ).
tcf(c_30874,plain,
sdtmndt0(sdtpldt0(sz10,xm),sz00) = sdtpldt0(sz10,xm),
inference(light_normalisation,[status(thm)],[c_30838,c_5551]) ).
tcf(c_30875,plain,
sdtmndt0(sdtpldt0(sz10,xn),sz00) = sdtpldt0(sz10,xn),
inference(light_normalisation,[status(thm)],[c_30837,c_5528]) ).
tcf(c_30876,plain,
sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xr)),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(light_normalisation,[status(thm)],[c_30853,c_28296]) ).
tcf(c_30877,plain,
sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xp)),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(light_normalisation,[status(thm)],[c_30852,c_26578]) ).
tcf(c_30878,plain,
sdtmndt0(sdtpldt0(sz10,sdtpldt0(sz10,xm)),sz00) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(light_normalisation,[status(thm)],[c_30843,c_6737]) ).
tcf(c_30973,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_30878,c_30877,c_30876,c_30875,c_30874,c_30873,c_30872,c_30871,c_30870,c_30869,c_30868,c_30867,c_30866,c_30865,c_30864,c_30863,c_30862,c_30861,c_30860,c_30859,c_30858,c_30857,c_30856,c_30855,c_30854,c_30853,c_30852,c_30851,c_30850,c_30849,c_30848,c_30847,c_30846,c_30845,c_30844,c_30843,c_30842,c_30841,c_30840,c_30839,c_30838,c_30837,c_30836,c_30835,c_30834,c_30833,c_30832,c_30831,c_30830,c_30829,c_30828,c_30827,c_30826,c_30825,c_30824,c_30823,c_30781,c_30780,c_30779,c_30778,c_30777,c_30776,c_30775,c_30774,c_30773,c_30772,c_30771,c_30770,c_30769,c_30768,c_30767,c_30766,c_30765,c_30764,c_30759,c_30758,c_30757,c_30756,c_30755,c_30754,c_30753,c_30752,c_30606,c_30605,c_30604,c_30603,c_30602,c_30601,c_30600,c_30599,c_30598,c_30597,c_30596,c_30595,c_30594,c_30593,c_30592,c_30591,c_30590,c_30589,c_30584,c_30583,c_30582,c_30581,c_30580,c_30579,c_30578,c_30577,c_30566,c_30561,c_30556,c_30551,c_30547,c_30543,c_30539,c_30537,c_30536,c_30534,c_30532,c_30531,c_30535,c_30538,c_30518,c_30513,c_30508,c_30503,c_30499,c_30495,c_30493,c_30492,c_30490,c_30487,c_30491,c_30494,c_30461,c_30460,c_30458,c_30457,c_30450,c_30447,c_30446,c_30444,c_30441,c_30440,c_30431,c_30426,c_30420,c_30414,c_30409,c_30405,c_30404,c_30403,c_30401,c_30400,c_30398,c_30397,c_30396,c_30394,c_30399,c_30402,c_30074,c_30068,c_30063,c_30058,c_30053,c_30049,c_30047,c_30046,c_30044,c_30043,c_30045,c_30048,c_30032,c_30029,c_30025,c_30024,c_30022,c_30021,c_30019,c_30018,c_30012,c_30006,c_30001,c_30000,c_29998,c_29997,c_29991,c_29996,c_29949,c_29942,c_29935,c_29928,c_29921,c_29914,c_29908,c_29902,c_29900,c_29899,c_29897,c_29896,c_29895,c_29894,c_29898,c_29901,c_29878,c_29872,c_29867,c_29862,c_29861,c_29866,c_29851,c_29848,c_29847,c_29846,c_29843,c_29842,c_29841,c_29840,c_29839,c_29838,c_29834,c_29833,c_29829,c_29828,c_29825,c_29824,c_29823,c_29822,c_29820,c_29819,c_29796,c_29793,c_29792,c_29791,c_29788,c_29787,c_29786,c_29785,c_29784,c_29783,c_29782,c_29781,c_29776,c_29773,c_29769,c_29765,c_29764,c_29763,c_29762,c_29760,c_29759,c_29758,c_29757,c_29756,c_29709,c_29708,c_29707,c_29706,c_29705,c_29704,c_29703,c_29702,c_29701,c_29700,c_29699,c_29698,c_29697,c_29696,c_29695,c_29694,c_29693,c_29692,c_29691,c_29690,c_29689,c_29688,c_29687,c_29686,c_29677,c_29672,c_29666,c_29660,c_29655,c_29651,c_29648,c_29647,c_29646,c_29645,c_29643,c_29642,c_29640,c_29639,c_29638,c_29637,c_29636,c_29635,c_29641,c_29644,c_29595,c_29594,c_29593,c_29592,c_29591,c_29590,c_29589,c_29588,c_29587,c_29586,c_29585,c_29584,c_29583,c_29582,c_29581,c_29580,c_29579,c_29578,c_29574,c_29573,c_29572,c_29571,c_29570,c_29569,c_29568,c_29567,c_29557,c_29556,c_29555,c_29551,c_29549,c_29548,c_29546,c_29545,c_29540,c_29535,c_29531,c_29530,c_29528,c_29527,c_29521,c_29526,c_29462,c_29457,c_29453,c_29448,c_29447,c_29452,c_29436,c_29431,c_29426,c_29421,c_29417,c_29413,c_29409,c_29407,c_29406,c_29404,c_29402,c_29401,c_29405,c_29408,c_29136,c_29131,c_29126,c_29121,c_29117,c_29113,c_29111,c_29110,c_29108,c_29105,c_29109,c_29112,c_29068,c_29067,c_29065,c_29064,c_29057,c_29054,c_29053,c_29051,c_29048,c_29047,c_29012,c_29007,c_29001,c_28995,c_28990,c_28986,c_28985,c_28984,c_28982,c_28981,c_28979,c_28978,c_28977,c_28975,c_28980,c_28983,c_28943,c_28937,c_28932,c_28927,c_28922,c_28918,c_28916,c_28915,c_28913,c_28912,c_28914,c_28917,c_28879,c_28874,c_28869,c_28864,c_28860,c_28856,c_28852,c_28850,c_28849,c_28847,c_28845,c_28844,c_28848,c_28851,c_28809,c_28804,c_28799,c_28794,c_28790,c_28786,c_28784,c_28783,c_28781,c_28778,c_28782,c_28785,c_28771,c_28770,c_28768,c_28767,c_28760,c_28757,c_28756,c_28754,c_28751,c_28750,c_28741,c_28736,c_28730,c_28724,c_28719,c_28715,c_28714,c_28713,c_28711,c_28710,c_28708,c_28707,c_28706,c_28704,c_28709,c_28712,c_28691,c_28685,c_28680,c_28675,c_28670,c_28666,c_28664,c_28663,c_28661,c_28660,c_28662,c_28665,c_28602,c_28601,c_28597,c_28596,c_28593,c_28592,c_28591,c_28590,c_28588,c_28587,c_28585,c_28575,c_28574,c_28573,c_28570,c_28566,c_28565,c_28564,c_28563,c_28562,c_28561,c_28551,c_28548,c_28547,c_28546,c_28543,c_28542,c_28541,c_28540,c_28539,c_28538,c_28482,c_28479,c_28478,c_28477,c_28474,c_28473,c_28472,c_28471,c_28470,c_28469,c_28468,c_28467,c_28465,c_28460,c_28457,c_28453,c_28452,c_28450,c_28449,c_28447,c_28446,c_28440,c_28434,c_28429,c_28428,c_28426,c_28425,c_28419,c_28424,c_28410,c_28404,c_28399,c_28394,c_28393,c_28398,c_28297,c_28296,c_28295,c_28294,c_28293,c_28292,c_28291,c_28290,c_28289,c_28288,c_28287,c_28286,c_28285,c_28284,c_28283,c_28282,c_28281,c_28280,c_28279,c_28278,c_28277,c_28276,c_28275,c_28256,c_28251,c_28246,c_28241,c_28236,c_28231,c_28227,c_28223,c_28222,c_28221,c_28220,c_28218,c_28217,c_28215,c_28214,c_28213,c_28212,c_28211,c_28210,c_28208,c_28216,c_28219,c_28201,c_28198,c_28194,c_28193,c_28191,c_28190,c_28188,c_28187,c_28181,c_28175,c_28170,c_28169,c_28167,c_28166,c_28160,c_28165,c_28151,c_28145,c_28140,c_28135,c_28134,c_28139,c_28123,c_28120,c_28116,c_28112,c_28111,c_28108,c_28106,c_28105,c_28104,c_28103,c_28102,c_28101,c_28073,c_28072,c_28071,c_28070,c_28069,c_28068,c_28067,c_28066,c_28065,c_28064,c_28063,c_28062,c_28061,c_28060,c_28059,c_28058,c_28057,c_28056,c_28055,c_28054,c_28053,c_28052,c_28051,c_28041,c_28035,c_28029,c_28023,c_28018,c_28013,c_28009,c_28006,c_28005,c_28004,c_28002,c_28001,c_27999,c_27998,c_27997,c_27995,c_27994,c_28000,c_28003,c_27937,c_27934,c_27933,c_27932,c_27929,c_27928,c_27927,c_27926,c_27925,c_27924,c_27920,c_27919,c_27915,c_27914,c_27911,c_27910,c_27909,c_27908,c_27906,c_27905,c_27900,c_27897,c_27896,c_27895,c_27892,c_27891,c_27890,c_27889,c_27888,c_27887,c_27886,c_27885,c_27786,c_27783,c_27779,c_27775,c_27774,c_27773,c_27772,c_27770,c_27769,c_27768,c_27767,c_27766,c_27761,c_27758,c_27753,c_27748,c_27745,c_27741,c_27739,c_27738,c_27737,c_27736,c_27735,c_27734,c_27706,c_27705,c_27704,c_27703,c_27702,c_27701,c_27700,c_27699,c_27698,c_27697,c_27696,c_27695,c_27694,c_27693,c_27692,c_27691,c_27690,c_27689,c_27688,c_27687,c_27686,c_27685,c_27684,c_27675,c_27670,c_27664,c_27658,c_27653,c_27649,c_27646,c_27645,c_27644,c_27643,c_27641,c_27640,c_27638,c_27637,c_27636,c_27635,c_27634,c_27633,c_27639,c_27642,c_27564,c_27563,c_27530,c_27529,c_27528,c_27527,c_27526,c_27525,c_27524,c_27523,c_27522,c_27521,c_27520,c_27519,c_27518,c_27517,c_27516,c_27515,c_27512,c_27511,c_27510,c_27509,c_27508,c_27507,c_27506,c_27505,c_27495,c_27494,c_27493,c_27489,c_27487,c_27486,c_27484,c_27483,c_27478,c_27473,c_27469,c_27468,c_27466,c_27465,c_27459,c_27464,c_27450,c_27445,c_27441,c_27436,c_27435,c_27440,c_27424,c_27419,c_27414,c_27409,c_27405,c_27401,c_27397,c_27395,c_27394,c_27392,c_27390,c_27389,c_27393,c_27396,c_27376,c_27371,c_27366,c_27361,c_27357,c_27353,c_27351,c_27350,c_27348,c_27345,c_27349,c_27352,c_27338,c_27337,c_27335,c_27334,c_27327,c_27324,c_27323,c_27321,c_27318,c_27317,c_27308,c_27303,c_27297,c_27291,c_27286,c_27282,c_27281,c_27280,c_27278,c_27277,c_27275,c_27274,c_27273,c_27271,c_27276,c_27279,c_27258,c_27252,c_27247,c_27242,c_27237,c_27233,c_27231,c_27230,c_27228,c_27227,c_27229,c_27232,c_27149,c_27144,c_27139,c_27134,c_27130,c_27126,c_27122,c_27120,c_27119,c_27117,c_27115,c_27114,c_27118,c_27121,c_27101,c_27096,c_27091,c_27086,c_27082,c_27078,c_27076,c_27075,c_27073,c_27070,c_27074,c_27077,c_27063,c_27062,c_27060,c_27059,c_27053,c_27052,c_27051,c_27049,c_27046,c_27045,c_27036,c_27031,c_27026,c_27021,c_27017,c_27013,c_27012,c_27011,c_27009,c_27008,c_27006,c_27005,c_27004,c_27002,c_27007,c_27010,c_26957,c_26952,c_26947,c_26942,c_26938,c_26934,c_26932,c_26931,c_26929,c_26928,c_26930,c_26933,c_26918,c_26917,c_26916,c_26913,c_26909,c_26908,c_26907,c_26906,c_26905,c_26904,c_26579,c_26578,c_26577,c_26576,c_26575,c_26574,c_26573,c_26572,c_26571,c_26570,c_26569,c_26568,c_26567,c_26566,c_26565,c_26564,c_26563,c_26562,c_26561,c_26560,c_26559,c_26558,c_26547,c_26542,c_26537,c_26532,c_26527,c_26522,c_26518,c_26514,c_26513,c_26512,c_26511,c_26509,c_26508,c_26506,c_26505,c_26504,c_26503,c_26502,c_26501,c_26499,c_26507,c_26510,c_26492,c_26487,c_26482,c_26477,c_26473,c_26469,c_26465,c_26463,c_26462,c_26460,c_26458,c_26457,c_26461,c_26464,c_26444,c_26439,c_26434,c_26429,c_26425,c_26421,c_26419,c_26418,c_26416,c_26413,c_26417,c_26420,c_26406,c_26405,c_26403,c_26402,c_26395,c_26392,c_26391,c_26389,c_26386,c_26385,c_26376,c_26371,c_26365,c_26359,c_26354,c_26350,c_26349,c_26348,c_26346,c_26345,c_26343,c_26342,c_26341,c_26339,c_26344,c_26347,c_26275,c_26269,c_26264,c_26259,c_26254,c_26250,c_26248,c_26247,c_26245,c_26244,c_26246,c_26249,c_26222,c_26219,c_26215,c_26214,c_26212,c_26211,c_26209,c_26208,c_26196,c_26190,c_26185,c_26184,c_26182,c_26181,c_26175,c_26180,c_26121,c_26115,c_26110,c_26105,c_26104,c_26109,c_26094,c_26093,c_26089,c_26088,c_26086,c_26085,c_26083,c_26082,c_26026,c_26021,c_26017,c_26016,c_26014,c_26013,c_26007,c_26012,c_25991,c_25988,c_25987,c_25986,c_25983,c_25982,c_25981,c_25980,c_25979,c_25978,c_25973,c_25968,c_25964,c_25959,c_25958,c_25963,c_25947,c_25944,c_25940,c_25939,c_25937,c_25936,c_25934,c_25933,c_25927,c_25921,c_25916,c_25915,c_25913,c_25912,c_25906,c_25911,c_25897,c_25891,c_25886,c_25881,c_25880,c_25885,c_25843,c_25842,c_25838,c_25837,c_25834,c_25833,c_25832,c_25831,c_25829,c_25828,c_25823,c_25820,c_25819,c_25818,c_25815,c_25814,c_25813,c_25812,c_25811,c_25810,c_25809,c_25808,c_25803,c_25800,c_25796,c_25792,c_25791,c_25790,c_25789,c_25787,c_25786,c_25785,c_25784,c_25783,c_25709,c_25708,c_25707,c_25706,c_25705,c_25704,c_25703,c_25702,c_25701,c_25700,c_25699,c_25698,c_25697,c_25696,c_25695,c_25694,c_25693,c_25692,c_25691,c_25690,c_25689,c_25688,c_25679,c_25674,c_25668,c_25662,c_25657,c_25653,c_25650,c_25649,c_25648,c_25647,c_25645,c_25644,c_25642,c_25641,c_25640,c_25639,c_25638,c_25637,c_25643,c_25646,c_25607,c_25604,c_25603,c_25602,c_25599,c_25597,c_25596,c_25595,c_25594,c_25593,c_25588,c_25585,c_25584,c_25583,c_25580,c_25577,c_25576,c_25575,c_25574,c_25573,c_25568,c_25565,c_25564,c_25563,c_25560,c_25558,c_25557,c_25556,c_25555,c_25554,c_25519,c_25516,c_25515,c_25514,c_25511,c_25510,c_25509,c_25508,c_25507,c_25506,c_25502,c_25501,c_25497,c_25496,c_25494,c_25493,c_25491,c_25490,c_25474,c_25471,c_25470,c_25469,c_25466,c_25465,c_25464,c_25463,c_25462,c_25461,c_25456,c_25453,c_25452,c_25451,c_25448,c_25447,c_25446,c_25445,c_25444,c_25443,c_25442,c_25441,c_25440,c_25439,c_25438,c_25437,c_25436,c_25435,c_25431,c_25430,c_25426,c_25422,c_25421,c_25420,c_25419,c_25417,c_25416,c_25415,c_25414,c_25413,c_25064,c_25063,c_25062,c_25061,c_25060,c_25059,c_25058,c_25057,c_25056,c_25055,c_25054,c_25053,c_25052,c_25051,c_25050,c_25049,c_25048,c_25047,c_25046,c_25045,c_25044,c_25043,c_24961,c_24956,c_24951,c_24946,c_24942,c_24938,c_24937,c_24936,c_24935,c_24934,c_24932,c_24931,c_24929,c_24928,c_24927,c_24926,c_24925,c_24924,c_24930,c_24933,c_24884,c_24881,c_24880,c_24879,c_24876,c_24875,c_24874,c_24873,c_24872,c_24871,c_24870,c_24869,c_24850,c_24847,c_24843,c_24839,c_24838,c_24835,c_24834,c_24833,c_24832,c_24831,c_24730,c_24729,c_24728,c_24727,c_24726,c_24725,c_24724,c_24723,c_24722,c_24721,c_24720,c_24719,c_24718,c_24717,c_24716,c_24715,c_24714,c_24713,c_24712,c_24711,c_24710,c_24709,c_24669,c_24664,c_24659,c_24653,c_24647,c_24642,c_24638,c_24635,c_24634,c_24633,c_24632,c_24630,c_24629,c_24627,c_24626,c_24625,c_24624,c_24623,c_24622,c_24628,c_24631,c_24509,c_24508,c_24507,c_24506,c_24505,c_24504,c_24503,c_24502,c_24501,c_24500,c_24499,c_24498,c_24497,c_24495,c_24494,c_24493,c_24492,c_24491,c_24490,c_24489,c_24488,c_24430,c_24429,c_24428,c_24427,c_24426,c_24425,c_24424,c_24423,c_24422,c_24421,c_24420,c_24419,c_24418,c_24417,c_24416,c_24415,c_24414,c_24413,c_24412,c_24411,c_24410,c_24409,c_24332,c_24331,c_24330,c_24329,c_24328,c_24327,c_24326,c_24325,c_24324,c_24323,c_24322,c_24321,c_24320,c_24319,c_24318,c_24317,c_24316,c_24315,c_24314,c_24313,c_24312,c_24311,c_24310,c_24295,c_24290,c_24285,c_24280,c_24275,c_24271,c_24267,c_24265,c_24264,c_24262,c_24260,c_24259,c_24263,c_24266,c_24216,c_24183,c_24182,c_24181,c_24180,c_24179,c_24178,c_24177,c_24176,c_24175,c_24174,c_24173,c_24172,c_24168,c_24167,c_24166,c_24165,c_24164,c_24163,c_24162,c_24161,c_24075,c_24070,c_24065,c_24060,c_24056,c_24052,c_24048,c_24046,c_24045,c_24043,c_24041,c_24040,c_24044,c_24047,c_24032,c_24024,c_24019,c_24014,c_24009,c_24005,c_24001,c_23999,c_23998,c_23996,c_23993,c_23997,c_24000,c_23986,c_23985,c_23984,c_23982,c_23981,c_23866,c_23863,c_23860,c_23859,c_23858,c_23856,c_23853,c_23852,c_23769,c_23764,c_23758,c_23752,c_23747,c_23743,c_23742,c_23741,c_23739,c_23738,c_23736,c_23735,c_23734,c_23732,c_23737,c_23740,c_23725,c_23724,c_23720,c_23719,c_23716,c_23715,c_23713,c_23712,c_23698,c_23692,c_23687,c_23682,c_23677,c_23673,c_23670,c_23669,c_23667,c_23666,c_23664,c_23663,c_23662,c_23660,c_23665,c_23668,c_23623,c_23618,c_23613,c_23608,c_23604,c_23600,c_23596,c_23594,c_23593,c_23591,c_23589,c_23588,c_23592,c_23595,c_23580,c_23572,c_23567,c_23562,c_23557,c_23553,c_23549,c_23547,c_23546,c_23544,c_23541,c_23545,c_23548,c_23534,c_23521,c_23520,c_23518,c_23517,c_23507,c_23506,c_23503,c_23502,c_23501,c_23499,c_23496,c_23495,c_23440,c_23435,c_23430,c_23425,c_23421,c_23417,c_23416,c_23415,c_23413,c_23412,c_23410,c_23409,c_23408,c_23406,c_23411,c_23414,c_23398,c_23395,c_23394,c_23393,c_23390,c_23388,c_23387,c_23386,c_23385,c_23384,c_23380,c_23379,c_23375,c_23374,c_23371,c_23370,c_23368,c_23367,c_23329,c_23324,c_23319,c_23314,c_23310,c_23306,c_23305,c_23304,c_23302,c_23301,c_23299,c_23298,c_23297,c_23295,c_23300,c_23303,c_23287,c_23284,c_23280,c_23279,c_23277,c_23276,c_23274,c_23273,c_23267,c_23261,c_23256,c_23255,c_23253,c_23252,c_23246,c_23251,c_23131,c_23128,c_23127,c_23126,c_23123,c_23122,c_23121,c_23120,c_23119,c_23118,c_23112,c_23106,c_23101,c_23096,c_23095,c_23100,c_23085,c_23084,c_23080,c_23079,c_23077,c_23076,c_23074,c_23073,c_23037,c_23032,c_23028,c_23027,c_23025,c_23024,c_23018,c_23023,c_23010,c_23005,c_23001,c_22996,c_22995,c_23000,c_22980,c_22977,c_22976,c_22975,c_22972,c_22971,c_22970,c_22969,c_22968,c_22967,c_22966,c_22965,c_22907,c_22906,c_22905,c_22904,c_22903,c_22902,c_22901,c_22900,c_22899,c_22898,c_22897,c_22896,c_22895,c_22894,c_22893,c_22892,c_22891,c_22890,c_22877,c_22872,c_22867,c_22862,c_22857,c_22852,c_22847,c_22843,c_22839,c_22836,c_22833,c_22832,c_22831,c_22829,c_22828,c_22826,c_22825,c_22824,c_22823,c_22822,c_22821,c_22820,c_22819,c_22827,c_22830,c_22816,c_22760,c_22757,c_22756,c_22755,c_22752,c_22751,c_22750,c_22749,c_22748,c_22747,c_22742,c_22739,c_22738,c_22737,c_22734,c_22733,c_22732,c_22731,c_22730,c_22729,c_22728,c_22727,c_27996,c_22488,c_22487,c_22486,c_22485,c_22484,c_22483,c_22482,c_22481,c_22480,c_22479,c_22478,c_22477,c_22476,c_22475,c_22474,c_22473,c_22472,c_22471,c_22418,c_22413,c_22408,c_22403,c_22398,c_22393,c_22388,c_22384,c_22380,c_22379,c_22375,c_22374,c_22372,c_22371,c_22369,c_22368,c_22367,c_22366,c_22365,c_22364,c_22363,c_22362,c_22370,c_22373,c_22359,c_22300,c_22299,c_22266,c_22265,c_22264,c_22263,c_22262,c_22261,c_22260,c_22259,c_22258,c_22257,c_22254,c_22253,c_22252,c_22251,c_22250,c_22249,c_22248,c_22247,c_22235,c_22230,c_22225,c_22220,c_22216,c_22212,c_22208,c_22206,c_22205,c_22203,c_22201,c_22200,c_22204,c_22207,c_22192,c_22167,c_22162,c_22157,c_22152,c_22148,c_22144,c_22142,c_22141,c_22139,c_22136,c_22140,c_22143,c_22129,c_22128,c_22127,c_22125,c_22124,c_22118,c_22117,c_22114,c_22113,c_22112,c_22110,c_22107,c_22106,c_22037,c_22032,c_22027,c_22022,c_22018,c_22014,c_22013,c_22012,c_22010,c_22009,c_22007,c_22006,c_22005,c_22003,c_22008,c_22011,c_21948,c_21945,c_21944,c_21943,c_21940,c_21938,c_21937,c_21936,c_21935,c_21934,c_21930,c_21929,c_21925,c_21924,c_21921,c_21920,c_21918,c_21917,c_21883,c_21878,c_21873,c_21868,c_21864,c_21860,c_21859,c_21858,c_21856,c_21855,c_21853,c_21852,c_21851,c_21849,c_21854,c_21857,c_21840,c_21835,c_21830,c_21825,c_21821,c_21817,c_21813,c_21811,c_21810,c_21808,c_21806,c_21805,c_21809,c_21812,c_21797,c_21789,c_21784,c_21779,c_21774,c_21770,c_21766,c_21764,c_21763,c_21761,c_21758,c_21762,c_21765,c_21751,c_21750,c_21749,c_21747,c_21746,c_21680,c_21679,c_21676,c_21675,c_21674,c_21672,c_21669,c_21668,c_21659,c_21654,c_21649,c_21644,c_21640,c_21636,c_21635,c_21634,c_21632,c_21631,c_21629,c_21628,c_21627,c_21625,c_21630,c_21633,c_21618,c_21617,c_21613,c_21612,c_21609,c_21608,c_21606,c_21605,c_21596,c_21591,c_21586,c_21581,c_21577,c_21573,c_21572,c_21570,c_21569,c_21567,c_21566,c_21563,c_21568,c_21571,c_21554,c_21549,c_21544,c_21539,c_21535,c_21531,c_21527,c_21525,c_21524,c_21522,c_21520,c_21519,c_21523,c_21526,c_21511,c_21503,c_21498,c_21493,c_21488,c_21484,c_21480,c_21478,c_21477,c_21475,c_21472,c_21476,c_21479,c_21465,c_21464,c_21463,c_21461,c_21460,c_21302,c_21301,c_21298,c_21297,c_21296,c_21294,c_21291,c_21290,c_21281,c_21276,c_21271,c_21266,c_21262,c_21258,c_21257,c_21256,c_21254,c_21253,c_21251,c_21250,c_21249,c_21247,c_21252,c_21255,c_21239,c_21236,c_21235,c_21234,c_21231,c_21229,c_21228,c_21227,c_21226,c_21225,c_21221,c_21220,c_21216,c_21215,c_21212,c_21211,c_21209,c_21208,c_21199,c_21194,c_21189,c_21184,c_21180,c_21176,c_21175,c_21174,c_21172,c_21171,c_21169,c_21168,c_21167,c_21165,c_21170,c_21173,c_21085,c_21084,c_21080,c_21079,c_21077,c_21076,c_21074,c_21073,c_21068,c_21063,c_21059,c_21058,c_21056,c_21055,c_21049,c_21054,c_21041,c_21036,c_21032,c_21027,c_21026,c_21031,c_21016,c_21015,c_21011,c_21010,c_21008,c_21007,c_21005,c_21004,c_20999,c_20994,c_20990,c_20989,c_20987,c_20986,c_20980,c_20985,c_20972,c_20967,c_20963,c_20958,c_20957,c_20962,c_20947,c_20944,c_20943,c_20942,c_20939,c_20938,c_20937,c_20936,c_20935,c_20934,c_20929,c_20926,c_20925,c_20924,c_20921,c_20920,c_20919,c_20918,c_20917,c_20916,c_20915,c_20914,c_20885,c_20884,c_20883,c_20882,c_20881,c_20880,c_20879,c_20878,c_20877,c_20876,c_20875,c_20874,c_20873,c_20872,c_20871,c_20870,c_20869,c_20778,c_20773,c_20768,c_20763,c_20758,c_20753,c_20748,c_20744,c_20740,c_20739,c_20735,c_20734,c_20732,c_20731,c_20729,c_20728,c_20727,c_20726,c_20725,c_20724,c_20723,c_20722,c_20730,c_20733,c_20719,c_20613,c_20610,c_20609,c_20608,c_20605,c_20603,c_20602,c_20601,c_20600,c_20599,c_20587,c_20584,c_20583,c_20582,c_20579,c_20576,c_20575,c_20574,c_20573,c_20572,c_20568,c_20567,c_20563,c_20562,c_20560,c_20559,c_20557,c_20556,c_20551,c_20546,c_20542,c_20541,c_20539,c_20538,c_20532,c_20537,c_20489,c_20484,c_20480,c_20475,c_20474,c_20479,c_20447,c_20444,c_20443,c_20442,c_20439,c_20437,c_20436,c_20435,c_20434,c_20433,c_20416,c_20413,c_20412,c_20411,c_20408,c_20407,c_20406,c_20405,c_20404,c_20403,c_20371,c_20368,c_20367,c_20366,c_20363,c_20362,c_20361,c_20360,c_20359,c_20358,c_20357,c_20356,c_20355,c_20354,c_20353,c_20352,c_20351,c_20350,c_20299,c_20298,c_20297,c_20296,c_20295,c_20294,c_20293,c_20292,c_20291,c_20290,c_20289,c_20288,c_20287,c_20286,c_20285,c_20284,c_20283,c_20270,c_20265,c_20260,c_20255,c_20250,c_20245,c_20240,c_20236,c_20232,c_20231,c_20230,c_20229,c_20227,c_20226,c_20224,c_20223,c_20222,c_20221,c_20220,c_20219,c_20218,c_20225,c_20228,c_20214,c_20131,c_20128,c_20127,c_20126,c_20123,c_20122,c_20121,c_20120,c_20119,c_20118,c_20113,c_20110,c_20109,c_20108,c_20105,c_20104,c_20103,c_20102,c_20101,c_20100,c_20099,c_20098,c_19924,c_19923,c_19922,c_19921,c_19920,c_19919,c_19918,c_19917,c_19916,c_19915,c_19914,c_19913,c_19912,c_19911,c_19910,c_19909,c_19908,c_19895,c_19890,c_19885,c_19880,c_19875,c_19870,c_19865,c_19861,c_19857,c_19856,c_19852,c_19851,c_19849,c_19848,c_19846,c_19845,c_19844,c_19843,c_19842,c_19841,c_19840,c_19839,c_19847,c_19850,c_19836,c_19798,c_19797,c_19796,c_19795,c_19794,c_19793,c_19792,c_19791,c_19789,c_19788,c_19787,c_19786,c_19785,c_19784,c_19783,c_19782,c_19771,c_19768,c_19763,c_19760,c_19756,c_19755,c_19754,c_19753,c_19751,c_19750,c_19741,c_19738,c_19733,c_19730,c_19726,c_19725,c_19724,c_19723,c_19721,c_19720,c_19710,c_19706,c_19693,c_19692,c_19689,c_19669,c_19665,c_19662,c_19661,c_19649,c_19644,c_19641,c_19640,c_19630,c_19627,c_19614,c_19609,c_19606,c_19605,c_19590,c_19586,c_19584,c_19583,c_19568,c_19564,c_19562,c_19561,c_19546,c_19542,c_19539,c_19538,c_19523,c_19519,c_19516,c_19515,c_19500,c_19496,c_19489,c_19488,c_19487,c_19486,c_19471,c_19467,c_19465,c_19464,c_19384,c_19380,c_19378,c_19377,c_19303,c_19297,c_19292,c_19288,c_19284,c_19279,c_19275,c_19271,c_19266,c_19261,c_19252,c_19251,c_19250,c_19249,c_19248,c_19245,c_19244,c_19243,c_19242,c_19241,c_19226,c_19222,c_19220,c_19219,c_19204,c_19200,c_19197,c_19196,c_19182,c_19176,c_19171,c_19167,c_19163,c_19158,c_19154,c_19150,c_19145,c_19140,c_19128,c_19127,c_19126,c_19125,c_19124,c_19122,c_19119,c_19118,c_19117,c_19116,c_19115,c_19033,c_19030,c_19029,c_19028,c_19025,c_19022,c_19021,c_19020,c_19019,c_19018,c_19012,c_19008,c_19004,c_19003,c_18997,c_18993,c_18992,c_18989,c_18958,c_18952,c_18947,c_18943,c_18939,c_18934,c_18930,c_18926,c_18921,c_18916,c_18908,c_18907,c_18906,c_18905,c_18904,c_18901,c_18900,c_18899,c_18898,c_18897,c_18887,c_18884,c_18883,c_18882,c_18879,c_18877,c_18876,c_18875,c_18874,c_18873,c_18867,c_18863,c_18859,c_18858,c_18853,c_18849,c_18848,c_18845,c_18793,c_18787,c_18782,c_18778,c_18774,c_18769,c_18765,c_18761,c_18756,c_18751,c_18742,c_18741,c_18740,c_18739,c_18738,c_18737,c_18736,c_18735,c_18734,c_18733,c_18721,c_18717,c_18709,c_18694,c_18693,c_18691,c_18688,c_18657,c_18651,c_18646,c_18642,c_18638,c_18633,c_18629,c_18625,c_18620,c_18615,c_18609,c_18608,c_18607,c_18606,c_18605,c_18604,c_18603,c_18602,c_18601,c_18600,c_18588,c_18584,c_18580,c_18573,c_18572,c_18569,c_18557,c_18551,c_18546,c_18542,c_18538,c_18533,c_18529,c_18525,c_18520,c_18515,c_18510,c_18509,c_18508,c_18507,c_18506,c_18505,c_18504,c_18503,c_18502,c_18501,c_18449,c_18445,c_18441,c_18435,c_18434,c_18431,c_18319,c_18313,c_18308,c_18304,c_18300,c_18295,c_18291,c_18287,c_18282,c_18277,c_18272,c_18271,c_18270,c_18269,c_18268,c_18267,c_18266,c_18265,c_18264,c_18263,c_18251,c_18247,c_18243,c_18237,c_18236,c_18233,c_18204,c_18198,c_18193,c_18189,c_18185,c_18180,c_18176,c_18172,c_18167,c_18162,c_18158,c_18157,c_18156,c_18155,c_18154,c_18153,c_18152,c_18151,c_18150,c_18149,c_18096,c_18092,c_18088,c_18083,c_18082,c_18079,c_18065,c_18059,c_18054,c_18050,c_18046,c_18041,c_18037,c_18033,c_18028,c_18023,c_18020,c_18019,c_18018,c_18017,c_18016,c_18014,c_18013,c_18012,c_18011,c_18010,c_17994,c_17990,c_17986,c_17982,c_17981,c_17978,c_17968,c_17967,c_17966,c_17962,c_17960,c_17959,c_17957,c_17956,c_17951,c_17946,c_17942,c_17941,c_17939,c_17938,c_17932,c_17937,c_17924,c_17919,c_17915,c_17910,c_17909,c_17914,c_17897,c_17892,c_17887,c_17882,c_17878,c_17874,c_17870,c_17868,c_17867,c_17865,c_17863,c_17862,c_17866,c_17869,c_17854,c_17848,c_17847,c_17846,c_17845,c_17844,c_17843,c_17842,c_17841,c_17840,c_17839,c_17830,c_17825,c_17820,c_17815,c_17811,c_17807,c_17806,c_17804,c_17803,c_17801,c_17798,c_17796,c_17802,c_17805,c_17791,c_17790,c_17789,c_17787,c_17786,c_17780,c_17779,c_17776,c_17775,c_17774,c_17772,c_17769,c_17768,c_17758,c_17753,c_17748,c_17743,c_17739,c_17735,c_17734,c_17733,c_17731,c_17730,c_17728,c_17727,c_17726,c_17724,c_17729,c_17732,c_17657,c_17654,c_17653,c_17652,c_17649,c_17648,c_17647,c_17646,c_17645,c_17644,c_17640,c_17639,c_17635,c_17634,c_17631,c_17630,c_17628,c_17627,c_17572,c_17567,c_17562,c_17557,c_17553,c_17549,c_17548,c_17547,c_17545,c_17544,c_17542,c_17541,c_17540,c_17538,c_17543,c_17546,c_17474,c_17469,c_17464,c_17459,c_17455,c_17451,c_17447,c_17445,c_17444,c_17442,c_17440,c_17439,c_17443,c_17446,c_17431,c_17416,c_17415,c_17414,c_17413,c_17412,c_17411,c_17410,c_17409,c_17408,c_17407,c_17398,c_17393,c_17388,c_17383,c_17379,c_17375,c_17374,c_17372,c_17371,c_17369,c_17366,c_17364,c_17370,c_17373,c_17359,c_17271,c_17270,c_17268,c_17267,c_17249,c_17248,c_17245,c_17244,c_17243,c_17241,c_17238,c_17237,c_17182,c_17177,c_17172,c_17167,c_17163,c_17159,c_17158,c_17157,c_17155,c_17154,c_17152,c_17151,c_17150,c_17148,c_17153,c_17156,c_17128,c_17125,c_17124,c_17123,c_17120,c_17119,c_17118,c_17117,c_17116,c_17115,c_17079,c_17078,c_17074,c_17073,c_17070,c_17069,c_17067,c_17066,c_17054,c_17049,c_17044,c_17039,c_17035,c_17031,c_17030,c_17029,c_17027,c_17026,c_17024,c_17023,c_17022,c_17020,c_17025,c_17028,c_17011,c_17006,c_17001,c_16996,c_16992,c_16988,c_16984,c_16982,c_16981,c_16979,c_16977,c_16976,c_16980,c_16983,c_16968,c_16962,c_16961,c_16960,c_16959,c_16958,c_16957,c_16956,c_16955,c_16954,c_16953,c_16944,c_16939,c_16934,c_16929,c_16925,c_16921,c_16920,c_16918,c_16917,c_16915,c_16912,c_16910,c_16916,c_16919,c_16905,c_16904,c_16903,c_16901,c_16900,c_16894,c_16893,c_16890,c_16889,c_16888,c_16886,c_16883,c_16882,c_16872,c_16867,c_16862,c_16857,c_16853,c_16849,c_16848,c_16847,c_16845,c_16844,c_16842,c_16841,c_16840,c_16838,c_16843,c_16846,c_16830,c_16827,c_16826,c_16825,c_16822,c_16821,c_16820,c_16819,c_16818,c_16817,c_16813,c_16812,c_16808,c_16807,c_16804,c_16803,c_16801,c_16800,c_16790,c_16785,c_16780,c_16775,c_16771,c_16767,c_16766,c_16765,c_16763,c_16762,c_16760,c_16759,c_16758,c_16756,c_16761,c_16764,c_16651,c_16645,c_16639,c_16633,c_16627,c_16621,c_16615,c_16610,c_16605,c_16603,c_16602,c_16600,c_16599,c_16598,c_16597,c_16601,c_16604,c_16590,c_16575,c_16569,c_16563,c_16557,c_16551,c_16545,c_16539,c_16534,c_16529,c_16527,c_16526,c_16524,c_16523,c_16522,c_16521,c_16525,c_16528,c_16514,c_16506,c_16503,c_16502,c_16495,c_16494,c_16493,c_16491,c_16489,c_16478,c_16470,c_16462,c_16454,c_16446,c_16438,c_16430,c_16422,c_16414,c_16406,c_16398,c_16390,c_16382,c_16374,c_16366,c_16358,c_16350,c_16342,c_16334,c_16326,c_16318,c_16310,c_16302,c_16294,c_16286,c_16278,c_16270,c_16249,c_16247,c_16246,c_16245,c_16244,c_16243,c_16242,c_16241,c_16240,c_16239,c_16238,c_16237,c_16236,c_16235,c_16234,c_16233,c_16232,c_16231,c_16230,c_16229,c_16228,c_16227,c_16226,c_16225,c_16224,c_16223,c_16222,c_16221,c_16220,c_16219,c_16218,c_16217,c_16216,c_16215,c_16214,c_16213,c_16212,c_16211,c_16210,c_16209,c_16208,c_16207,c_16206,c_16205,c_16204,c_16203,c_16202,c_16501,c_16496,c_15978,c_15975,c_15972,c_15969,c_15966,c_15961,c_15956,c_15953,c_15949,c_15946,c_15943,c_15940,c_15937,c_15933,c_15929,c_15925,c_15922,c_15919,c_15915,c_15911,c_15907,c_15903,c_15902,c_15901,c_15900,c_15899,c_15898,c_15897,c_15896,c_15895,c_15894,c_15893,c_15892,c_15891,c_15890,c_15889,c_15888,c_15887,c_15886,c_15885,c_15884,c_15883,c_15881,c_15880,c_15879,c_15878,c_15877,c_15876,c_15622,c_15617,c_15612,c_15607,c_15600,c_15595,c_15590,c_15585,c_15580,c_15573,c_15566,c_15559,c_15552,c_15545,c_15538,c_15531,c_15524,c_15517,c_15510,c_15503,c_15496,c_15489,c_15482,c_15475,c_15468,c_15461,c_15454,c_15447,c_15440,c_15433,c_15428,c_15423,c_15418,c_15413,c_15406,c_15399,c_15392,c_15385,c_15378,c_15371,c_15364,c_15357,c_15350,c_15343,c_15336,c_15329,c_15322,c_15315,c_15308,c_15301,c_15294,c_15287,c_15280,c_15273,c_15268,c_15263,c_15258,c_15253,c_15247,c_15241,c_15235,c_15229,c_15223,c_15217,c_15211,c_15205,c_15200,c_15195,c_15190,c_15185,c_15180,c_15174,c_15168,c_15162,c_15156,c_15150,c_15144,c_15138,c_15132,c_15127,c_15122,c_15117,c_15116,c_15115,c_15114,c_15113,c_15112,c_15111,c_15110,c_15109,c_15108,c_15107,c_15106,c_15105,c_15104,c_15103,c_15102,c_15101,c_15100,c_15099,c_15098,c_15097,c_15096,c_15095,c_15094,c_15093,c_15092,c_15090,c_15088,c_15087,c_15086,c_15084,c_15082,c_15081,c_15080,c_15079,c_15077,c_15076,c_15075,c_15071,c_15070,c_15069,c_15068,c_15067,c_15066,c_15065,c_15064,c_15063,c_15060,c_15059,c_15058,c_15057,c_15056,c_15055,c_15054,c_15053,c_15052,c_15051,c_15050,c_15049,c_15048,c_15047,c_15046,c_15045,c_15044,c_15043,c_15042,c_15041,c_15039,c_15037,c_15036,c_15035,c_15033,c_15031,c_15030,c_15029,c_15028,c_15026,c_15025,c_15024,c_15020,c_15019,c_15018,c_15017,c_15016,c_15015,c_15014,c_15013,c_15012,c_16498,c_16497,c_14423,c_14418,c_14413,c_14408,c_14403,c_14398,c_14393,c_14388,c_14381,c_14375,c_14369,c_14362,c_14355,c_14348,c_14342,c_14336,c_14330,c_14323,c_14316,c_14309,c_14303,c_14296,c_14290,c_14284,c_14278,c_14272,c_14266,c_14260,c_14255,c_14250,c_14245,c_14240,c_14233,c_14227,c_14221,c_14214,c_14207,c_14200,c_14194,c_14188,c_14182,c_14175,c_14168,c_14161,c_14155,c_14148,c_14142,c_14136,c_14130,c_14124,c_14118,c_14112,c_14107,c_14101,c_14095,c_14089,c_14084,c_14079,c_14074,c_14068,c_14062,c_14056,c_14050,c_14045,c_14039,c_14034,c_14028,c_14022,c_14016,c_14011,c_14006,c_14001,c_13995,c_13989,c_13983,c_13977,c_13972,c_13966,c_13961,c_13956,c_13955,c_13954,c_13953,c_13952,c_13951,c_13950,c_13949,c_13948,c_13947,c_13946,c_13945,c_13944,c_13943,c_13942,c_13941,c_13940,c_13939,c_13938,c_13937,c_13936,c_13935,c_13934,c_13933,c_13932,c_13931,c_13930,c_13928,c_13926,c_13925,c_13924,c_13922,c_13920,c_13919,c_13917,c_13913,c_13912,c_13911,c_13910,c_13909,c_13908,c_13907,c_13906,c_13905,c_13904,c_13901,c_13899,c_13898,c_13897,c_13896,c_13895,c_13894,c_13893,c_13892,c_13891,c_13890,c_13889,c_13888,c_13887,c_13886,c_13885,c_13884,c_13883,c_13882,c_13881,c_13880,c_13879,c_13877,c_13875,c_13874,c_13873,c_13871,c_13869,c_13868,c_13866,c_13862,c_13861,c_13860,c_13859,c_13858,c_13857,c_13856,c_13855,c_13854,c_13853,c_13850,c_13830,c_13825,c_13820,c_13815,c_13811,c_13807,c_13803,c_13801,c_13800,c_13798,c_13796,c_13795,c_13799,c_13802,c_13768,c_13767,c_13766,c_13763,c_13759,c_13758,c_13757,c_13756,c_13755,c_13754,c_13723,c_13718,c_13714,c_13711,c_13708,c_13712,c_13713,c_13698,c_13693,c_13689,c_13685,c_13682,c_13679,c_13683,c_13684,c_13669,c_13664,c_13660,c_13656,c_13653,c_13650,c_13654,c_13655,c_13640,c_13635,c_13631,c_13625,c_13629,c_13630,c_13615,c_13610,c_13606,c_13602,c_13599,c_13596,c_13600,c_13601,c_13586,c_13581,c_13579,c_13580,c_13567,c_13561,c_13557,c_13554,c_13551,c_13555,c_13556,c_13543,c_13538,c_13534,c_13531,c_13528,c_13532,c_13533,c_13419,c_13414,c_13410,c_13406,c_13403,c_13400,c_13404,c_13405,c_13358,c_13353,c_13349,c_13345,c_13342,c_13339,c_13343,c_13344,c_13247,c_13241,c_13237,c_13233,c_13229,c_13225,c_13221,c_13215,c_13209,c_13203,c_13197,c_13191,c_13185,c_13179,c_13173,c_13167,c_13161,c_13157,c_13153,c_13149,c_13145,c_13140,c_13135,c_13130,c_13125,c_13120,c_13115,c_13110,c_13105,c_13101,c_13097,c_13095,c_13094,c_13093,c_13092,c_13091,c_13090,c_13089,c_13088,c_13087,c_13086,c_13084,c_13082,c_13081,c_13080,c_13078,c_13076,c_13075,c_13074,c_13073,c_13071,c_13070,c_13069,c_13065,c_13064,c_13063,c_13062,c_13061,c_13060,c_13059,c_13058,c_13057,c_12796,c_12792,c_12788,c_12784,c_12780,c_12776,c_12771,c_12765,c_12759,c_12753,c_12748,c_12742,c_12736,c_12730,c_12725,c_12719,c_12715,c_12710,c_12705,c_12700,c_12696,c_12692,c_12688,c_12683,c_12678,c_12673,c_12668,c_12664,c_12659,c_12655,c_12653,c_12652,c_12651,c_12650,c_12649,c_12648,c_12647,c_12646,c_12645,c_12644,c_12643,c_12641,c_12639,c_12638,c_12637,c_12635,c_12633,c_12632,c_12630,c_12626,c_12625,c_12624,c_12623,c_12622,c_12621,c_12620,c_12619,c_12618,c_12617,c_12614,c_12275,c_12270,c_12265,c_12260,c_12254,c_12248,c_12242,c_12236,c_12230,c_12224,c_12218,c_12212,c_12206,c_12200,c_12194,c_12188,c_12182,c_12176,c_12170,c_12164,c_12158,c_12152,c_12146,c_12140,c_12134,c_12128,c_12122,c_12116,c_12110,c_12104,c_12098,c_12092,c_12086,c_12080,c_12074,c_12068,c_12062,c_12056,c_12050,c_12044,c_12038,c_12032,c_12026,c_12020,c_12014,c_12008,c_12002,c_11996,c_11990,c_11984,c_11978,c_11972,c_11966,c_11960,c_11954,c_11948,c_11942,c_11936,c_11931,c_11926,c_11921,c_11916,c_11911,c_11906,c_11901,c_11896,c_11891,c_11886,c_11881,c_11876,c_11871,c_11866,c_11861,c_11856,c_11851,c_11846,c_11841,c_11836,c_11831,c_11826,c_11821,c_11816,c_11811,c_11806,c_11801,c_11796,c_11791,c_11786,c_11781,c_11776,c_11775,c_11774,c_11773,c_11772,c_11771,c_11770,c_11769,c_11768,c_11767,c_11766,c_11765,c_11764,c_11763,c_11762,c_11761,c_11760,c_11759,c_11758,c_11757,c_11756,c_11755,c_11754,c_11753,c_11752,c_11751,c_11750,c_11749,c_11748,c_11747,c_11746,c_11745,c_11744,c_11743,c_11742,c_11741,c_11740,c_11739,c_11738,c_11737,c_11736,c_11735,c_11734,c_11733,c_11732,c_11731,c_11730,c_11729,c_11728,c_11727,c_11726,c_11725,c_11724,c_11723,c_11722,c_11721,c_11720,c_11719,c_11718,c_11717,c_11716,c_11715,c_11714,c_11713,c_11712,c_11711,c_11710,c_11709,c_11708,c_11707,c_11706,c_11705,c_11704,c_11703,c_11702,c_11701,c_11700,c_11699,c_11698,c_11697,c_11696,c_11695,c_11694,c_11693,c_11692,c_11691,c_11690,c_11689,c_11688,c_11687,c_11686,c_11685,c_11684,c_11683,c_11682,c_11681,c_16492,c_11130,c_11125,c_11120,c_11115,c_11109,c_11103,c_11097,c_11091,c_11085,c_11079,c_11073,c_11067,c_11061,c_11055,c_11049,c_11043,c_11037,c_11031,c_11025,c_11019,c_11013,c_11007,c_11001,c_10995,c_10989,c_10983,c_10977,c_10971,c_10965,c_10959,c_10953,c_10947,c_10941,c_10935,c_10929,c_10923,c_10917,c_10911,c_10905,c_10899,c_10893,c_10887,c_10881,c_10875,c_10869,c_10863,c_10857,c_10851,c_10845,c_10839,c_10833,c_10827,c_10821,c_10815,c_10809,c_10803,c_10797,c_10791,c_10786,c_10781,c_10776,c_10771,c_10766,c_10761,c_10756,c_10751,c_10746,c_10741,c_10736,c_10731,c_10726,c_10721,c_10716,c_10711,c_10706,c_10701,c_10696,c_10691,c_10686,c_10681,c_10676,c_10671,c_10666,c_10661,c_10656,c_10651,c_10646,c_10641,c_10636,c_10631,c_10630,c_10629,c_10628,c_10627,c_10626,c_10625,c_10624,c_10623,c_10622,c_10621,c_10620,c_10619,c_10618,c_10617,c_10616,c_10615,c_10614,c_10613,c_10612,c_10611,c_10610,c_10609,c_10608,c_10607,c_10606,c_10605,c_10604,c_10603,c_10602,c_10601,c_10600,c_10599,c_10598,c_10597,c_10596,c_10595,c_10594,c_10593,c_10592,c_10591,c_10590,c_10589,c_10588,c_10587,c_10586,c_10585,c_10584,c_10583,c_10582,c_10581,c_10580,c_10579,c_10578,c_10577,c_10576,c_10575,c_10574,c_10573,c_10572,c_10571,c_10570,c_10569,c_10568,c_10567,c_10566,c_10565,c_10564,c_10563,c_10562,c_10561,c_10560,c_10559,c_10558,c_10557,c_10556,c_10555,c_10554,c_10553,c_10552,c_10551,c_10550,c_10549,c_10548,c_10547,c_10546,c_10545,c_10544,c_10543,c_10542,c_10541,c_10540,c_10539,c_10538,c_10537,c_10536,c_10514,c_10510,c_10506,c_10505,c_10502,c_10494,c_10493,c_10490,c_10486,c_10485,c_10482,c_10478,c_10474,c_10473,c_10470,c_10394,c_10393,c_10392,c_10391,c_10390,c_10389,c_10388,c_10387,c_10386,c_10385,c_10210,c_10209,c_10208,c_10207,c_10206,c_10205,c_10204,c_10203,c_10202,c_10201,c_10200,c_10199,c_10198,c_10197,c_10196,c_10195,c_10194,c_10193,c_10192,c_10007,c_10006,c_10005,c_10004,c_10003,c_10002,c_10001,c_10000,c_9999,c_9998,c_9997,c_9996,c_9995,c_9994,c_9993,c_9992,c_9991,c_9990,c_9989,c_9812,c_9806,c_9800,c_9794,c_9788,c_9782,c_9776,c_9770,c_9764,c_9758,c_9752,c_9746,c_9740,c_9734,c_9728,c_9722,c_9719,c_9714,c_9709,c_9704,c_9699,c_9694,c_9689,c_9684,c_9679,c_9674,c_9669,c_9664,c_9659,c_9654,c_9649,c_9644,c_9639,c_9634,c_9630,c_9626,c_9622,c_9618,c_9614,c_9613,c_9612,c_9611,c_9610,c_9609,c_9608,c_9607,c_9606,c_9605,c_9604,c_9603,c_9602,c_9601,c_9600,c_9599,c_9598,c_9597,c_9596,c_9595,c_9594,c_9593,c_9592,c_9591,c_9590,c_9589,c_9588,c_9586,c_9585,c_9584,c_9583,c_9582,c_9581,c_9575,c_9574,c_9573,c_9572,c_9571,c_9570,c_9568,c_9566,c_9565,c_9484,c_9478,c_9472,c_9466,c_9460,c_9454,c_9448,c_9442,c_9436,c_9430,c_9424,c_9418,c_9412,c_9406,c_9400,c_9394,c_9389,c_9384,c_9379,c_9374,c_9369,c_9368,c_9367,c_9366,c_9365,c_9364,c_9363,c_9362,c_9360,c_9359,c_9358,c_9357,c_9352,c_9351,c_9350,c_9348,c_9347,c_9346,c_9345,c_9344,c_9339,c_9338,c_9336,c_9335,c_9334,c_9333,c_9332,c_9302,c_9298,c_9297,c_9293,c_9295,c_9296,c_9271,c_9267,c_9263,c_9259,c_9255,c_9193,c_9188,c_9184,c_9180,c_9175,c_9174,c_9178,c_9179,c_9154,c_9149,c_9147,c_9148,c_9140,c_9139,c_9137,c_9136,c_9103,c_9102,c_9100,c_9097,c_9020,c_9019,c_9018,c_9017,c_9013,c_9009,c_9008,c_9005,c_9004,c_9003,c_9002,c_9001,c_8998,c_8995,c_8992,c_8991,c_8990,c_8987,c_8984,c_8981,c_8978,c_8977,c_8976,c_8975,c_8974,c_8973,c_8972,c_8971,c_8970,c_8969,c_8968,c_8967,c_8966,c_8965,c_8964,c_8963,c_8962,c_8961,c_8960,c_8959,c_8957,c_8956,c_8955,c_8954,c_8953,c_8827,c_8822,c_8817,c_8812,c_8807,c_8802,c_8797,c_8792,c_8787,c_8782,c_8777,c_8772,c_8767,c_8762,c_8757,c_8752,c_8747,c_8742,c_8737,c_8732,c_8727,c_8722,c_8717,c_8712,c_8707,c_8702,c_8698,c_8694,c_8690,c_8686,c_8682,c_8678,c_8674,c_8670,c_8666,c_8662,c_8658,c_8654,c_8650,c_8646,c_8642,c_8638,c_8636,c_8635,c_8634,c_8633,c_8632,c_8631,c_8630,c_8629,c_8628,c_8627,c_8626,c_8625,c_8624,c_8623,c_8622,c_8621,c_8620,c_8619,c_8618,c_8617,c_8616,c_8615,c_8614,c_8613,c_8612,c_8611,c_8610,c_8609,c_8608,c_8607,c_8606,c_8605,c_8604,c_8603,c_8602,c_8601,c_8600,c_8599,c_8598,c_8597,c_8596,c_8595,c_8349,c_8344,c_8339,c_8334,c_8329,c_8324,c_8319,c_8314,c_8309,c_8304,c_8299,c_8294,c_8289,c_8284,c_8279,c_8274,c_8269,c_8264,c_8259,c_8254,c_8249,c_8244,c_8239,c_8234,c_8229,c_8224,c_8220,c_8216,c_8212,c_8208,c_8204,c_8200,c_8196,c_8192,c_8188,c_8184,c_8180,c_8176,c_8172,c_8168,c_8164,c_8160,c_8158,c_8157,c_8156,c_8155,c_8154,c_8153,c_8152,c_8151,c_8150,c_8149,c_8148,c_8147,c_8146,c_8145,c_8144,c_8143,c_8142,c_8141,c_8140,c_8139,c_8138,c_8137,c_8136,c_8135,c_8134,c_8133,c_8132,c_8131,c_8130,c_8129,c_8128,c_8127,c_8126,c_8125,c_8124,c_8123,c_8122,c_8121,c_8120,c_8119,c_8118,c_8117,c_8038,c_8033,c_8012,c_8011,c_8010,c_8008,c_7995,c_7994,c_7993,c_7991,c_7986,c_7982,c_7978,c_7974,c_7970,c_7966,c_7962,c_7958,c_7955,c_7952,c_7948,c_7944,c_7927,c_7923,c_7919,c_7915,c_7911,c_7907,c_7871,c_7868,c_7867,c_7866,c_7863,c_7862,c_7861,c_7860,c_7859,c_7858,c_7854,c_7853,c_7851,c_7850,c_7688,c_7687,c_7686,c_7685,c_7684,c_7683,c_7682,c_7681,c_7680,c_7679,c_7678,c_7677,c_7676,c_7675,c_7674,c_7673,c_7672,c_7671,c_7670,c_7491,c_7490,c_7489,c_7488,c_7487,c_7486,c_7485,c_7484,c_7483,c_7482,c_7481,c_7480,c_7479,c_7478,c_7477,c_7476,c_7475,c_7474,c_7473,c_7403,c_7398,c_7394,c_7390,c_7386,c_7382,c_7378,c_7374,c_7370,c_7366,c_7362,c_7358,c_7354,c_7350,c_7346,c_7345,c_7344,c_7343,c_7342,c_7340,c_7339,c_7338,c_7337,c_7336,c_7335,c_7334,c_7329,c_7328,c_7326,c_7325,c_7324,c_7323,c_7322,c_7308,c_7307,c_7306,c_7304,c_7300,c_7296,c_7292,c_7288,c_7285,c_7284,c_7256,c_7252,c_7249,c_7248,c_7237,c_7233,c_7224,c_7220,c_7216,c_7212,c_7208,c_7204,c_7201,c_7198,c_7194,c_7190,c_7182,c_7178,c_7151,c_7140,c_7135,c_7130,c_7126,c_7122,c_7118,c_7114,c_7104,c_7100,c_7096,c_7092,c_7088,c_7084,c_7080,c_7076,c_7075,c_7074,c_7073,c_7072,c_7071,c_7070,c_7069,c_7068,c_7066,c_7065,c_7064,c_7063,c_7062,c_7056,c_7055,c_7054,c_7053,c_7052,c_7051,c_7048,c_6889,c_6886,c_6883,c_6880,c_6877,c_6864,c_6863,c_6862,c_6861,c_6860,c_6859,c_6858,c_6857,c_6856,c_6855,c_6854,c_6853,c_6852,c_6851,c_6850,c_6849,c_6848,c_6847,c_6833,c_6829,c_6825,c_6821,c_6817,c_6813,c_6812,c_6810,c_6809,c_6806,c_6802,c_6800,c_6799,c_6796,c_6793,c_6790,c_6787,c_6786,c_6738,c_6737,c_6736,c_6735,c_6734,c_6733,c_6732,c_6731,c_6730,c_6729,c_6728,c_6625,c_6624,c_6623,c_6622,c_6621,c_6620,c_6619,c_6618,c_6617,c_6616,c_6615,c_6537,c_6534,c_6533,c_6532,c_6531,c_6530,c_6529,c_6528,c_6527,c_6526,c_6525,c_6524,c_6523,c_6522,c_6521,c_6520,c_6519,c_6518,c_6517,c_6516,c_6515,c_6514,c_6513,c_6512,c_6511,c_6510,c_6509,c_6508,c_6507,c_6506,c_6505,c_6504,c_6503,c_6502,c_6501,c_6500,c_6499,c_6498,c_6497,c_6496,c_6495,c_6465,c_6451,c_6448,c_6445,c_6442,c_6437,c_6433,c_6429,c_6425,c_6422,c_6421,c_6420,c_6417,c_6414,c_6411,c_6408,c_6405,c_6404,c_6403,c_6402,c_6401,c_6400,c_6399,c_6398,c_6397,c_6395,c_6394,c_6393,c_6392,c_6391,c_6385,c_6384,c_6383,c_6382,c_6381,c_6377,c_6299,c_6298,c_6297,c_6296,c_6295,c_6292,c_6289,c_6286,c_6277,c_6276,c_6275,c_6274,c_6273,c_6272,c_6271,c_6270,c_6269,c_6266,c_6265,c_6264,c_6263,c_6262,c_6261,c_6260,c_6259,c_6258,c_6257,c_6256,c_6255,c_6254,c_6253,c_6252,c_6251,c_6250,c_6249,c_6248,c_6247,c_6246,c_6245,c_6244,c_6243,c_6242,c_6241,c_6240,c_6239,c_6238,c_6237,c_6236,c_6235,c_6234,c_6233,c_6215,c_6214,c_6213,c_6212,c_6211,c_6209,c_6204,c_6201,c_6184,c_6178,c_6111,c_6110,c_6109,c_6108,c_6107,c_6104,c_6101,c_6098,c_6089,c_6088,c_6087,c_6086,c_6085,c_6084,c_6083,c_6082,c_6079,c_6078,c_6077,c_6076,c_6075,c_6074,c_6073,c_6072,c_6071,c_6070,c_6069,c_6068,c_6067,c_6066,c_6065,c_6064,c_6063,c_6062,c_6061,c_6060,c_6059,c_6058,c_6057,c_6056,c_6055,c_6054,c_6053,c_6052,c_6051,c_6050,c_6049,c_6048,c_6047,c_6046,c_6031,c_5986,c_5982,c_5965,c_5964,c_5963,c_5962,c_5913,c_5899,c_5896,c_5893,c_5890,c_5885,c_5881,c_5877,c_5873,c_5860,c_5859,c_5858,c_5855,c_5852,c_5849,c_5846,c_5843,c_5842,c_5841,c_5840,c_5839,c_5838,c_5837,c_5836,c_5835,c_5833,c_5832,c_5831,c_5830,c_5829,c_5823,c_5822,c_5821,c_5820,c_5819,c_5818,c_5816,c_5815,c_5804,c_5801,c_5789,c_5788,c_5787,c_5786,c_5785,c_5784,c_5783,c_5782,c_5781,c_5780,c_5779,c_5778,c_5774,c_5773,c_5772,c_5771,c_5770,c_5769,c_5760,c_5759,c_5758,c_5757,c_5756,c_5755,c_5754,c_5753,c_5752,c_5751,c_5750,c_5749,c_5748,c_5747,c_5746,c_5745,c_5744,c_5722,c_5719,c_5716,c_5715,c_5714,c_5713,c_5593,c_5592,c_5591,c_5590,c_5589,c_5588,c_5587,c_5586,c_5585,c_5584,c_5583,c_5564,c_5563,c_5562,c_5561,c_5552,c_5551,c_5550,c_5549,c_5548,c_5547,c_5546,c_5545,c_5544,c_5543,c_5542,c_5541,c_5540,c_5539,c_5538,c_5529,c_5528,c_5527,c_5526,c_5525,c_5524,c_5523,c_5522,c_5521,c_5520,c_5519,c_5518,c_5517,c_5516,c_5515,c_5437,c_5436,c_5435,c_5434,c_5433,c_5432,c_5431,c_5430,c_5429,c_5428,c_5394,c_5393,c_5392,c_5391,c_5390,c_5389,c_5388,c_5387,c_5386,c_5385,c_5384,c_5361,c_5348,c_5345,c_5342,c_5339,c_5337,c_5328,c_5327,c_5326,c_5248,c_5247,c_5246,c_5245,c_5244,c_5243,c_5242,c_5241,c_5240,c_5239,c_5238,c_5237,c_5176,c_5175,c_5174,c_5173,c_5172,c_5171,c_5170,c_5169,c_5160,c_5158,c_5157,c_5155,c_5154,c_5152,c_5151,c_5149,c_5142,c_5140,c_5123,c_5122,c_5121,c_5120,c_5119,c_5118,c_5117,c_5116,c_5064,c_5063,c_5062,c_5061,c_5060,c_5059,c_5058,c_5057,c_4987,c_4986,c_4985,c_4984,c_4983,c_4982,c_4981,c_4980,c_4979,c_4978,c_4921,c_4920,c_4919,c_4918,c_4917,c_4916,c_4915,c_4914,c_4903,c_4901,c_4877,c_4876,c_4875,c_4874,c_4873,c_4872,c_4871,c_4841,c_4840,c_4839,c_4838,c_4837,c_4836,c_4835,c_4818,c_4817,c_4816,c_4815,c_4814,c_4813,c_4812,c_4811,c_4810,c_4809,c_4808,c_4807,c_4806,c_4805,c_4804,c_4803,c_4802,c_4794,c_4792,c_4791,c_4789,c_4786,c_4785,c_4784,c_4783,c_4782,c_4781,c_4780,c_4779,c_4778,c_4777,c_4776,c_4775,c_4774,c_4773,c_4772,c_4771,c_4770,c_4769,c_4738,c_4737,c_4736,c_4735,c_4734,c_4733,c_4693,c_4692,c_4691,c_4690,c_4689,c_4688,c_4672,c_4671,c_4670,c_4663,c_4662,c_4661,c_4659,c_4654,c_4653,c_4652,c_4650,c_4645,c_4644,c_4643,c_4642,c_4641,c_4636,c_4635,c_4634,c_4633,c_4627,c_4626,c_4625,c_4624,c_4623,c_19188,c_191,c_184,c_181,c_178,c_176,c_174,c_4801,c_3375,c_3376,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_97,c_96,c_94,c_93,c_92,c_91,c_89,c_87,c_85,c_83,c_81,c_80,c_82,c_78,c_77,c_75,c_74,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM495+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n011.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 04:17:02 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 14.97/7.83 % SZS status Started for theBenchmark.p
% 14.97/7.83 % SZS status Theorem for theBenchmark.p
% 14.97/7.83
% 14.97/7.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.97/7.83
% 14.97/7.83 % ------ iProver source info
% 14.97/7.83
% 14.97/7.83 % git: date: 2026-07-19 20:42:38 +0200
% 14.97/7.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.97/7.83 % git: non_committed_changes: false
% 14.97/7.83
% 14.97/7.83 % ------ Parsing...
% 14.97/7.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.97/7.83
% 14.97/7.83 % ------ 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 %
% 14.97/7.83
% 14.97/7.83 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.97/7.83
% 14.97/7.83 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.97/7.83 % ------ Proving...
% 14.97/7.83 % ------ Problem Properties
% 14.97/7.83
% 14.97/7.83 %
% 14.97/7.83 % clauses 77
% 14.97/7.83 % conjectures 2
% 14.97/7.83 % EPR 23
% 14.97/7.83 % Horn 52
% 14.97/7.83 % unary 19
% 14.97/7.83 % binary 7
% 14.97/7.83 % lits 272
% 14.97/7.83 % lits eq 74
% 14.97/7.83 % fd_pure 0
% 14.97/7.83 % fd_pseudo 0
% 14.97/7.83 % fd_cond 15
% 14.97/7.83 % fd_pseudo_cond 11
% 14.97/7.83 % AC symbols 0
% 14.97/7.83
% 14.97/7.83 % ------ Schedule dynamic 5 is on
% 14.97/7.83
% 14.97/7.83 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.97/7.83
% 14.97/7.83
% 14.97/7.83 % ------
% 14.97/7.83 % Current options:
% 14.97/7.83 % ------
% 14.97/7.83
% 14.97/7.83
% 14.97/7.83 %
% 14.97/7.83
% 14.97/7.83 % ------ Proving...
% 14.97/7.83 %
% 14.97/7.83
% 14.97/7.83 % SZS status Theorem for theBenchmark.p
% 14.97/7.83
% 14.97/7.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.97/7.99
% 14.97/7.99
%------------------------------------------------------------------------------